Fixes#1610. Also fixes#1358 (the `<<binary>>` arity miscount in behaviour dispatch, reported separately and hit by the same code path).
## Problem
Arity is part of an Erlang function's identity — `f/1` and `f/2` are unrelated top-level definitions — but the extractor merged consecutive same-name `fun_decl`s regardless of arity. Reproduced on main exactly as reported:
- adjacent `f(X) -> …. f(X, Y) -> ….` → **one** node spanning both, with the first definition's signature;
- interleaved `f/1, g/0, f/2` → two nodes with **identical** `qualified_name`;
- `cowboy_req`'s `header(Name, Req) -> header(Name, Req, undefined).` → a **self-loop** `header → header`, with the `-spec` for `/3` swallowed by the merged span;
- `-export([f/1])` marked every arity exported.
## Fix
- **One node per (name, arity).** Clauses of the same name+arity still merge (that part of the old behavior was correct); a different arity starts a new node. `qualifiedName` carries the canonical spelling — `mod::f/1` — while the node **name stays bare** so search and bare-name matching are unchanged.
- **`-export` and `-spec` are per-arity.** `-export([f/1])` exports exactly `f/1`; a spec sitting between two arities attaches to the arity its signature names.
- **Refs carry the call-site arity** wherever it's statically known: local `f/1`, remote `mod::f/2`, `fun f/1` / `fun mod:f/1` values, `gen_server` dispatch (`handle_call/3`, `handle_cast/2`), and spawn/apply MFA lists (`spawn_link(?MODULE, work, [A, B])` → `work/2`).
- **The matcher resolves only to the named arity** — same file first (a local call targets its own module) — and when no definition of that arity exists it resolves to **nothing** rather than a sibling arity: silent beats wrong. An arity-less dynamic-MFA ref resolves only when the module defines exactly one arity of that name.
- **Behaviour dispatch** selects the implementer node of the site's arity, and the arity counter now skips `<<1,2,3>>` binary-literal commas per its own docstring (#1358) — `Mod:decode(<<1,2,3>>, Opts)` counts 2, not 4.
- **`codegraph_explore` / `codegraph_node`** accept the written `mod:fn/3` spelling against the new arity-qualified names (the issue's measured `cowboy_stream_h:request_process/3` shape).
## Validation
Minimal fixtures (all three reported shapes) now index as `gap::f/1` + `gap::f/2`, distinct `inter::f/1`/`inter::f/2`, and a real `deleg::header/2 → deleg::header/3` edge with no self-loop.
Cowboy (fresh `--depth 1` clone, this build vs unmodified main build):
| | main | this PR |
|---|---|---|
| nodes | 3,668 | 3,748 (+80 — the arity splits; no explosion) |
| erlang function nodes | 2,850 | 2,930 |
| behaviour dispatch edges | 38 | **44** |
| `cowboy_req::header` | one node, span 420–425, /3's spec lost | `header/2` (420–421, its own spec) + `header/3` (424–425, its spec) |
| delegation | self-loop | `header/2 → header/3` |
`calls` edges drop 6,059 → 5,656: a sample of every removed pair shows the false-positive class the issue predicted — out-of-repo/BIF calls (`length/1`, `error/1`, `quicer:*`) that previously name-matched onto unrelated same-named in-repo functions now stay unresolved.
Tests: new arity coverage in extraction + a new arity-resolution integration suite + a #1358 binary-literal behaviour test; updated existing Erlang expectations to the arity-carrying spellings. Full suite: **3,018 passed, 0 failed**.
No migration: an existing Erlang index picks the new shape up on its next re-index (`codegraph sync` / re-`init`).
Erlang is wasm-only (not in the native kernel), so there is no kernel-parity surface.
🤖 Generated with [Claude Code](https://claude.com/claude-code)
https://claude.ai/code/session_01LxZj6W6Y1SHXwvpT3uwJpK
Colby MchenryandGitHub
41c10750e0