Pith Number

pith:GCGKT2DI

pith:2026:GCGKT2DIISBOYEYBBMSLX5DTWO

not attested not anchored not stored refs pending

Hidden APIs in Language Models: Discovering Reusable Causal Interfaces from Forked Futures

Albert Gao, Canran Xiao, Jinfeng Wei, Qiwei Wu, Qixin Zhang, Siyuan Ma, Wei-Hsing Huang, Wei Wang, Xinran Li, Yiqin Luo, Zhangji

arxiv:2607.27617 v1 · 2026-07-30 · cs.AI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCGKT2DIISBOYEYBBMSLX5DTWO}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-31T01:27:42.064275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

308ca9e8684482ec13010b24bbf473b39a78e84baec61a7979c6d4790010ac69

Aliases

arxiv: 2607.27617 · arxiv_version: 2607.27617v1 · doi: 10.48550/arxiv.2607.27617 · pith_short_12: GCGKT2DIISBO · pith_short_16: GCGKT2DIISBOYEYB · pith_short_8: GCGKT2DI

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GCGKT2DIISBOYEYBBMSLX5DTWO \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 308ca9e8684482ec13010b24bbf473b39a78e84baec61a7979c6d4790010ac69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f383a08af2b45135904bcad2fd5ff17c526ad32447a54cc4030ef9283e67225",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-07-30T03:10:24Z",
    "title_canon_sha256": "d3ef64958902909bf9ad1b2fb10418348b74f382b30b5d84f4f54d1b30d5998f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27617",
    "kind": "arxiv",
    "version": 1
  }
}