Pith Number

pith:VC6KCI4W

pith:2024:VC6KCI4W2MX5C3UXYE4FLDG6YQ

not attested not anchored not stored refs pending

Understanding Individual Agent Importance in Multi-Agent System via Counterfactual Reasoning

Fanjiang Xu, Jianming Chen, Jun Hu, Junjie Wang, Qing Wang, Xiaofei Xie, Yawen Wang

arxiv:2412.15619 v2 · 2024-12-20 · cs.AI · cs.MA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VC6KCI4W2MX5C3UXYE4FLDG6YQ}

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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.

Cited by

1 paper in Pith

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Receipt and verification

First computed	2026-07-05T11:38:25.975322Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8bca12396d32fd16e97c138558cdec4141b2cd09473fba80bee0cce8131be12

Aliases

arxiv: 2412.15619 · arxiv_version: 2412.15619v2 · doi: 10.48550/arxiv.2412.15619 · pith_short_12: VC6KCI4W2MX5 · pith_short_16: VC6KCI4W2MX5C3UX · pith_short_8: VC6KCI4W

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/VC6KCI4W2MX5C3UXYE4FLDG6YQ \
  | 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: a8bca12396d32fd16e97c138558cdec4141b2cd09473fba80bee0cce8131be12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7530d70b9a8c2d95309efdd649f5149ff5630384e54a76ab4bb7ae828d3ba50",
    "cross_cats_sorted": [
      "cs.MA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2024-12-20T07:24:43Z",
    "title_canon_sha256": "6788ecbf5208ec1993f7a7373d44a9af1096b6cb9ee69f9fe80fd859bae6a2eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.15619",
    "kind": "arxiv",
    "version": 2
  }
}