Pith Number

pith:BJWCXAQK

pith:2025:BJWCXAQKVEAH3RGKLWK3TEDVFQ

not attested not anchored not stored refs pending

Cooperative Causal GraphSAGE

Huaixin Liang, Le Gao, Tao Zhang, Tuo Xu, Zaifa Xue

arxiv:2505.14748 v1 · 2025-05-20 · cs.LG · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BJWCXAQKVEAH3RGKLWK3TEDVFQ}

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	2026-07-05T11:06:34.808056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a6c2b820aa9007dc4ca5d95b990752c26193412fc3d7e3fa5d3822d9475f64e

Aliases

arxiv: 2505.14748 · arxiv_version: 2505.14748v1 · doi: 10.48550/arxiv.2505.14748 · pith_short_12: BJWCXAQKVEAH · pith_short_16: BJWCXAQKVEAH3RGK · pith_short_8: BJWCXAQK

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/BJWCXAQKVEAH3RGKLWK3TEDVFQ \
  | 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: 0a6c2b820aa9007dc4ca5d95b990752c26193412fc3d7e3fa5d3822d9475f64e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81b55bf7aac940362426cab4483d220fd3e55a58ef13054dc6c1e7486546dbff",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-05-20T09:12:31Z",
    "title_canon_sha256": "ced8ebfbd61f183477dc9fcdc573f8357d362a217a49a24a182b549101270538"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.14748",
    "kind": "arxiv",
    "version": 1
  }
}