Pith Number

pith:ICZPE5I6

pith:2009:ICZPE5I6F2JQECKISFOF7KDKXV

not attested not anchored not stored refs pending

Weighted-Set Graph Colorings

Robert Shrock, Yan Xu

arxiv:0911.4218 v1 · 2009-11-22 · math-ph · cond-mat.stat-mech · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ICZPE5I6F2JQECKISFOF7KDKXV}

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	2026-05-18T04:15:17.086978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40b2f2751e2e93020948915c5fa86abd6926b5729736e77e6c9720080f38e01f

Aliases

arxiv: 0911.4218 · arxiv_version: 0911.4218v1 · doi: 10.48550/arxiv.0911.4218 · pith_short_12: ICZPE5I6F2JQ · pith_short_16: ICZPE5I6F2JQECKI · pith_short_8: ICZPE5I6

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/ICZPE5I6F2JQECKISFOF7KDKXV \
  | 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: 40b2f2751e2e93020948915c5fa86abd6926b5729736e77e6c9720080f38e01f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b6d4bb42d997cc428a1819915093e21aeff3c7dcbff228320d7862b771fcf6a",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-11-22T02:23:25Z",
    "title_canon_sha256": "3368359528b00ae7e1db13dd92f807c77f16ccfe4376625571954573a502b385"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4218",
    "kind": "arxiv",
    "version": 1
  }
}