Pith Number

pith:D4EI2QRQ

pith:2012:D4EI2QRQAF5XBPZHVHPZHF6AHE

not attested not anchored not stored refs pending

Characterizing partition functions of the edge-coloring model by rank growth

Alexander Schrijver

arxiv:1211.3561 v2 · 2012-11-15 · math.CO · math-ph · 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{D4EI2QRQAF5XBPZHVHPZHF6AHE}

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	2026-05-18T01:39:55.478621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f088d4230017b70bf27a9df9397c0390305fa5912a7cd40fab083295b3faf65

Aliases

arxiv: 1211.3561 · arxiv_version: 1211.3561v2 · doi: 10.48550/arxiv.1211.3561 · pith_short_12: D4EI2QRQAF5X · pith_short_16: D4EI2QRQAF5XBPZH · pith_short_8: D4EI2QRQ

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/D4EI2QRQAF5XBPZHVHPZHF6AHE \
  | 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: 1f088d4230017b70bf27a9df9397c0390305fa5912a7cd40fab083295b3faf65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7ec8a75672456568b462921368dce06993c1d61d8b99d5f35f815b0bd18dd37",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-15T10:23:50Z",
    "title_canon_sha256": "17e0950bea9d26ae310e8adf38d746147bf03c583cd408285156e73c7c23feb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3561",
    "kind": "arxiv",
    "version": 2
  }
}