Pith Number

pith:7PQGLFSZ

pith:2010:7PQGLFSZZ4WI3TMENBLQYC5VS5

not attested not anchored not stored refs pending

What majority decisions are possible with possible abstaining

Nick Matteo, Paul Larson, Saharon Shelah

arxiv:1003.2756 v1 · 2010-03-14 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7PQGLFSZZ4WI3TMENBLQYC5VS5}

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	2026-05-18T02:56:52.353510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbe0659659cf2c8dcd8468570c0bb5975794c8a9746de8a6ed43afbfd7c9b9f8

Aliases

arxiv: 1003.2756 · arxiv_version: 1003.2756v1 · doi: 10.48550/arxiv.1003.2756 · pith_short_12: 7PQGLFSZZ4WI · pith_short_16: 7PQGLFSZZ4WI3TME · pith_short_8: 7PQGLFSZ

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/7PQGLFSZZ4WI3TMENBLQYC5VS5 \
  | 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: fbe0659659cf2c8dcd8468570c0bb5975794c8a9746de8a6ed43afbfd7c9b9f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ab99b4e3fa32f81c6cb0066d4c8318a189ec49973f76166d3c5a4291d3d7a97",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-03-14T04:36:07Z",
    "title_canon_sha256": "ac17c57346935bb13fd6fad226b2a872025603b9c5a7384ab8502120ac2a07f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.2756",
    "kind": "arxiv",
    "version": 1
  }
}