Pith Number

pith:7CT3PQS3

pith:2008:7CT3PQS3KT4QM6D7CX66VIJQ7Z

not attested not anchored not stored refs pending

Gorenstein polytopes obtained from bipartite graphs

Makoto Tagami

arxiv:0803.1033 v2 · 2008-03-07 · 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{7CT3PQS3KT4QM6D7CX66VIJQ7Z}

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	2026-07-04T15:10:07.489687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8a7b7c25b54f906787f15fdeaa130fe6d03ae80105b0af8589f929e3e5744cd

Aliases

arxiv: 0803.1033 · arxiv_version: 0803.1033v2 · doi: 10.48550/arxiv.0803.1033 · pith_short_12: 7CT3PQS3KT4Q · pith_short_16: 7CT3PQS3KT4QM6D7 · pith_short_8: 7CT3PQS3

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/7CT3PQS3KT4QM6D7CX66VIJQ7Z \
  | 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: f8a7b7c25b54f906787f15fdeaa130fe6d03ae80105b0af8589f929e3e5744cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea10e7ee72ba05ccc3c86610b707d4944dc263acd37b589bdd819bcbf25743e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-03-07T08:12:23Z",
    "title_canon_sha256": "ba20dcf996981a65d884977822ee93060927657c6e2daeebd398faa424716640"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.1033",
    "kind": "arxiv",
    "version": 2
  }
}