Pith Number

pith:MQ4FESAL

pith:2012:MQ4FESALU5T3XEJLXDHCEAIAD4

not attested not anchored not stored refs pending

Toric algebra of hypergraphs

Despina Stasi, Sonja Petrovi\'c

arxiv:1206.1904 v3 · 2012-06-09 · math.AC · math.CO · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MQ4FESALU5T3XEJLXDHCEAIAD4}

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	2026-05-18T03:27:32.850196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

643852480ba767bb912bb8ce2201001f1ec574b4004d6eaf123e43ede626ab8c

Aliases

arxiv: 1206.1904 · arxiv_version: 1206.1904v3 · doi: 10.48550/arxiv.1206.1904 · pith_short_12: MQ4FESALU5T3 · pith_short_16: MQ4FESALU5T3XEJL · pith_short_8: MQ4FESAL

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/MQ4FESALU5T3XEJLXDHCEAIAD4 \
  | 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: 643852480ba767bb912bb8ce2201001f1ec574b4004d6eaf123e43ede626ab8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "182d75cb78e1eb628cf8a1131e12a8405bfab63246f4ddd9a881c5e09f60f483",
    "cross_cats_sorted": [
      "math.CO",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-06-09T04:15:16Z",
    "title_canon_sha256": "b97ef20fdb2a3d903c70206985205bee34a367e64d4ad66ba712b55aee906a2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1904",
    "kind": "arxiv",
    "version": 3
  }
}