Pith Number

pith:YLNNTY7T

pith:2013:YLNNTY7TW24OF7RPJC4VWZRSFS

not attested not anchored not stored refs pending

An algorithm for computing the universal Gr\"obner Basis of graph ideals

Christos Tatakis, Yannis C. Stamatiou

arxiv:1307.7224 v3 · 2013-07-27 · math.AC · 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{YLNNTY7TW24OF7RPJC4VWZRSFS}

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	2026-05-17T23:48:07.158185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2dad9e3f3b6b8e2fe2f48b95b66322c8912aafed820d36c65147a49431e8949

Aliases

arxiv: 1307.7224 · arxiv_version: 1307.7224v3 · doi: 10.48550/arxiv.1307.7224 · pith_short_12: YLNNTY7TW24O · pith_short_16: YLNNTY7TW24OF7RP · pith_short_8: YLNNTY7T

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/YLNNTY7TW24OF7RPJC4VWZRSFS \
  | 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: c2dad9e3f3b6b8e2fe2f48b95b66322c8912aafed820d36c65147a49431e8949

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6405360e61a993a66f427896d23355330af805f21405030456fa5c4da0c4a1e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-07-27T07:30:26Z",
    "title_canon_sha256": "16018f081845a1cef248659d722c14f77380fe1bc9954b951fa423e404dcb161"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7224",
    "kind": "arxiv",
    "version": 3
  }
}