Pith Number

pith:JB2GGFTN

pith:2012:JB2GGFTNFGYWMK6KBAG3BRCGM4

not attested not anchored not stored refs pending

Vertex decomposable graphs, codismantlability, Cohen-Macaulayness and Castelnuovo-Mumford regularity

Turker Biyikoglu, Yusuf Civan

arxiv:1205.5631 v2 · 2012-05-25 · math.CO · math.AC · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JB2GGFTNFGYWMK6KBAG3BRCGM4}

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	2026-05-18T03:01:36.076082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

487463166d29b1662bca080db0c4466721b91738a39ea1867348a9c92fd16e09

Aliases

arxiv: 1205.5631 · arxiv_version: 1205.5631v2 · doi: 10.48550/arxiv.1205.5631 · pith_short_12: JB2GGFTNFGYW · pith_short_16: JB2GGFTNFGYWMK6K · pith_short_8: JB2GGFTN

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/JB2GGFTNFGYWMK6KBAG3BRCGM4 \
  | 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: 487463166d29b1662bca080db0c4466721b91738a39ea1867348a9c92fd16e09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "968a9ad9325ac254d4196443c2f52089138dd85eb9823c219bc138e709a2fa40",
    "cross_cats_sorted": [
      "math.AC",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-25T08:20:31Z",
    "title_canon_sha256": "750d80a14a95b8a93e277a3e5ec19745667a5c82e2c96bec0c89a9cd79a9a3fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5631",
    "kind": "arxiv",
    "version": 2
  }
}