Pith Number

pith:3QHYJ3JW

pith:2013:3QHYJ3JW2VG5YOVLXY63XYNHEX

not attested not anchored not stored refs pending

A new construction for Cohen-Macaulay graphs

Amir Mousivand, Seyed Amin Seyed Fakhari, Siamak Yassemi

arxiv:1310.2872 v1 · 2013-10-10 · 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{3QHYJ3JW2VG5YOVLXY63XYNHEX}

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	2026-05-18T03:10:45.454803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc0f84ed36d54ddc3aabbe3dbbe1a725e78250a7dc5f604876f07d79765a4356

Aliases

arxiv: 1310.2872 · arxiv_version: 1310.2872v1 · doi: 10.48550/arxiv.1310.2872 · pith_short_12: 3QHYJ3JW2VG5 · pith_short_16: 3QHYJ3JW2VG5YOVL · pith_short_8: 3QHYJ3JW

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/3QHYJ3JW2VG5YOVLXY63XYNHEX \
  | 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: dc0f84ed36d54ddc3aabbe3dbbe1a725e78250a7dc5f604876f07d79765a4356

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90b4a8731a4b0e8fb5d1e73d3449da96d6ef87e4bf57d529057b0b80d0981316",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-10-10T16:20:47Z",
    "title_canon_sha256": "a9fd8c97e0fa8a612693697d7ed75fb1cbfb6abfb94c3d70f64f362e2ff3048a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2872",
    "kind": "arxiv",
    "version": 1
  }
}