Pith Number

pith:CP2KXFSH

pith:2018:CP2KXFSH5WZSMBXXLP4CO35PHB

not attested not anchored not stored refs pending

Certain Classes of Cohen-Macaulay Multipartite Graphs

Ajay Kumar, Rajiv Kumar

arxiv:1803.07880 v1 · 2018-03-21 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CP2KXFSH5WZSMBXXLP4CO35PHB}

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	2026-05-18T00:20:28.655565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13f4ab9647edb32606f75bf8276faf385d0d24ed46705cf9a95de3d3bf2eb751

Aliases

arxiv: 1803.07880 · arxiv_version: 1803.07880v1 · doi: 10.48550/arxiv.1803.07880 · pith_short_12: CP2KXFSH5WZS · pith_short_16: CP2KXFSH5WZSMBXX · pith_short_8: CP2KXFSH

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/CP2KXFSH5WZSMBXXLP4CO35PHB \
  | 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: 13f4ab9647edb32606f75bf8276faf385d0d24ed46705cf9a95de3d3bf2eb751

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52b5ac5afa5a1ab302e98266c5ccb6afb7ec91c42963420d6b4e481f21b2814c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-03-21T12:21:16Z",
    "title_canon_sha256": "0c8593f702e568ca3fcb66c3259652f1b022a3ea46750d4c9737d43803782765"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.07880",
    "kind": "arxiv",
    "version": 1
  }
}