Pith Number

pith:ZUP74NCB

pith:2016:ZUP74NCBWIFQH3B3KIEWBTTHAU

not attested not anchored not stored refs pending

Cohen-Macaulayness of triangular graphs

Daniel Duarte, Hernan de Alba, Luis Manuel Rivera, Walter Carballosa

arxiv:1601.05016 v1 · 2016-01-19 · 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{ZUP74NCBWIFQH3B3KIEWBTTHAU}

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	2026-05-18T01:22:31.387057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd1ffe3441b20b03ec3b520960ce67053f6c2897ceaad83243dd7bdbe475a811

Aliases

arxiv: 1601.05016 · arxiv_version: 1601.05016v1 · doi: 10.48550/arxiv.1601.05016 · pith_short_12: ZUP74NCBWIFQ · pith_short_16: ZUP74NCBWIFQH3B3 · pith_short_8: ZUP74NCB

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/ZUP74NCBWIFQH3B3KIEWBTTHAU \
  | 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: cd1ffe3441b20b03ec3b520960ce67053f6c2897ceaad83243dd7bdbe475a811

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cbfc871027f5845eaa5ca06df3f2ca968fdcf18e1a02e615c6f7d96236ced98",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-01-19T17:44:38Z",
    "title_canon_sha256": "2e5647332c37c803aa45623297c945d44f9445c02a63d91c019ffdb2d7f3507c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05016",
    "kind": "arxiv",
    "version": 1
  }
}