Pith Number

pith:ZNS23CT3

pith:2009:ZNS23CT3A4SPDWTYCOYUDU2F7Z

not attested not anchored not stored refs pending

Colorings of hypergraphs, perfect graphs, and associated primes of powers of monomial ideals

Adam Van Tuyl, Christopher A. Francisco, Huy Tai Ha

arxiv:0908.1505 v2 · 2009-08-11 · 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{ZNS23CT3A4SPDWTYCOYUDU2F7Z}

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	2026-05-18T04:37:22.296693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb65ad8a7b0724f1da7813b141d345fe430c9fb040bb3e9d6e0b962d4e5fca2d

Aliases

arxiv: 0908.1505 · arxiv_version: 0908.1505v2 · doi: 10.48550/arxiv.0908.1505 · pith_short_12: ZNS23CT3A4SP · pith_short_16: ZNS23CT3A4SPDWTY · pith_short_8: ZNS23CT3

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/ZNS23CT3A4SPDWTYCOYUDU2F7Z \
  | 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: cb65ad8a7b0724f1da7813b141d345fe430c9fb040bb3e9d6e0b962d4e5fca2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf97e5a8922e733dab54c64495564cdf54cf4fb1cde89691b24ff1fdfee0b13f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2009-08-11T14:07:06Z",
    "title_canon_sha256": "bb149ea88424370323e87c6916c69417ff708191f21c1dfd5ffa062eb3664331"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1505",
    "kind": "arxiv",
    "version": 2
  }
}