Pith Number

pith:5ISM7VCF

pith:2012:5ISM7VCFSR43HOAAIDAFIWTIV3

not attested not anchored not stored refs pending

2-Colored Matchings in a 3-Colored K^{3}_{12}

Ago Riet, Daniel Gerbner, Diana Piguet, Dominik Vu, Lindsay Erickson, Neal Bushaw, Peter Csorba, Tamas Terpai

arxiv:1209.2033 v2 · 2012-09-10 · 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{5ISM7VCFSR43HOAAIDAFIWTIV3}

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	2026-05-18T03:45:41.252518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea24cfd4459479b3b80040c0545a68aec3821e3e5059ec0b0e66bc77b78cf79c

Aliases

arxiv: 1209.2033 · arxiv_version: 1209.2033v2 · doi: 10.48550/arxiv.1209.2033 · pith_short_12: 5ISM7VCFSR43 · pith_short_16: 5ISM7VCFSR43HOAA · pith_short_8: 5ISM7VCF

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/5ISM7VCFSR43HOAAIDAFIWTIV3 \
  | 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: ea24cfd4459479b3b80040c0545a68aec3821e3e5059ec0b0e66bc77b78cf79c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e0a8ded453bd5e7e0e4241cc681053e98e68a699eabc28f057bc42ebc99e04d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-10T15:35:06Z",
    "title_canon_sha256": "3bb43fd2d4ef59ae5c14c5472498bb24f38797a8405c60318586b0ced6b657a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2033",
    "kind": "arxiv",
    "version": 2
  }
}