Pith Number

pith:XP73BQIG

pith:2013:XP73BQIGFRLYBR23VLCRBSJRRF

not attested not anchored not stored refs pending

Coloring 2-intersecting hypergraphs

Andr\'as Gy\'arf\'as, Lucas Colucci

arxiv:1307.6944 v1 · 2013-07-26 · 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{XP73BQIGFRLYBR23VLCRBSJRRF}

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	2026-07-05T01:09:26.149651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbffb0c1062c5780c75baac510c931896b06f6cc264512eaed351eaee3f44f0d

Aliases

arxiv: 1307.6944 · arxiv_version: 1307.6944v1 · doi: 10.48550/arxiv.1307.6944 · pith_short_12: XP73BQIGFRLY · pith_short_16: XP73BQIGFRLYBR23 · pith_short_8: XP73BQIG

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/XP73BQIGFRLYBR23VLCRBSJRRF \
  | 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: bbffb0c1062c5780c75baac510c931896b06f6cc264512eaed351eaee3f44f0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e48260311abf6c2c177dd8b114a5a9ae622953c3c417a2aedc8852dd100e8770",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-26T07:38:41Z",
    "title_canon_sha256": "f84dbd08367162d2c7c070c7599e2f7c400b213aeeab7cbb6ead1c72f4faf6b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6944",
    "kind": "arxiv",
    "version": 1
  }
}