Pith Number

pith:XR6BWATV

pith:2013:XR6BWATVHT6XNEMMQLYGTDADI2

not attested not anchored not stored refs pending

Triply Existentially Complete Triangle-Free Graphs

Chaim Even-Zohar, Nati Linial

arxiv:1306.5637 v2 · 2013-06-24 · 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{XR6BWATVHT6XNEMMQLYGTDADI2}

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	2026-05-18T01:35:28.332501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc7c1b02753cfd76918c82f0698c0346ad4b622b6e8541d12434c36a06fed116

Aliases

arxiv: 1306.5637 · arxiv_version: 1306.5637v2 · doi: 10.48550/arxiv.1306.5637 · pith_short_12: XR6BWATVHT6X · pith_short_16: XR6BWATVHT6XNEMM · pith_short_8: XR6BWATV

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/XR6BWATVHT6XNEMMQLYGTDADI2 \
  | 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: bc7c1b02753cfd76918c82f0698c0346ad4b622b6e8541d12434c36a06fed116

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "789ef003c67bd65541007a28e942d300cb2bc9ecd0431e50272829ed6ec88d52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-24T14:15:06Z",
    "title_canon_sha256": "beab4cdb638040893eec0fa72fd3aedbbe2bfa33d25ca8525b8f77afd4b8987d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5637",
    "kind": "arxiv",
    "version": 2
  }
}