Pith Number

pith:EIJLSRQP

pith:2013:EIJLSRQPZ3D7KFWBNMGR45XKYS

not attested not anchored not stored refs pending

Cycle-maximal triangle-free graphs

David S. Gunderson, Matthew Skala, Pak Ching Li, Stephane Durocher

arxiv:1310.5172 v2 · 2013-10-18 · 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{EIJLSRQPZ3D7KFWBNMGR45XKYS}

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	2026-05-18T02:39:09.031698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2212b9460fcec7f516c16b0d1e76eac4b8db336f24fa12b07325376d8e1613ca

Aliases

arxiv: 1310.5172 · arxiv_version: 1310.5172v2 · doi: 10.48550/arxiv.1310.5172 · pith_short_12: EIJLSRQPZ3D7 · pith_short_16: EIJLSRQPZ3D7KFWB · pith_short_8: EIJLSRQP

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/EIJLSRQPZ3D7KFWBNMGR45XKYS \
  | 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: 2212b9460fcec7f516c16b0d1e76eac4b8db336f24fa12b07325376d8e1613ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be032426caa8bc577bea28ceadb54cd97e432dfc3637565f7b922095a97b9612",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-18T21:56:36Z",
    "title_canon_sha256": "4b3c376afaeb10b4e48fdca9b53c4beefa908d88054dc383a0f91642093f711e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5172",
    "kind": "arxiv",
    "version": 2
  }
}