Pith Number

pith:UJB3J6WM

pith:2012:UJB3J6WM4KQNJ2LJTL7YJGZ7UH

not attested not anchored not stored refs pending

Extremal Graphs Without 4-Cycles

Evan D. Nash, Frank A. Firke, Jason Williford, Peter M. Kosek

arxiv:1201.4912 v1 · 2012-01-24 · 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{UJB3J6WM4KQNJ2LJTL7YJGZ7UH}

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	2026-05-18T04:04:04.819128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a243b4facce2a0d4e9699aff849b3fa1eabfa45c8f4874d1a2940cbf04400b81

Aliases

arxiv: 1201.4912 · arxiv_version: 1201.4912v1 · doi: 10.48550/arxiv.1201.4912 · pith_short_12: UJB3J6WM4KQN · pith_short_16: UJB3J6WM4KQNJ2LJ · pith_short_8: UJB3J6WM

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/UJB3J6WM4KQNJ2LJTL7YJGZ7UH \
  | 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: a243b4facce2a0d4e9699aff849b3fa1eabfa45c8f4874d1a2940cbf04400b81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "227da068eec3b1dca1c0d2c87a4dd9fee5df711c87e713c96f32ff25cd3529de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-01-24T04:10:51Z",
    "title_canon_sha256": "007f1678632c343545e46b7ff72c1a3205a8c1425a9149c597b288c06b0a122d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4912",
    "kind": "arxiv",
    "version": 1
  }
}