Pith Number

pith:JWUAUD4S

pith:2013:JWUAUD4SV6OC4WPY5DQKMMOMRG

not attested not anchored not stored refs pending

Complements of nearly perfect graphs

Andr\'as Gy\'arf\'as, Andr\'as Sebo, Nicolas Trotignon, Raphael Machado, St\'ephan Thomass\'e, Zhentao Li

arxiv:1304.2862 v1 · 2013-04-10 · 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{JWUAUD4SV6OC4WPY5DQKMMOMRG}

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	2026-05-18T03:13:58.010774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4da80a0f92af9c2e59f8e8e0a631cc899609e961627d54247ec8cb118772ad44

Aliases

arxiv: 1304.2862 · arxiv_version: 1304.2862v1 · doi: 10.48550/arxiv.1304.2862 · pith_short_12: JWUAUD4SV6OC · pith_short_16: JWUAUD4SV6OC4WPY · pith_short_8: JWUAUD4S

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/JWUAUD4SV6OC4WPY5DQKMMOMRG \
  | 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: 4da80a0f92af9c2e59f8e8e0a631cc899609e961627d54247ec8cb118772ad44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6a988b702d44efe5c2955c28fd85020a55de51deecd57d8a2efd5fdd958bbdb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-10T07:28:56Z",
    "title_canon_sha256": "7fb38815758cbd4fe49ec2199f66b022e4890ff67fc922c88b52289b9f886df2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2862",
    "kind": "arxiv",
    "version": 1
  }
}