Pith Number

pith:573NB5HQ

pith:2016:573NB5HQDGGCCAH6BEUZC6VUVE

not attested not anchored not stored refs pending

Properties of Catlin's reduced graphs and supereulerian graphs

Mei Lu, Wei-Guo Chen, Zhi-Hong Chen

arxiv:1601.01365 v1 · 2016-01-07 · 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{573NB5HQDGGCCAH6BEUZC6VUVE}

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	2026-05-18T01:23:15.626674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eff6d0f4f0198c2100fe0929917ab4a934cfa091f667978be6d6d6354212dd7d

Aliases

arxiv: 1601.01365 · arxiv_version: 1601.01365v1 · doi: 10.48550/arxiv.1601.01365 · pith_short_12: 573NB5HQDGGC · pith_short_16: 573NB5HQDGGCCAH6 · pith_short_8: 573NB5HQ

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/573NB5HQDGGCCAH6BEUZC6VUVE \
  | 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: eff6d0f4f0198c2100fe0929917ab4a934cfa091f667978be6d6d6354212dd7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "235e25fe1a2c9f9d5af8b33466865e4dcc0fd68dc494ac1ed2ecd8f7304df46a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-07T01:27:39Z",
    "title_canon_sha256": "54ed54bd5de982a7c3caea189689eb0c97cb8b85a7bc91ce3dae62307dbde693"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01365",
    "kind": "arxiv",
    "version": 1
  }
}