Pith Number

pith:4OGH5LXN

pith:2017:4OGH5LXNGD7WEHW5A2XTBGPV54

not attested not anchored not stored refs pending

Remarks on planar edge-chromatic critical graphs

Eckhard Steffen, Ligang Jin, Yingli Kang

arxiv:1702.07559 v1 · 2017-02-24 · 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{4OGH5LXNGD7WEHW5A2XTBGPV54}

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	2026-05-18T00:50:02.910952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e38c7eaeed30ff621edd06af3099f5ef2bf04ec91f75936496b400b0813b5c02

Aliases

arxiv: 1702.07559 · arxiv_version: 1702.07559v1 · doi: 10.48550/arxiv.1702.07559 · pith_short_12: 4OGH5LXNGD7W · pith_short_16: 4OGH5LXNGD7WEHW5 · pith_short_8: 4OGH5LXN

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/4OGH5LXNGD7WEHW5A2XTBGPV54 \
  | 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: e38c7eaeed30ff621edd06af3099f5ef2bf04ec91f75936496b400b0813b5c02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cce20335d3ee53a00e4e65d0e41046f07bfcdb19b79167c81445eab851c54302",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-24T12:46:34Z",
    "title_canon_sha256": "d5c933af1348968bb00653a2a1c59c4a1581e927ce1651f8332c8280b5223cce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.07559",
    "kind": "arxiv",
    "version": 1
  }
}