Pith Number

pith:IVEYMR4Z

pith:2014:IVEYMR4ZZEU2CUHDVGLDLOZTI4

not attested not anchored not stored refs pending

Planar graphs without 5-cycles and intersecting triangles are $(1,1,0)$-colorable

Gexin Yu, Runrun Liu, Xiangwen Li

arxiv:1409.4054 v2 · 2014-09-14 · 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{IVEYMR4ZZEU2CUHDVGLDLOZTI4}

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	2026-05-18T02:41:52.858132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4549864799c929a150e3a99635bb33473cc1da181ec72dea0834fa20c7cb1243

Aliases

arxiv: 1409.4054 · arxiv_version: 1409.4054v2 · doi: 10.48550/arxiv.1409.4054 · pith_short_12: IVEYMR4ZZEU2 · pith_short_16: IVEYMR4ZZEU2CUHD · pith_short_8: IVEYMR4Z

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/IVEYMR4ZZEU2CUHDVGLDLOZTI4 \
  | 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: 4549864799c929a150e3a99635bb33473cc1da181ec72dea0834fa20c7cb1243

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddee20785a9a43877419b5115ab5a3f2bc1ee0713c9458b5029526d6a9df7055",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-14T13:34:09Z",
    "title_canon_sha256": "07bfbd3d74e9ebb64cfd53fb2e08abf8616319cdada12e6e4bc481d7c4c66a45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4054",
    "kind": "arxiv",
    "version": 2
  }
}