Pith Number

pith:6TFBTIQ6

pith:2017:6TFBTIQ6UAMKDBKWBL63P65M2O

not attested not anchored not stored refs pending

Plane graphs without 4- and 5-cycles and without ext-triangular 7-cycles are 3-colorable

Ligang Jin, Michael Schubert, Yingli Kang, Yingqian Wang

arxiv:1702.07558 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{6TFBTIQ6UAMKDBKWBL63P65M2O}

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	2026-05-18T00:50:02.918709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4ca19a21ea018a185560afdb7fbacd383fedaa3b13c2f6ca1e6d282e40b47dd

Aliases

arxiv: 1702.07558 · arxiv_version: 1702.07558v1 · doi: 10.48550/arxiv.1702.07558 · pith_short_12: 6TFBTIQ6UAMK · pith_short_16: 6TFBTIQ6UAMKDBKW · pith_short_8: 6TFBTIQ6

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/6TFBTIQ6UAMKDBKWBL63P65M2O \
  | 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: f4ca19a21ea018a185560afdb7fbacd383fedaa3b13c2f6ca1e6d282e40b47dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf9163233dc6859fb2196da3198e17baac791817ddf54d1c95e16c5d7d752866",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-24T12:38:46Z",
    "title_canon_sha256": "8d50d6b52fa6b63923598ca959d21b85bca36b0a9c0172e50e55c65c436a7901"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.07558",
    "kind": "arxiv",
    "version": 1
  }
}