Pith Number

pith:7IXJ65ET

pith:2015:7IXJ65ETUU6WWE3KOCZGANIVZA

not attested not anchored not stored refs pending

Obstructions for three-coloring graphs without induced paths on six vertices

Jan Goedgebeur, Maria Chudnovsky, Mingxian Zhong, Oliver Schaudt

arxiv:1504.06979 v2 · 2015-04-27 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7IXJ65ETUU6WWE3KOCZGANIVZA}

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	2026-05-18T00:23:09.742039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa2e9f7493a53d6b136a70b2603515c83f252a142d337d4cc24fce932aa3efed

Aliases

arxiv: 1504.06979 · arxiv_version: 1504.06979v2 · doi: 10.48550/arxiv.1504.06979 · pith_short_12: 7IXJ65ETUU6W · pith_short_16: 7IXJ65ETUU6WWE3K · pith_short_8: 7IXJ65ET

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/7IXJ65ETUU6WWE3KOCZGANIVZA \
  | 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: fa2e9f7493a53d6b136a70b2603515c83f252a142d337d4cc24fce932aa3efed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1aaef7728b4d46507eaed2bce861a53f8aad74973f3c1412ab60f6ec6e87fa45",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-27T09:08:24Z",
    "title_canon_sha256": "4d67a82d1dc81e5893a2f7f4aa3c288988a9e4b7ed2edd3a8e0260114e46e2e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06979",
    "kind": "arxiv",
    "version": 2
  }
}