Pith Number

pith:W5VG2R6I

pith:2017:W5VG2R6IMGWE2BPKM543PEX3PF

not attested not anchored not stored refs pending

Obstructions for three-coloring and list three-coloring $H$-free graphs

Jan Goedgebeur, Maria Chudnovsky, Mingxian Zhong, Oliver Schaudt

arxiv:1703.05684 v4 · 2017-03-16 · 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{W5VG2R6IMGWE2BPKM543PEX3PF}

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	2026-05-18T00:24:10.327524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b76a6d47c861ac4d05ea6779b792fb797fded88848e10c7b71b47ae98668d43d

Aliases

arxiv: 1703.05684 · arxiv_version: 1703.05684v4 · doi: 10.48550/arxiv.1703.05684 · pith_short_12: W5VG2R6IMGWE · pith_short_16: W5VG2R6IMGWE2BPK · pith_short_8: W5VG2R6I

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/W5VG2R6IMGWE2BPKM543PEX3PF \
  | 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: b76a6d47c861ac4d05ea6779b792fb797fded88848e10c7b71b47ae98668d43d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97b769fd27f4bdeea925c94e0b0ac3c36347f955af84155794ba4db7bcb2c4e8",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-03-16T15:57:37Z",
    "title_canon_sha256": "60cc1416d8eb9af4b4e17973104aac697c770b5079742cdc725e33c6d3ca8bba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.05684",
    "kind": "arxiv",
    "version": 4
  }
}