Pith Number

pith:2HX2F5B3

pith:2013:2HX2F5B3OZQDCQ2IY5ZGGTPPBB

not attested not anchored not stored refs pending

Complexity of Coloring Graphs without Paths and Cycles

Pavol Hell, Shenwei Huang

arxiv:1310.0340 v1 · 2013-09-28 · cs.DM · 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{2HX2F5B3OZQDCQ2IY5ZGGTPPBB}

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	2026-05-18T03:11:36.549552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1efa2f43b7660314348c772634def086511b83bacc089945006ca5958f1c257

Aliases

arxiv: 1310.0340 · arxiv_version: 1310.0340v1 · doi: 10.48550/arxiv.1310.0340 · pith_short_12: 2HX2F5B3OZQD · pith_short_16: 2HX2F5B3OZQDCQ2I · pith_short_8: 2HX2F5B3

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/2HX2F5B3OZQDCQ2IY5ZGGTPPBB \
  | 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: d1efa2f43b7660314348c772634def086511b83bacc089945006ca5958f1c257

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ec9e1b30b58a1a7cc12df07e0b77037580264eac40ff0ad64cb53397e94adab",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-09-28T19:34:49Z",
    "title_canon_sha256": "25055dc75c35198bc4f65395c60e50c5b88597a178cf2d12e63679499c39996f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0340",
    "kind": "arxiv",
    "version": 1
  }
}