Pith Number

pith:Z72TPDCO

pith:2015:Z72TPDCOW3RNBHAC2ZJG6EW5AM

not attested not anchored not stored refs pending

A characterization of b-chromatic and partial Grundy numbers by induced subgraphs

Brice Effantin (GOAL), Nicolas Gastineau (Le2i), Olivier Togni (Le2i)

arxiv:1505.07780 v2 · 2015-05-28 · 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{Z72TPDCOW3RNBHAC2ZJG6EW5AM}

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	2026-05-18T01:16:02.794132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cff5378c4eb6e2d09c02d6526f12dd031a91ad2d29b6e7f689572f009ff98809

Aliases

arxiv: 1505.07780 · arxiv_version: 1505.07780v2 · doi: 10.48550/arxiv.1505.07780 · pith_short_12: Z72TPDCOW3RN · pith_short_16: Z72TPDCOW3RNBHAC · pith_short_8: Z72TPDCO

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/Z72TPDCOW3RNBHAC2ZJG6EW5AM \
  | 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: cff5378c4eb6e2d09c02d6526f12dd031a91ad2d29b6e7f689572f009ff98809

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28267d7015f0ffdd71d0b049c8a8703629fd41bcb946d2cd348b88bb8f2003c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2015-05-28T18:05:28Z",
    "title_canon_sha256": "a85c07a7393977f6d66c8723615e6a981ff35f5c815a72f36cb1787afbeeaaa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07780",
    "kind": "arxiv",
    "version": 2
  }
}