Pith Number

pith:MISRNCPH

pith:2018:MISRNCPHJBKYIH5HXINY3DLKPI

not attested not anchored not stored refs pending

A Complexity Dichotomy for Critical Values of the b-Chromatic Number of Graphs

Lars Jaffke, Paloma T. Lima

arxiv:1811.03966 v2 · 2018-11-09 · cs.DS · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MISRNCPHJBKYIH5HXINY3DLKPI}

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	2026-05-17T23:54:22.100988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62251689e74855841fa7ba1b8d8d6a7a3887a6671b7c560bef8881d554bc3bef

Aliases

arxiv: 1811.03966 · arxiv_version: 1811.03966v2 · doi: 10.48550/arxiv.1811.03966 · pith_short_12: MISRNCPHJBKY · pith_short_16: MISRNCPHJBKYIH5H · pith_short_8: MISRNCPH

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/MISRNCPHJBKYIH5HXINY3DLKPI \
  | 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: 62251689e74855841fa7ba1b8d8d6a7a3887a6671b7c560bef8881d554bc3bef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2314fa55ee5a1a97668cb647a26efe8360101d464356dade89cbcd16da1fc3ae",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2018-11-09T15:22:35Z",
    "title_canon_sha256": "fc2d9105d123085b485094ba14eadbe3b36c316fb635d2d8e758e7eaf8cd93fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.03966",
    "kind": "arxiv",
    "version": 2
  }
}