Pith Number

pith:UIKHBZNW

pith:2016:UIKHBZNWIIGMSZQCJX6WZDYQHO

not attested not anchored not stored refs pending

Graphs vertex-partitionable into strong cliques

Ademir Hujdurovi\'c, Bernard Ries, Martin Milani\v{c}

arxiv:1609.06961 v2 · 2016-09-22 · 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{UIKHBZNWIIGMSZQCJX6WZDYQHO}

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	2026-05-18T00:53:17.191297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a21470e5b6420cc966024dfd6c8f103baca3ed09ecaede4e5cf8b5c3941b3680

Aliases

arxiv: 1609.06961 · arxiv_version: 1609.06961v2 · doi: 10.48550/arxiv.1609.06961 · pith_short_12: UIKHBZNWIIGM · pith_short_16: UIKHBZNWIIGMSZQC · pith_short_8: UIKHBZNW

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/UIKHBZNWIIGMSZQCJX6WZDYQHO \
  | 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: a21470e5b6420cc966024dfd6c8f103baca3ed09ecaede4e5cf8b5c3941b3680

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e8c791c836c5a211e98f8cb18121bc2d00a65e19ec1aadc829a44f9d8932d4a",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-22T13:18:56Z",
    "title_canon_sha256": "8b3313c91e150e07d4a4a3544d3c962aab4fa95d654a5985e05e556de38131ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06961",
    "kind": "arxiv",
    "version": 2
  }
}