Pith Number

pith:XZO2ZLCS

pith:2017:XZO2ZLCSXUJN2LLKPUWKMCXMKM

not attested not anchored not stored refs pending

Modular decomposition of transitive graphs and transitively orienting their complements

Henning Koehler

arxiv:1710.04333 v1 · 2017-10-12 · 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{XZO2ZLCSXUJN2LLKPUWKMCXMKM}

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	2026-05-18T00:33:01.351244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be5dacac52bd12dd2d6a7d2ca60aec530261289ff981373c25353d10cb79150f

Aliases

arxiv: 1710.04333 · arxiv_version: 1710.04333v1 · doi: 10.48550/arxiv.1710.04333 · pith_short_12: XZO2ZLCSXUJN · pith_short_16: XZO2ZLCSXUJN2LLK · pith_short_8: XZO2ZLCS

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/XZO2ZLCSXUJN2LLKPUWKMCXMKM \
  | 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: be5dacac52bd12dd2d6a7d2ca60aec530261289ff981373c25353d10cb79150f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72dbaa3f1518463e23c49409353651f16fd8712cf988025805edf94a13da3655",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2017-10-12T00:29:41Z",
    "title_canon_sha256": "2af15878903b1a3ea2e40c1676f6d21a4cb782bc30099492bc99393612483a55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.04333",
    "kind": "arxiv",
    "version": 1
  }
}