Pith Number

pith:ELFBLD72

pith:2017:ELFBLD722YGOK7QPTKB7DD75UH

not attested not anchored not stored refs pending

Cograph Editing: Merging Modules is equivalent to Editing P4's

Adrian Fritz, Marc Hellmuth, Nicolas Wieseke, Peter F. Stadler

arxiv:1702.07499 v3 · 2017-02-24 · 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{ELFBLD722YGOK7QPTKB7DD75UH}

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	2026-07-05T00:03:11.443873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22ca158ffad60ce57e0f9a83f18ffda1e3e74bcfe3b34a990f0988b4e931b72a

Aliases

arxiv: 1702.07499 · arxiv_version: 1702.07499v3 · doi: 10.48550/arxiv.1702.07499 · pith_short_12: ELFBLD722YGO · pith_short_16: ELFBLD722YGOK7QP · pith_short_8: ELFBLD72

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/ELFBLD722YGOK7QPTKB7DD75UH \
  | 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: 22ca158ffad60ce57e0f9a83f18ffda1e3e74bcfe3b34a990f0988b4e931b72a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e9b6e63eb5a15b084f14196d88c7b033f50b9c480da39157452c643f5c714fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2017-02-24T08:51:13Z",
    "title_canon_sha256": "6a71632320ac8dd89ddb73e9f63270010bfcd14e04c411ef8c7b7f4bd5874ce0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.07499",
    "kind": "arxiv",
    "version": 3
  }
}