Pith Number

pith:NWDJ5FSA

pith:2012:NWDJ5FSAW25QNNOF2EECKTTLLU

not attested not anchored not stored refs pending

On the Complexity of Recognizing S-composite and S-prime Graphs

Marc Hellmuth

arxiv:1205.0991 v5 · 2012-05-04 · cs.CC · 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{NWDJ5FSAW25QNNOF2EECKTTLLU}

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	2026-05-18T00:44:46.449941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d869e9640b6bb06b5c5d108254e6b5d2665d2bdc1cf9de22e92a31b8823ad11

Aliases

arxiv: 1205.0991 · arxiv_version: 1205.0991v5 · doi: 10.48550/arxiv.1205.0991 · pith_short_12: NWDJ5FSAW25Q · pith_short_16: NWDJ5FSAW25QNNOF · pith_short_8: NWDJ5FSA

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/NWDJ5FSAW25QNNOF2EECKTTLLU \
  | 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: 6d869e9640b6bb06b5c5d108254e6b5d2665d2bdc1cf9de22e92a31b8823ad11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea660ce8a22a5adcb69151533c4416bf347bc1c097ee362ddd6fa183977fcd53",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2012-05-04T15:49:05Z",
    "title_canon_sha256": "304de42f4f6c81f4f13af14bdc1d558b52028888e96b1ce7dddf599d2ad5bd81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0991",
    "kind": "arxiv",
    "version": 5
  }
}