Pith Number

pith:5NMD3WA7

pith:2012:5NMD3WA7G2ANNN37GQIIRCSAPB

not attested not anchored not stored refs pending

Set graphs. II. Complexity of set graph recognition and similar problems

Alexandru I. Tomescu, Martin Milani\v{c}, Romeo Rizzi

arxiv:1207.7184 v1 · 2012-07-31 · cs.DM · 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{5NMD3WA7G2ANNN37GQIIRCSAPB}

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	2026-05-18T02:21:07.844992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb583dd81f3680d6b77f3410888a40786e0e32ffcd58da340cb82de4db1bfb43

Aliases

arxiv: 1207.7184 · arxiv_version: 1207.7184v1 · doi: 10.48550/arxiv.1207.7184 · pith_short_12: 5NMD3WA7G2AN · pith_short_16: 5NMD3WA7G2ANNN37 · pith_short_8: 5NMD3WA7

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/5NMD3WA7G2ANNN37GQIIRCSAPB \
  | 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: eb583dd81f3680d6b77f3410888a40786e0e32ffcd58da340cb82de4db1bfb43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "394d63e73d53c1b8465051ab40031da91f1e3945ce4bdd046db1dbea32344e96",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-07-31T08:41:33Z",
    "title_canon_sha256": "3bc76f34abeb3de401cce38c2e30cd98f7fbb2d352f564bcd3c2703aa5ac64ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.7184",
    "kind": "arxiv",
    "version": 1
  }
}