Pith Number

pith:K4W33ONX

pith:2012:K4W33ONXUQPXWKNKVJMRDOACXZ

not attested not anchored not stored refs pending

Trivalent Graph isomorphism in polynomial time

Adria Alcala Mena

arxiv:1209.1040 v1 · 2012-09-05 · cs.DM · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K4W33ONXUQPXWKNKVJMRDOACXZ}

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	2026-05-18T03:46:15.652004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

572dbdb9b7a41f7b29aaaa5911b802be521998515dc47aaefc3cc6460f07d173

Aliases

arxiv: 1209.1040 · arxiv_version: 1209.1040v1 · doi: 10.48550/arxiv.1209.1040 · pith_short_12: K4W33ONXUQPX · pith_short_16: K4W33ONXUQPXWKNK · pith_short_8: K4W33ONX

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/K4W33ONXUQPXWKNKVJMRDOACXZ \
  | 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: 572dbdb9b7a41f7b29aaaa5911b802be521998515dc47aaefc3cc6460f07d173

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46bf5b3613be0a973a2e0135fe8f86da7b4be712870814b8dc49e972af965c02",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-09-05T16:54:02Z",
    "title_canon_sha256": "f4aba31a78ad60807b892abce5004312ce1a56acb532c9b5d9031d6367ff290b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1040",
    "kind": "arxiv",
    "version": 1
  }
}