Pith Number

pith:KUIMY5CS

pith:2010:KUIMY5CSJNW4SPSDFWIVT7V3SW

not attested not anchored not stored refs pending

The Graph Isomorphism Problem and approximate categories

Harm Derksen

arxiv:1012.2081 v1 · 2010-12-09 · math.CO · cs.CC · math.AC · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KUIMY5CSJNW4SPSDFWIVT7V3SW}

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	2026-05-18T04:33:49.033164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5510cc74524b6dc93e432d9159febb95b1c5e2324eedec8a31f2176f23c100d1

Aliases

arxiv: 1012.2081 · arxiv_version: 1012.2081v1 · doi: 10.48550/arxiv.1012.2081 · pith_short_12: KUIMY5CSJNW4 · pith_short_16: KUIMY5CSJNW4SPSD · pith_short_8: KUIMY5CS

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/KUIMY5CSJNW4SPSDFWIVT7V3SW \
  | 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: 5510cc74524b6dc93e432d9159febb95b1c5e2324eedec8a31f2176f23c100d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e9a95051c1a67bd88d9402ac8df018a3208e10c369fc85a825a8bd1a8939217",
    "cross_cats_sorted": [
      "cs.CC",
      "math.AC",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-12-09T19:02:45Z",
    "title_canon_sha256": "0d660731a57f2da607942848674fe7d52d8901e2b453b757b8131e859c47762e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2081",
    "kind": "arxiv",
    "version": 1
  }
}