Pith Number

pith:J7GUGCDN

pith:2026:J7GUGCDNFNZ42MWUELHOTW2ZAA

not attested not anchored not stored refs pending

Graph Isomorphism and Representation Theory

Jacob Urisman, Joshua A. Grochow

arxiv:2606.26244 v1 · 2026-06-24 · cs.CC · cs.DS · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J7GUGCDNFNZ42MWUELHOTW2ZAA}

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	2026-06-26T00:15:30.925456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fcd43086d2b73cd32d422cee9db59001310508e5a5e2e497276b86c9842a115

Aliases

arxiv: 2606.26244 · arxiv_version: 2606.26244v1 · doi: 10.48550/arxiv.2606.26244 · pith_short_12: J7GUGCDNFNZ4 · pith_short_16: J7GUGCDNFNZ42MWU · pith_short_8: J7GUGCDN

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/J7GUGCDNFNZ42MWUELHOTW2ZAA \
  | 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: 4fcd43086d2b73cd32d422cee9db59001310508e5a5e2e497276b86c9842a115

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e56a5f0602dcf5105a89f2b5f5c775b5fc43859b7de4f1679d3854e999a82935",
    "cross_cats_sorted": [
      "cs.DS",
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2026-06-24T18:00:09Z",
    "title_canon_sha256": "49b21d413251cf93d598cced78f01b111c2f8d18a74c5c70eef162d46507f84a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26244",
    "kind": "arxiv",
    "version": 1
  }
}