Pith Number

pith:TMBFW6PT

pith:2012:TMBFW6PTIDWUFPOCNVE64ZB24X

not attested not anchored not stored refs pending

Measurement Isomorphism of Graphs

Dylan P. Thurston, Steven J. Gortler

arxiv:1212.6551 v1 · 2012-12-28 · math.MG · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TMBFW6PTIDWUFPOCNVE64ZB24X}

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	2026-05-18T03:37:31.600741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b025b79f340ed42bdc26d49ee643ae5e8a44ac0d6dc6a7b5a44fc5a0cbdf36d

Aliases

arxiv: 1212.6551 · arxiv_version: 1212.6551v1 · doi: 10.48550/arxiv.1212.6551 · pith_short_12: TMBFW6PTIDWU · pith_short_16: TMBFW6PTIDWUFPOC · pith_short_8: TMBFW6PT

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/TMBFW6PTIDWUFPOCNVE64ZB24X \
  | 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: 9b025b79f340ed42bdc26d49ee643ae5e8a44ac0d6dc6a7b5a44fc5a0cbdf36d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5e87d326a4b0516c8b85e47d91a85883054caae1c31efdae6d0d27dedcd8bdc",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-12-28T18:42:42Z",
    "title_canon_sha256": "49d6698f279221ff86d77f7420d9e0d654b4a1392afecb7a2fc8207d7dadb7b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6551",
    "kind": "arxiv",
    "version": 1
  }
}