Pith Number

pith:634HZF3H

pith:2012:634HZF3HLGWCSEPTSK4P36WPAK

not attested not anchored not stored refs pending

Principal graph stability and the jellyfish algorithm

David Penneys, Stephen Bigelow

arxiv:1208.1564 v1 · 2012-08-08 · math.OA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{634HZF3HLGWCSEPTSK4P36WPAK}

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	2026-05-18T03:49:11.204619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6f87c976759ac2911f392b8fdfacf02b003cddd4e012a06c82d89d16ab68450

Aliases

arxiv: 1208.1564 · arxiv_version: 1208.1564v1 · doi: 10.48550/arxiv.1208.1564 · pith_short_12: 634HZF3HLGWC · pith_short_16: 634HZF3HLGWCSEPT · pith_short_8: 634HZF3H

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/634HZF3HLGWCSEPTSK4P36WPAK \
  | 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: f6f87c976759ac2911f392b8fdfacf02b003cddd4e012a06c82d89d16ab68450

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c202a642cc695623b04bb8ef7050c29df3d6351757b0ac461a261ddbd89f82ff",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-08-08T02:30:52Z",
    "title_canon_sha256": "4dc514f534a7a98ffd0eeef6c36576db19c441d7db08eb08bddb1589e8458970"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1564",
    "kind": "arxiv",
    "version": 1
  }
}