Pith Number

pith:KDR6ACZJ

pith:2012:KDR6ACZJNZKLRSH5SADPNMFOJW

not attested not anchored not stored refs pending

Constructing spoke subfactors using the jellyfish algorithm

David Penneys, Scott Morrison

arxiv:1208.3637 v2 · 2012-08-17 · 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{KDR6ACZJNZKLRSH5SADPNMFOJW}

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	2026-05-18T01:34:13.806821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50e3e00b296e54b8c8fd9006f6b0ae4db07fae87e1a503d29ffd497cb4dfecab

Aliases

arxiv: 1208.3637 · arxiv_version: 1208.3637v2 · doi: 10.48550/arxiv.1208.3637 · pith_short_12: KDR6ACZJNZKL · pith_short_16: KDR6ACZJNZKLRSH5 · pith_short_8: KDR6ACZJ

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/KDR6ACZJNZKLRSH5SADPNMFOJW \
  | 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: 50e3e00b296e54b8c8fd9006f6b0ae4db07fae87e1a503d29ffd497cb4dfecab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85842390710ed2357bfa316cd31e645ce8c7d62f99d99569d7db8d1e02179434",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-08-17T16:45:59Z",
    "title_canon_sha256": "d4f8e1f3ab11e66b2bf96360e4a5e4565a996bdc07bc9876ac74c08d122a5769"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3637",
    "kind": "arxiv",
    "version": 2
  }
}