Pith Number

pith:XDD3J2YM

pith:2004:XDD3J2YMGABICRIPR2NODCE7ZD

not attested not anchored not stored refs pending

An analogue of Radford's S^4 formula for finite tensor categories

Dmitri Nikshych, Pavel Etingof, Viktor Ostrik

arxiv:math/0404504 v1 · 2004-04-27 · math.QA · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XDD3J2YMGABICRIPR2NODCE7ZD}

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.

Cited by

1 paper in Pith

Non-semisimple open-closed 3d TFT

Receipt and verification

First computed	2026-07-04T15:42:41.969436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8c7b4eb0c300281450f8e9ae1889fc8f9870c150312eb3abb0787c5727ab77d

Aliases

arxiv: math/0404504 · arxiv_version: math/0404504v1 · doi: 10.48550/arxiv.math/0404504 · pith_short_12: XDD3J2YMGABI · pith_short_16: XDD3J2YMGABICRIP · pith_short_8: XDD3J2YM

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/XDD3J2YMGABICRIPR2NODCE7ZD \
  | 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: b8c7b4eb0c300281450f8e9ae1889fc8f9870c150312eb3abb0787c5727ab77d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "432014479250f6aa35643b883bf36ea61a7ca40965ae9aa619ccbb7c8ce7738d",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2004-04-27T22:30:15Z",
    "title_canon_sha256": "d509d55464c025bf49080c6b3a52d89c94750fc1a60feb2c6e9e2b318a43e9eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0404504",
    "kind": "arxiv",
    "version": 1
  }
}