Pith Number

pith:6LUDAU4R

pith:2012:6LUDAU4RRPLAK2DLAZ2AVDX26D

not attested not anchored not stored refs pending

The Picard crossed module of a braided tensor category

Alexei Davydov, Dmitri Nikshych

arxiv:1202.0061 v1 · 2012-02-01 · 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{6LUDAU4RRPLAK2DLAZ2AVDX26D}

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	2026-05-18T04:03:20.614013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2e83053918bd605686b06740a8efaf0e2c64d0d6706a6492959ca64df87eea3

Aliases

arxiv: 1202.0061 · arxiv_version: 1202.0061v1 · doi: 10.48550/arxiv.1202.0061 · pith_short_12: 6LUDAU4RRPLA · pith_short_16: 6LUDAU4RRPLAK2DL · pith_short_8: 6LUDAU4R

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/6LUDAU4RRPLAK2DLAZ2AVDX26D \
  | 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: f2e83053918bd605686b06740a8efaf0e2c64d0d6706a6492959ca64df87eea3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8e74fd0ee69a9c4ae32cf710d3ae4534e156502d5b0b1cbe48fcdf95a5ad9f3",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-02-01T00:26:11Z",
    "title_canon_sha256": "fc75bd6fc16e61bf39d1160799cac7f1e9ad6296cb057a47ef58acaa5b395fbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0061",
    "kind": "arxiv",
    "version": 1
  }
}