Pith Number

pith:3ZWG6QZL

pith:2016:3ZWG6QZLNZ2M7NDF44ERTK2AQC

not attested not anchored not stored refs pending

Non-degeneracy conditions for braided finite tensor categories

Kenichi Shimizu (Shibaura Institute of Technology)

arxiv:1602.06534 v2 · 2016-02-21 · 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{3ZWG6QZLNZ2M7NDF44ERTK2AQC}

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

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories

Receipt and verification

First computed	2026-05-18T01:03:59.424829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de6c6f432b6e74cfb465e70919ab40809e79fcc2c0b513eb1eb91859c1b1ad55

Aliases

arxiv: 1602.06534 · arxiv_version: 1602.06534v2 · doi: 10.48550/arxiv.1602.06534 · pith_short_12: 3ZWG6QZLNZ2M · pith_short_16: 3ZWG6QZLNZ2M7NDF · pith_short_8: 3ZWG6QZL

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/3ZWG6QZLNZ2M7NDF44ERTK2AQC \
  | 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: de6c6f432b6e74cfb465e70919ab40809e79fcc2c0b513eb1eb91859c1b1ad55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69ff578a6b20f0aef7467706b46c8aadbbed9560d7f82aecef926d141e3c8aea",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-02-21T14:46:00Z",
    "title_canon_sha256": "aa6bc6804e9cf278afb3f13fe2cc1823ef547d6ad630f4b7115a928cd938a5ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06534",
    "kind": "arxiv",
    "version": 2
  }
}