Pith Number

pith:N3YYTS7I

pith:1998:N3YYTS7IT7O72Z5GR53MC2WA3U

not attested not anchored not stored refs pending

S-Structures for k-linear categories and the definition of a modular functor

Ulrike Tillmann

arxiv:math/9802089 v1 · 1998-02-18 · math.GT · math.CT · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N3YYTS7IT7O72Z5GR53MC2WA3U}

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	2026-07-04T14:40:27.473104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ef189cbe89fddfd67a68f76c16ac0dd046a1ebc4e90f3272e5229a578be8a70

Aliases

arxiv: math/9802089 · arxiv_version: math/9802089v1 · doi: 10.48550/arxiv.math/9802089 · pith_short_12: N3YYTS7IT7O7 · pith_short_16: N3YYTS7IT7O72Z5G · pith_short_8: N3YYTS7I

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/N3YYTS7IT7O72Z5GR53MC2WA3U \
  | 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: 6ef189cbe89fddfd67a68f76c16ac0dd046a1ebc4e90f3272e5229a578be8a70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bffb2f3f5fa6d199d8e14b2b4a6e706120191630c85054aee5dc759cbb85e03a",
    "cross_cats_sorted": [
      "math.CT",
      "math.QA",
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1998-02-18T15:14:15Z",
    "title_canon_sha256": "06b7af651881acb4f895b52dde266a28f508d64d0134a6eef5c28e2eb75622c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9802089",
    "kind": "arxiv",
    "version": 1
  }
}