Pith Number

pith:S7F4LXOV

pith:2001:S7F4LXOVNLFH5MDWAOC6UEN2AG

not attested not anchored not stored refs pending

Module categories, weak Hopf algebras and modular invariants

Viktor Ostrik

arxiv:math/0111139 v1 · 2001-11-12 · math.QA · math.CT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S7F4LXOVNLFH5MDWAOC6UEN2AG}

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

14 papers in Pith

Operational Tube-Sector Theory of Quantum State Distinguishability Under Generalized Symmetries

Hypergroup Symmetry in Relative Quantum Field Theories and Chiral Algebras

Frobenius Algebras and Dual Bimodules in Monoidal 2-Categories

Algebras of order parameters in one-dimensional spin systems

Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries

Receipt and verification

First computed	2026-07-04T14:35:45.066729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97cbc5ddd56aca7eb0760385ea11ba01ad053f1e732334280be343a404d96c7d

Aliases

arxiv: math/0111139 · arxiv_version: math/0111139v1 · doi: 10.48550/arxiv.math/0111139 · pith_short_12: S7F4LXOVNLFH · pith_short_16: S7F4LXOVNLFH5MDW · pith_short_8: S7F4LXOV

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/S7F4LXOVNLFH5MDWAOC6UEN2AG \
  | 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: 97cbc5ddd56aca7eb0760385ea11ba01ad053f1e732334280be343a404d96c7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a949e5d258c384bc53e14f2d5f134459b6866eb495b9e3244556cfdb2c79ca9",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2001-11-12T21:08:11Z",
    "title_canon_sha256": "2dbe715efcd371b2fb7d884da25ec1429f836c8baab102b6617767d9e06590be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0111139",
    "kind": "arxiv",
    "version": 1
  }
}