Pith Number

pith:GGA5DRSI

pith:1994:GGA5DRSIHM4TOKD32JZ3GG4WD4

not attested not anchored not stored refs pending

Modular properties of ribbon abelian categories

Volodymyr Lyubashenko

arxiv:hep-th/9405168 v2 · 1994-05-26 · hep-th · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GGA5DRSIHM4TOKD32JZ3GG4WD4}

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	2026-07-04T15:09:41.203931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3181d1c6483b3937287bd273b31b961f2563dac2fbb171ee12b9da8bb91899a5

Aliases

arxiv: hep-th/9405168 · arxiv_version: hep-th/9405168v2 · doi: 10.48550/arxiv.hep-th/9405168 · pith_short_12: GGA5DRSIHM4T · pith_short_16: GGA5DRSIHM4TOKD3 · pith_short_8: GGA5DRSI

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/GGA5DRSIHM4TOKD32JZ3GG4WD4 \
  | 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: 3181d1c6483b3937287bd273b31b961f2563dac2fbb171ee12b9da8bb91899a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e40cebcc2a5259f47f1f409d7e0c1fa1eb23df5bb9a8d12a4842e2e607457911",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1994-05-26T10:51:48Z",
    "title_canon_sha256": "8c0189b88aed8d1c1bbddb61592a5762dc7d323ceba75ad55f6d74809cbcdcbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9405168",
    "kind": "arxiv",
    "version": 2
  }
}