Pith Number

pith:5UMU7RRX

pith:2016:5UMU7RRXH5XM4Z3DIYFUNZM2RL

not attested not anchored not stored refs pending

On the Equivalence of Module Categories over a Group-Theoretical Fusion Category

Sonia Natale

arxiv:1608.04435 v3 · 2016-08-15 · 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{5UMU7RRXH5XM4Z3DIYFUNZM2RL}

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

Symmetry Spans and Enforced Gaplessness

Receipt and verification

First computed	2026-05-18T00:42:12.845727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed194fc6373f6ece6763460b46e59a8ac23957f269bc8121009e0bcb4db4ce4a

Aliases

arxiv: 1608.04435 · arxiv_version: 1608.04435v3 · doi: 10.48550/arxiv.1608.04435 · pith_short_12: 5UMU7RRXH5XM · pith_short_16: 5UMU7RRXH5XM4Z3D · pith_short_8: 5UMU7RRX

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/5UMU7RRXH5XM4Z3DIYFUNZM2RL \
  | 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: ed194fc6373f6ece6763460b46e59a8ac23957f269bc8121009e0bcb4db4ce4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dc40628ded8bb9c2c317fc51e3c5ebee8ee1dadaaf98b9b4a417d56371bc6e7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-08-15T23:27:59Z",
    "title_canon_sha256": "a5789d725f04d247051ae8d64ceb3be7e46c0c9066997cfab4aabc98ff195f38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04435",
    "kind": "arxiv",
    "version": 3
  }
}