Pith Number

pith:OIB7DKVN

pith:2012:OIB7DKVNLE3GL4IHH5MP3EGM57

not attested not anchored not stored refs pending

$FSZ$-groups and Frobenius-Schur Indicators of Quantum Doubles

Geoffrey Mason, Miodrag Iovanov, Susan Montgomery

arxiv:1208.4153 v1 · 2012-08-21 · math.RA · math.GR · 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{OIB7DKVNLE3GL4IHH5MP3EGM57}

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.

Receipt and verification

First computed	2026-05-18T03:48:24.862801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7203f1aaad593665f1073f58fd90cceff8d3a74113556ae2d9535a6d33b8099b

Aliases

arxiv: 1208.4153 · arxiv_version: 1208.4153v1 · doi: 10.48550/arxiv.1208.4153 · pith_short_12: OIB7DKVNLE3G · pith_short_16: OIB7DKVNLE3GL4IH · pith_short_8: OIB7DKVN

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/OIB7DKVNLE3GL4IHH5MP3EGM57 \
  | 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: 7203f1aaad593665f1073f58fd90cceff8d3a74113556ae2d9535a6d33b8099b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92296db0b11f6a22f6a24b5a615a9cc41f2cb1cb06b1c17a8884c180231330cd",
    "cross_cats_sorted": [
      "math.GR",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-08-21T01:03:28Z",
    "title_canon_sha256": "0e2927381b99e286be2bcaf2b4132213eb8d1878e6dc4c98f837d54b2f0be223"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4153",
    "kind": "arxiv",
    "version": 1
  }
}