Pith Number

pith:VABCCTRM

pith:2012:VABCCTRMP3JLQET36PXWJ6HNXK

not attested not anchored not stored refs pending

On Z/2Z-extensions of pointed fusion categories

Jean-Michel Vallin, Leonid Vainerman

arxiv:1210.1732 v1 · 2012-10-05 · 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{VABCCTRMP3JLQET36PXWJ6HNXK}

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	2026-05-18T03:43:53.469136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a802214e2c7ed2b8127bf3ef64f8edbaa5675c8caaaa404101e5dfadfdb801a7

Aliases

arxiv: 1210.1732 · arxiv_version: 1210.1732v1 · doi: 10.48550/arxiv.1210.1732 · pith_short_12: VABCCTRMP3JL · pith_short_16: VABCCTRMP3JLQET3 · pith_short_8: VABCCTRM

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/VABCCTRMP3JLQET36PXWJ6HNXK \
  | 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: a802214e2c7ed2b8127bf3ef64f8edbaa5675c8caaaa404101e5dfadfdb801a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b3480114854514aebaa0dbb9e84b03cfdfda14ddd99d4d15e744d9030cf842a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-10-05T12:24:12Z",
    "title_canon_sha256": "ffa5ba74051519087fa58ef65640e75ffb0f353e0c294558d2829d2d1626aab5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1732",
    "kind": "arxiv",
    "version": 1
  }
}