Pith Number

pith:LHWIRIH2

pith:2010:LHWIRIH2OKRMEYV2PBM27PS3CA

not attested not anchored not stored refs pending

The Tambara-Yamagami categories and 3-manifold invariants

Leonid Vainerman, Vladimir Turaev

arxiv:1009.1798 v2 · 2010-09-09 · math.QA · math.CT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LHWIRIH2OKRMEYV2PBM27PS3CA}

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	2026-05-18T04:24:35.196656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59ec88a0fa72a2c262ba7859afbe5b100d781bbd75722d48ef0f5af3bd942246

Aliases

arxiv: 1009.1798 · arxiv_version: 1009.1798v2 · doi: 10.48550/arxiv.1009.1798 · pith_short_12: LHWIRIH2OKRM · pith_short_16: LHWIRIH2OKRMEYV2 · pith_short_8: LHWIRIH2

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/LHWIRIH2OKRMEYV2PBM27PS3CA \
  | 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: 59ec88a0fa72a2c262ba7859afbe5b100d781bbd75722d48ef0f5af3bd942246

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "307fe1b6bd1d73b93ea66969080be354bff4ca13ba342514d0af9f54148134c1",
    "cross_cats_sorted": [
      "math.CT",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-09-09T14:47:35Z",
    "title_canon_sha256": "e3e1931e2075cd1790d0473b42a421f42945e9e0603373250f77d2ef8c4b3fbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1798",
    "kind": "arxiv",
    "version": 2
  }
}