Pith Number

pith:QAYVNOGK

pith:2010:QAYVNOGKHORJSIKTFU4VTH5YZQ

not attested not anchored not stored refs pending

On two approaches to 3-dimensional TQFTs

Alexis Virelizier, Vladimir Turaev

arxiv:1006.3501 v5 · 2010-06-17 · math.GT · math.QA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QAYVNOGKHORJSIKTFU4VTH5YZQ}

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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

A geometrical description of untwisted 3d Dijkgraaf-Witten TQFT with defects

Receipt and verification

First computed	2026-05-18T03:20:19.114335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

803156b8ca3ba29921532d39599fb8cc0b93467188394d2a76ab0c898bf26f66

Aliases

arxiv: 1006.3501 · arxiv_version: 1006.3501v5 · doi: 10.48550/arxiv.1006.3501 · pith_short_12: QAYVNOGKHORJ · pith_short_16: QAYVNOGKHORJSIKT · pith_short_8: QAYVNOGK

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/QAYVNOGKHORJSIKTFU4VTH5YZQ \
  | 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: 803156b8ca3ba29921532d39599fb8cc0b93467188394d2a76ab0c898bf26f66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcb6342b6b8e4a2b2594ead4d0009750d8d3be1bea144d0d6c42edc84285285d",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-06-17T16:04:53Z",
    "title_canon_sha256": "4a132d3f6d7ee56cbdff978ca12b4576e6082bbc77aa5957a71cefffccf93f48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.3501",
    "kind": "arxiv",
    "version": 5
  }
}