Pith Number

pith:UORZE2AP

pith:2010:UORZE2APWSUZVIWN33SS6VVRWY

not attested not anchored not stored refs pending

On the integrality of Witten-Reshetikhin-Turaev 3-manifold invariants

Anna Beliakova, Qi Chen, Thang Le

arxiv:1010.4750 v2 · 2010-10-22 · math.QA · math.GT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UORZE2APWSUZVIWN33SS6VVRWY}

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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.

Receipt and verification

First computed	2026-05-18T02:54:22.519807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3a392680fb4a99aa2cddee52f56b1b60aa26885f5bfc299c2cb17b78ca14be8

Aliases

arxiv: 1010.4750 · arxiv_version: 1010.4750v2 · doi: 10.48550/arxiv.1010.4750 · pith_short_12: UORZE2APWSUZ · pith_short_16: UORZE2APWSUZVIWN · pith_short_8: UORZE2AP

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/UORZE2APWSUZVIWN33SS6VVRWY \
  | 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: a3a392680fb4a99aa2cddee52f56b1b60aa26885f5bfc299c2cb17b78ca14be8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd84c1c9a3a3a68df58ef38b0152284e91179327b17d99aa105419afad45f132",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-10-22T16:24:37Z",
    "title_canon_sha256": "f6beac335dabb2fc8f2139ef7415dafc7faeb59781c6eca5100fab55960a0c0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4750",
    "kind": "arxiv",
    "version": 2
  }
}