Pith Number

pith:GT76YVUC

pith:2002:GT76YVUCHERKOUQ55TSYZISU5M

not attested not anchored not stored refs pending

On the quantum sl_2 invariants of knots and integral homology spheres

Kazuo Habiro

arxiv:math/0211044 v1 · 2002-11-04 · math.GT · math.QA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GT76YVUCHERKOUQ55TSYZISU5M}

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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

Quantum invariants of 3-manifolds and links: a review

Receipt and verification

First computed	2026-07-04T14:36:41.955413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34ffec56823922a7521dece58ca254eb37f629f7bd955758a887f2ed82009762

Aliases

arxiv: math/0211044 · arxiv_version: math/0211044v1 · doi: 10.48550/arxiv.math/0211044 · pith_short_12: GT76YVUCHERK · pith_short_16: GT76YVUCHERKOUQ5 · pith_short_8: GT76YVUC

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/GT76YVUCHERKOUQ55TSYZISU5M \
  | 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: 34ffec56823922a7521dece58ca254eb37f629f7bd955758a887f2ed82009762

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f3be6a310e305dcb8b7f4f8f2262f544474608740eaf75bf907918212fa781d",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2002-11-04T12:23:57Z",
    "title_canon_sha256": "743fa01c75880ed36efd2bb20e94d86e46859be98f32835f5ad441f8cc0bfc0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0211044",
    "kind": "arxiv",
    "version": 1
  }
}