Pith Number

pith:VFJ23LDL

pith:2003:VFJ23LDLOORVBCJUDSZLYHGVIG

not attested not anchored not stored refs pending

On the classification of rational tangles

Louis H. Kauffman, Sofia Lambropoulou

arxiv:math/0311499 v2 · 2003-11-27 · math.GT · math.NT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VFJ23LDLOORVBCJUDSZLYHGVIG}

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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

Analogue of Goeritz matrices for computation of bipartite HOMFLY-PT polynomials

Receipt and verification

First computed	2026-07-04T15:52:40.143559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a953adac6b73a35089341cb2bc1cd54182bb783d617ec6e44c5bbb143c9963fb

Aliases

arxiv: math/0311499 · arxiv_version: math/0311499v2 · doi: 10.48550/arxiv.math/0311499 · pith_short_12: VFJ23LDLOORV · pith_short_16: VFJ23LDLOORVBCJU · pith_short_8: VFJ23LDL

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/VFJ23LDLOORVBCJUDSZLYHGVIG \
  | 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: a953adac6b73a35089341cb2bc1cd54182bb783d617ec6e44c5bbb143c9963fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8259e868f9d4baa93e283061624d968ccd3f4cd65310c707caa9004d0036ba2",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2003-11-27T07:55:31Z",
    "title_canon_sha256": "0067937051072fc63b3533d8ae7e26badf2a4d6f89a331f41691091840691378"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0311499",
    "kind": "arxiv",
    "version": 2
  }
}