Pith Number

pith:VLUQ55N7

pith:2004:VLUQ55N7B4GAOPZVC34L6RMJY6

not attested not anchored not stored refs pending

The Kauffman bracket skein module of a twist knot exterior

Doug Bullock, Walter Lo Faro

arxiv:math/0402102 v2 · 2004-02-06 · math.QA · 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{VLUQ55N7B4GAOPZVC34L6RMJY6}

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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

Kauffman bracket skein module of the connected sum of two solid tori

Receipt and verification

First computed	2026-05-18T02:41:32.526206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aae90ef5bf0f0c073f3516f8bf4589c79be1a07dc4b4022cc2bd479b2143b3e0

Aliases

arxiv: math/0402102 · arxiv_version: math/0402102v2 · doi: 10.48550/arxiv.math/0402102 · pith_short_12: VLUQ55N7B4GA · pith_short_16: VLUQ55N7B4GAOPZV · pith_short_8: VLUQ55N7

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/VLUQ55N7B4GAOPZVC34L6RMJY6 \
  | 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: aae90ef5bf0f0c073f3516f8bf4589c79be1a07dc4b4022cc2bd479b2143b3e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ab8a28489c464c193c95f2763004946e0d8cc3022c1dd092428a7bb847ffc8b",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2004-02-06T17:29:40Z",
    "title_canon_sha256": "c1f178324c87d56e5d5a6ea206fca3c98de7f4f219011b4ba201a4c56bbb3bc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0402102",
    "kind": "arxiv",
    "version": 2
  }
}