Pith Number

pith:NEYZKVND

pith:1999:NEYZKVNDZ72HU2TLGR5AQML6VB

not attested not anchored not stored refs pending

Kauffman bracket skein module of a connected sum of 3-manifolds

Jozef H. Przytycki

arxiv:math/9911120 v1 · 1999-11-16 · math.GT · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NEYZKVNDZ72HU2TLGR5AQML6VB}

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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

2 papers in Pith

Defects in skein theory and TQFT

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

Receipt and verification

First computed	2026-07-04T14:41:23.062402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69319555a3cff47a6a6b347a08317ea85ef66e23a525d967a135f99e4218c0f9

Aliases

arxiv: math/9911120 · arxiv_version: math/9911120v1 · doi: 10.48550/arxiv.math/9911120 · pith_short_12: NEYZKVNDZ72H · pith_short_16: NEYZKVNDZ72HU2TL · pith_short_8: NEYZKVND

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/NEYZKVNDZ72HU2TLGR5AQML6VB \
  | 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: 69319555a3cff47a6a6b347a08317ea85ef66e23a525d967a135f99e4218c0f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b55077aace4f0ad426fbbebc17a48f9ef4cfb99cc682c14389e56b61b88740af",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1999-11-16T23:09:59Z",
    "title_canon_sha256": "29df3b01f2ee01b9bcba3ec9bed096b8e44ea1395f65ded088063c390cbb7298"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9911120",
    "kind": "arxiv",
    "version": 1
  }
}