Pith Number

pith:455SLWIM

pith:1998:455SLWIMFDGEBEZ4ZYQ5GQM35J

not attested not anchored not stored refs pending

Fundamentals of Kauffman bracket skein modules

Jozef H. Przytycki

arxiv:math/9809113 v1 · 1998-09-21 · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{455SLWIMFDGEBEZ4ZYQ5GQM35J}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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

Derived skein module

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

Receipt and verification

First computed	2026-07-04T14:40:47.668156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e77b25d90c28cc40933cce21d3419bea7c229443792135036d1c2ed071ac4651

Aliases

arxiv: math/9809113 · arxiv_version: math/9809113v1 · doi: 10.48550/arxiv.math/9809113 · pith_short_12: 455SLWIMFDGE · pith_short_16: 455SLWIMFDGEBEZ4 · pith_short_8: 455SLWIM

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/455SLWIMFDGEBEZ4ZYQ5GQM35J \
  | 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: e77b25d90c28cc40933cce21d3419bea7c229443792135036d1c2ed071ac4651

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb07a076c9e04c171d42dca11b3a3a9f5e2a976f453260108651a06e2aac7547",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1998-09-21T03:25:20Z",
    "title_canon_sha256": "cfeae9bd9478bad52c716aed902c462bc2404250d70914832688b96a051db5c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9809113",
    "kind": "arxiv",
    "version": 1
  }
}