Pith Number

pith:JPCECADD

pith:2018:JPCECADDQUG66GNQPISOEHNTZZ

not attested not anchored not stored refs pending

On multiplying curves in the Kauffman bracket skein algebra of the thickened four-holed sphere

J\'ozef H. Przytycki, Marithania Silvero, Rhea Palak Bakshi, Sujoy Mukherjee, Xiao Wang

arxiv:1805.06062 v1 · 2018-05-15 · math.GT · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JPCECADDQUG66GNQPISOEHNTZZ}

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.

Receipt and verification

First computed	2026-05-18T00:15:49.012402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bc4410063850def19b07a24e21db3ce7595bcbaae92104e36285e069096393e

Aliases

arxiv: 1805.06062 · arxiv_version: 1805.06062v1 · doi: 10.48550/arxiv.1805.06062 · pith_short_12: JPCECADDQUG6 · pith_short_16: JPCECADDQUG66GNQ · pith_short_8: JPCECADD

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/JPCECADDQUG66GNQPISOEHNTZZ \
  | 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: 4bc4410063850def19b07a24e21db3ce7595bcbaae92104e36285e069096393e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d458ab0856d8308a2c65bb6da406cc9e8168bd9e2c2392d878aa8f57c7020e24",
    "cross_cats_sorted": [
      "math.QA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-05-15T23:03:19Z",
    "title_canon_sha256": "237f67918b0e26f0ac0f60cb1a6f78940b94bb4740669ec1cee67685e8120277"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.06062",
    "kind": "arxiv",
    "version": 1
  }
}