Pith Number

pith:BS3XJIQM

pith:2024:BS3XJIQMFXH6W6JQRQFV2JJI5N

not attested not anchored not stored refs pending

Kauffman bracket skein algebra of the 4-holed disk

Haimiao Chen

arxiv:2411.15829 v2 · 2024-11-24 · 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{BS3XJIQMFXH6W6JQRQFV2JJI5N}

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	2026-07-05T11:47:15.902852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cb774a20c2dcfeb79308c0b5d2528eb76e013938db7119cc7eafc37f7bc9203

Aliases

arxiv: 2411.15829 · arxiv_version: 2411.15829v2 · doi: 10.48550/arxiv.2411.15829 · pith_short_12: BS3XJIQMFXH6 · pith_short_16: BS3XJIQMFXH6W6JQ · pith_short_8: BS3XJIQM

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/BS3XJIQMFXH6W6JQRQFV2JJI5N \
  | 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: 0cb774a20c2dcfeb79308c0b5d2528eb76e013938db7119cc7eafc37f7bc9203

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e36580a4eb95774b3b0f375d29b70a86f1806c6c2643c008e51ae060355d5c8",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-11-24T13:11:52Z",
    "title_canon_sha256": "ad639a21a4e719b64f2b9356db82d1153332c0c981a707b74982b1f6e771ae87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.15829",
    "kind": "arxiv",
    "version": 2
  }
}