Pith Number

pith:4KCZV3SR

pith:2015:4KCZV3SRBINRGLEPDWDSSLUJJ5

not attested not anchored not stored refs pending

The Localized Skein Algebra is Frobenius

Charles Frohman, Nel Abdiel

arxiv:1501.02631 v1 · 2015-01-12 · 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{4KCZV3SRBINRGLEPDWDSSLUJJ5}

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	2026-05-18T00:21:00.645782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2859aee510a1b132c8f1d87292e894f537b86598b29d2b5bd2b32ae43d180a7

Aliases

arxiv: 1501.02631 · arxiv_version: 1501.02631v1 · doi: 10.48550/arxiv.1501.02631 · pith_short_12: 4KCZV3SRBINR · pith_short_16: 4KCZV3SRBINRGLEP · pith_short_8: 4KCZV3SR

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/4KCZV3SRBINRGLEPDWDSSLUJJ5 \
  | 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: e2859aee510a1b132c8f1d87292e894f537b86598b29d2b5bd2b32ae43d180a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfb6b82d5c111c88e805ef16d8340c6243c73204e83f880006dd9dbfe62df593",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-01-12T13:02:00Z",
    "title_canon_sha256": "02b5876ac6df853670fe7a39c6ec2f0b976fab19606ea78a7f7eb41e5795659e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02631",
    "kind": "arxiv",
    "version": 1
  }
}