Pith Number

pith:32JBNNTZ

pith:2019:32JBNNTZYZKKO7QFB5WA2JNNBI

not attested not anchored not stored refs pending

The Kauffman bracket skein module of the handlebody of genus 2 via braids

Ioannis Diamantis

arxiv:1908.08231 v1 · 2019-08-22 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32JBNNTZYZKKO7QFB5WA2JNNBI}

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	2026-07-04T23:59:10.783123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de9216b679c654a77e050f6c0d25ad0a2478e6955550b0ecb4ebb3f320d56ebd

Aliases

arxiv: 1908.08231 · arxiv_version: 1908.08231v1 · doi: 10.48550/arxiv.1908.08231 · pith_short_12: 32JBNNTZYZKK · pith_short_16: 32JBNNTZYZKKO7QF · pith_short_8: 32JBNNTZ

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/32JBNNTZYZKKO7QFB5WA2JNNBI \
  | 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: de9216b679c654a77e050f6c0d25ad0a2478e6955550b0ecb4ebb3f320d56ebd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cc35fe217317cfad9f0adb84ae5e2b38a4c6ee5ccd391008d09a84b6c4aca9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-08-22T07:16:23Z",
    "title_canon_sha256": "661e13d90fc8ef5cdb22ea60c0f2fe4454acfe35ba3c5ff7ef42b8ea4d9595ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08231",
    "kind": "arxiv",
    "version": 1
  }
}