Pith Number

pith:BWUJQJ3D

pith:2012:BWUJQJ3D5FRHXR7NNGGNSEVZPJ

not attested not anchored not stored refs pending

Knotted handle decomposing spheres for handlebody-knots

Atsushi Ishii, Kengo Kishimoto, Makoto Ozawa

arxiv:1211.4458 v1 · 2012-11-19 · 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{BWUJQJ3D5FRHXR7NNGGNSEVZPJ}

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	2026-05-18T03:40:26.822359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0da8982763e9627bc7ed698cd912b97a670e7d6973603fac371e71fcd4270cd3

Aliases

arxiv: 1211.4458 · arxiv_version: 1211.4458v1 · doi: 10.48550/arxiv.1211.4458 · pith_short_12: BWUJQJ3D5FRH · pith_short_16: BWUJQJ3D5FRHXR7N · pith_short_8: BWUJQJ3D

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/BWUJQJ3D5FRHXR7NNGGNSEVZPJ \
  | 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: 0da8982763e9627bc7ed698cd912b97a670e7d6973603fac371e71fcd4270cd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6deff7c3a5167e39ad48d447796e04d9a9c8956837f4b8755abde40c2c77398b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-11-19T15:19:22Z",
    "title_canon_sha256": "2813bd6fbda811e6cdc06216fb14a9173c8156e8b791ab7fc2c6a3ad3730ac0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4458",
    "kind": "arxiv",
    "version": 1
  }
}