Pith Number

pith:QO5RDILT

pith:2015:QO5RDILT4Y3AFUEMOLUA36WHLG

not attested not anchored not stored refs pending

A knot with destabilized bridge spheres of arbitrarily high bridge number

Kazuto Takao, Makoto Ozawa, Tsuyoshi Kobayashi, Yeonhee Jang

arxiv:1501.06263 v2 · 2015-01-26 · 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{QO5RDILT4Y3AFUEMOLUA36WHLG}

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	2026-05-18T00:44:28.534334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83bb11a173e63602d08c72e80dfac759a697bdd867f3c156add10a231a1aa614

Aliases

arxiv: 1501.06263 · arxiv_version: 1501.06263v2 · doi: 10.48550/arxiv.1501.06263 · pith_short_12: QO5RDILT4Y3A · pith_short_16: QO5RDILT4Y3AFUEM · pith_short_8: QO5RDILT

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/QO5RDILT4Y3AFUEMOLUA36WHLG \
  | 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: 83bb11a173e63602d08c72e80dfac759a697bdd867f3c156add10a231a1aa614

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee343b392b5a7aa610b213d4bb2923a243cbdc2586f1da1dd6979199663d50ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-01-26T06:51:29Z",
    "title_canon_sha256": "fec1a77670e8b71324413ddd6dc0a1d55c9d76e1a4b73cbe2517c0d2739f6046"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06263",
    "kind": "arxiv",
    "version": 2
  }
}