Pith Number

pith:BJJM5LNB

pith:2012:BJJM5LNB4QSS6CWKN373QLQ4FR

not attested not anchored not stored refs pending

Divide knot presentation of sporadic knots of Berge's lens space surgery

Yuichi Yamada

arxiv:1210.2905 v1 · 2012-10-10 · 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{BJJM5LNB4QSS6CWKN373QLQ4FR}

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	2026-05-18T03:43:31.183898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a52ceada1e4252f0aca6effb82e1c2c7062e503110f59ea8de82e4e4fbf115c

Aliases

arxiv: 1210.2905 · arxiv_version: 1210.2905v1 · doi: 10.48550/arxiv.1210.2905 · pith_short_12: BJJM5LNB4QSS · pith_short_16: BJJM5LNB4QSS6CWK · pith_short_8: BJJM5LNB

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/BJJM5LNB4QSS6CWKN373QLQ4FR \
  | 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: 0a52ceada1e4252f0aca6effb82e1c2c7062e503110f59ea8de82e4e4fbf115c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ae66f1ce99269940eefa600805d55e8b03c444f58064f47b2d706a919b7edbf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-10-10T13:13:31Z",
    "title_canon_sha256": "7830666a3308e683d07d74023a0a8ed0934d38f5f3071b28ea022289882c710e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2905",
    "kind": "arxiv",
    "version": 1
  }
}