Pith Number

pith:4KQ25IF3

pith:2013:4KQ25IF3L3QHZXM6WHZ2PC73OM

not attested not anchored not stored refs pending

Some knots in S^1 x S^2 with lens space surgeries

Ana G. Lecuona, Dorothy Buck, Kenneth L. Baker

arxiv:1302.7011 v1 · 2013-02-27 · 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{4KQ25IF3L3QHZXM6WHZ2PC73OM}

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	2026-05-18T03:32:17.699754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2a1aea0bb5ee07cdd9eb1f3a78bfb733012f4c9c0259fed97e4f09dab42dc22

Aliases

arxiv: 1302.7011 · arxiv_version: 1302.7011v1 · doi: 10.48550/arxiv.1302.7011 · pith_short_12: 4KQ25IF3L3QH · pith_short_16: 4KQ25IF3L3QHZXM6 · pith_short_8: 4KQ25IF3

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/4KQ25IF3L3QHZXM6WHZ2PC73OM \
  | 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: e2a1aea0bb5ee07cdd9eb1f3a78bfb733012f4c9c0259fed97e4f09dab42dc22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0405d03a1e8f8f42f44473640272ae250e5854d6c6be88b93d25cb54881d02e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-02-27T21:38:24Z",
    "title_canon_sha256": "1ab1bb1965f55c2c83baabfa9f3b664adf98ebf9642a84554e4c457ee75d01ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.7011",
    "kind": "arxiv",
    "version": 1
  }
}