Pith Number

pith:FWWX74DD

pith:2010:FWWX74DDJ2UOL4JNHE5HGWDCY4

not attested not anchored not stored refs pending

The link surgery of $S^2\times S^2$ and Scharlemann's manifolds

Motoo Tange

arxiv:1011.5308 v3 · 2010-11-24 · 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{FWWX74DDJ2UOL4JNHE5HGWDCY4}

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	2026-05-18T02:23:17.627072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dad7ff0634ea8e5f12d393a735862c703c5f5bd12afc4b3b16c9ef160ebc6c7

Aliases

arxiv: 1011.5308 · arxiv_version: 1011.5308v3 · doi: 10.48550/arxiv.1011.5308 · pith_short_12: FWWX74DDJ2UO · pith_short_16: FWWX74DDJ2UOL4JN · pith_short_8: FWWX74DD

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/FWWX74DDJ2UOL4JNHE5HGWDCY4 \
  | 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: 2dad7ff0634ea8e5f12d393a735862c703c5f5bd12afc4b3b16c9ef160ebc6c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7db5ca408ebea360cf00d44ac96630f46cac6846266eaf21a43d108de1df787",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-11-24T07:10:56Z",
    "title_canon_sha256": "7ae836246481016442d17fc131706709ba56a0165232c595b8fa3479e864eee5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5308",
    "kind": "arxiv",
    "version": 3
  }
}