Pith Number

pith:I7Z6LDGV

pith:2009:I7Z6LDGV2TRLLHBZI7ZERCKJAW

not attested not anchored not stored refs pending

Lefschetz fibrations and exotic symplectic structures on cotangent bundles of spheres; includes Corrigendum

Maksim Maydanskiy, Paul Seidel

arxiv:0906.2230 v3 · 2009-06-11 · math.SG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I7Z6LDGV2TRLLHBZI7ZERCKJAW}

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	2026-05-18T02:19:34.507711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47f3e58cd5d4e2b59c3947f2488949058d0c519701739130c71409cbc7b74859

Aliases

arxiv: 0906.2230 · arxiv_version: 0906.2230v3 · doi: 10.48550/arxiv.0906.2230 · pith_short_12: I7Z6LDGV2TRL · pith_short_16: I7Z6LDGV2TRLLHBZ · pith_short_8: I7Z6LDGV

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/I7Z6LDGV2TRLLHBZI7ZERCKJAW \
  | 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: 47f3e58cd5d4e2b59c3947f2488949058d0c519701739130c71409cbc7b74859

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bd5f635033346b052c1e07069058f31e73f0fcaf611034bdc39b273aa36dce9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2009-06-11T23:48:42Z",
    "title_canon_sha256": "b4c7303544f8d6679746d6af58d820e2f131639e6f4cf18596b7fa90472b4358"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.2230",
    "kind": "arxiv",
    "version": 3
  }
}