Pith Number

pith:EO7TDRVU

pith:2009:EO7TDRVUPIC25CZMZ2SM4DKQMZ

not attested not anchored not stored refs pending

Suspending Lefschetz fibrations, with an application to Local Mirror Symmetry

Paul Seidel

arxiv:0907.2063 v2 · 2009-07-12 · math.SG · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EO7TDRVUPIC25CZMZ2SM4DKQMZ}

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	2026-05-18T02:13:03.631063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23bf31c6b47a05ae8b2ccea4ce0d506650442d7720fb246a30cbd1bbab8b9320

Aliases

arxiv: 0907.2063 · arxiv_version: 0907.2063v2 · doi: 10.48550/arxiv.0907.2063 · pith_short_12: EO7TDRVUPIC2 · pith_short_16: EO7TDRVUPIC25CZM · pith_short_8: EO7TDRVU

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/EO7TDRVUPIC25CZMZ2SM4DKQMZ \
  | 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: 23bf31c6b47a05ae8b2ccea4ce0d506650442d7720fb246a30cbd1bbab8b9320

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ccfe0bd6b325b3118da08818f06f72f40a16fb7825a2414aa0046ff5c0ec4e4",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2009-07-12T20:46:50Z",
    "title_canon_sha256": "d53673894381cf84cc9b53241cffcdedfd7734ccbb1c0f211bd3542a962d77e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.2063",
    "kind": "arxiv",
    "version": 2
  }
}