Pith Number

pith:OUOIBHUE

pith:2009:OUOIBHUEIKDW3KOZF3SS4P23JC

not attested not anchored not stored refs pending

On deformations of Lagrangian fibrations

Daisuke Matsushita

arxiv:0903.2098 v2 · 2009-03-12 · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OUOIBHUEIKDW3KOZF3SS4P23JC}

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	2026-05-18T01:55:40.008166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

751c809e8442876da9d92ee52e3f5b48a9a68ef97f7f1066d1291ca72c96d138

Aliases

arxiv: 0903.2098 · arxiv_version: 0903.2098v2 · doi: 10.48550/arxiv.0903.2098 · pith_short_12: OUOIBHUEIKDW · pith_short_16: OUOIBHUEIKDW3KOZ · pith_short_8: OUOIBHUE

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/OUOIBHUEIKDW3KOZF3SS4P23JC \
  | 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: 751c809e8442876da9d92ee52e3f5b48a9a68ef97f7f1066d1291ca72c96d138

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37278f53e07490d8b78e2c50aed850d49ec8d4bc3f17f8ba36fe27a0127f1a3f",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-03-12T05:39:19Z",
    "title_canon_sha256": "c4789e024531c70acb15aced364d8487ef97ee44ed810e86b687f12d66ade259"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.2098",
    "kind": "arxiv",
    "version": 2
  }
}