Pith Number

pith:QSF3QM6W

pith:2009:QSF3QM6W3KDKOHTAB6G4A6S4YX

not attested not anchored not stored refs pending

Zariski F-decomposition and Lagrangian fibration on hyperk\"ahler manifolds

Daisuke Matsushita, De-Qi Zhang

arxiv:0907.5311 v5 · 2009-07-30 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QSF3QM6W3KDKOHTAB6G4A6S4YX}

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	2026-05-18T02:53:05.095196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

848bb833d6da86a71e600f8dc07a5cc5faf88365ef03af95c0df503a66188b93

Aliases

arxiv: 0907.5311 · arxiv_version: 0907.5311v5 · doi: 10.48550/arxiv.0907.5311 · pith_short_12: QSF3QM6W3KDK · pith_short_16: QSF3QM6W3KDKOHTA · pith_short_8: QSF3QM6W

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/QSF3QM6W3KDKOHTAB6G4A6S4YX \
  | 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: 848bb833d6da86a71e600f8dc07a5cc5faf88365ef03af95c0df503a66188b93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b10bb2231d90d161e3c8ae4638e11d06840858e46714aa1b7b661ba51da7242f",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-07-30T11:31:06Z",
    "title_canon_sha256": "31b76d072ddb3990cf69421a549251da219a60fa1cc0975f93df727ca22ff55b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.5311",
    "kind": "arxiv",
    "version": 5
  }
}