Pith Number

pith:VTZVYS3O

pith:2019:VTZVYS3OW33QHXZ4KOKNVF5S2I

not attested not anchored not stored refs pending

Lagrangian fibrations of hyperk\"ahler fourfolds

Chenyang Xu, Daniel Huybrechts

arxiv:1902.10440 v2 · 2019-02-27 · 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{VTZVYS3OW33QHXZ4KOKNVF5S2I}

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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.

Cited by

1 paper in Pith

Numerical invariants of hyper-K\"ahler manifolds

Receipt and verification

First computed	2026-07-05T01:20:45.386953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acf35c4b6eb6f703df3c5394da97b2d205d15210dffcaa4096c6aa5d7dbdb643

Aliases

arxiv: 1902.10440 · arxiv_version: 1902.10440v2 · doi: 10.48550/arxiv.1902.10440 · pith_short_12: VTZVYS3OW33Q · pith_short_16: VTZVYS3OW33QHXZ4 · pith_short_8: VTZVYS3O

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/VTZVYS3OW33QHXZ4KOKNVF5S2I \
  | 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: acf35c4b6eb6f703df3c5394da97b2d205d15210dffcaa4096c6aa5d7dbdb643

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b8a9b36381f99bcc8e8e8b7a253994d45e8f50cbd806f654b482eab75789b96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-02-27T10:33:11Z",
    "title_canon_sha256": "268941125230437ea770f5c81f24d7dab7e7d419f47a125fa798942d82fb736b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.10440",
    "kind": "arxiv",
    "version": 2
  }
}