Pith Number

pith:BNHKXGMS

pith:2024:BNHKXGMSN53LC2SRLFYWD7EEZ3

not attested not anchored not stored refs pending

Compactifying Lagrangian fibrations

Giulia Sacc\`a

arxiv:2411.06505 v2 · 2024-11-10 · 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{BNHKXGMSN53LC2SRLFYWD7EEZ3}

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.

Cited by

4 papers in Pith

Irreducible symplectic varieties via K3-del Pezzo double covers

Autoduality of compactified Pryms for \'etale double covers of curves with planar singularities

Topology of projective Tate-Shafarevich twists

Hyper-K\"ahler varieties: Lagrangian fibrations, atomic sheaves, and categories

Receipt and verification

First computed	2026-07-05T10:02:54.709800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b4eab99926f76b16a51597161fc84ceed34050361ca00deba5166507aff4ef1

Aliases

arxiv: 2411.06505 · arxiv_version: 2411.06505v2 · doi: 10.48550/arxiv.2411.06505 · pith_short_12: BNHKXGMSN53L · pith_short_16: BNHKXGMSN53LC2SR · pith_short_8: BNHKXGMS

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/BNHKXGMSN53LC2SRLFYWD7EEZ3 \
  | 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: 0b4eab99926f76b16a51597161fc84ceed34050361ca00deba5166507aff4ef1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "481cd2606f2be358e474d2ae0d0832f6fa20dbc52f45384cc02eec73e75408ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-11-10T15:59:31Z",
    "title_canon_sha256": "dc5953c065da591a92dcad1a2c8819387aeb32e371a30f63e365044bb41aa7d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.06505",
    "kind": "arxiv",
    "version": 2
  }
}