Pith Number

pith:5JIMH5W4

pith:2024:5JIMH5W462DQHOND3NRZVECWKD

not attested not anchored not stored refs pending

Sections of Lagrangian fibrations on holomorphic symplectic manifolds

Fedor Bogomolov, Ljudmila Kamenova, Misha Verbitsky

arxiv:2407.07877 v6 · 2024-07-10 · math.AG · math.CV · 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{5JIMH5W462DQHOND3NRZVECWKD}

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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

Topology of projective Tate-Shafarevich twists

Receipt and verification

First computed	2026-06-10T01:10:55.419955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea50c3f6dcf68703b9a3db639a905650ec83497f1d2633d64969cf2e2a84455d

Aliases

arxiv: 2407.07877 · arxiv_version: 2407.07877v6 · doi: 10.48550/arxiv.2407.07877 · pith_short_12: 5JIMH5W462DQ · pith_short_16: 5JIMH5W462DQHOND · pith_short_8: 5JIMH5W4

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/5JIMH5W462DQHOND3NRZVECWKD \
  | 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: ea50c3f6dcf68703b9a3db639a905650ec83497f1d2633d64969cf2e2a84455d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b183d70d25b9bc72b0cc31bb30fa28cbae9a1dfff5c036534d048486d1db939",
    "cross_cats_sorted": [
      "math.CV",
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-07-10T17:45:58Z",
    "title_canon_sha256": "efbd02b626382276a312cd83c62e44cad9954bb7d16c670776056cff7ab818b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.07877",
    "kind": "arxiv",
    "version": 6
  }
}