Pith Number

pith:FCZ45OK7

pith:2016:FCZ45OK7ESO7AHDQC5S2T36OKF

not attested not anchored not stored refs pending

Infinitely many monotone Lagrangian tori in del Pezzo surfaces

Renato Vianna

arxiv:1602.03356 v1 · 2016-02-10 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FCZ45OK7ESO7AHDQC5S2T36OKF}

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

2 papers in Pith

Tropical disk potential for almost toric manifolds

Holomorphic disks and tropical Lagrangians

Receipt and verification

First computed	2026-05-18T01:21:00.214251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28b3ceb95f249df01c701765a9efce5146cc846e91511f9ae0420ee0d779c164

Aliases

arxiv: 1602.03356 · arxiv_version: 1602.03356v1 · doi: 10.48550/arxiv.1602.03356 · pith_short_12: FCZ45OK7ESO7 · pith_short_16: FCZ45OK7ESO7AHDQ · pith_short_8: FCZ45OK7

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/FCZ45OK7ESO7AHDQC5S2T36OKF \
  | 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: 28b3ceb95f249df01c701765a9efce5146cc846e91511f9ae0420ee0d779c164

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38a952f6d7936d9e60d0aaa3032448ea1ecc157944a51865d71ea53abe50690c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2016-02-10T12:58:52Z",
    "title_canon_sha256": "4d8d38f6fe404c015717c90c56c53d87d0f065eaca40c6813ef06fd7fd8ac507"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03356",
    "kind": "arxiv",
    "version": 1
  }
}