Pith Number

pith:WDWO26HC

pith:2025:WDWO26HCTOUBB42JIXIIBR6OVQ

not attested not anchored not stored refs pending

On singular Lagrangian fibrations and applications to symplectic embeddings I

Alejandro Vicente, Renato Vianna, Santiago Achig-Andrango

arxiv:2506.01556 v1 · 2025-06-02 · 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{WDWO26HCTOUBB42JIXIIBR6OVQ}

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	2026-07-05T11:14:15.774423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0eced78e29ba810f34945d080c7ceac03ad979e8dde0502fd39017322957739

Aliases

arxiv: 2506.01556 · arxiv_version: 2506.01556v1 · doi: 10.48550/arxiv.2506.01556 · pith_short_12: WDWO26HCTOUB · pith_short_16: WDWO26HCTOUBB42J · pith_short_8: WDWO26HC

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/WDWO26HCTOUBB42JIXIIBR6OVQ \
  | 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: b0eced78e29ba810f34945d080c7ceac03ad979e8dde0502fd39017322957739

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60415d3c70e5ff13d66194014c02d343b9a8a3a188022fc45b70e72ca20b84fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2025-06-02T11:34:11Z",
    "title_canon_sha256": "9950c1bfbfeeaf6b3dc58f2055939893be71526352a61f8e5e054770f8804212"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.01556",
    "kind": "arxiv",
    "version": 1
  }
}