Pith Number

pith:ZJLEZKEF

pith:2018:ZJLEZKEFHIVONP4F546PRYNLR2

not attested not anchored not stored refs pending

On symplectic lifts of actions for complete Lagrangian fibrations

Edith Padr\'on, Juan Carlos Marrero

arxiv:1810.05656 v1 · 2018-10-12 · math.SG · 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{ZJLEZKEFHIVONP4F546PRYNLR2}

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	2026-05-18T00:03:27.300073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca564ca8853a2ae6bf85ef3cf8e1ab8e9687ddc2222b722c250301a059bcdc1f

Aliases

arxiv: 1810.05656 · arxiv_version: 1810.05656v1 · doi: 10.48550/arxiv.1810.05656 · pith_short_12: ZJLEZKEFHIVO · pith_short_16: ZJLEZKEFHIVONP4F · pith_short_8: ZJLEZKEF

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/ZJLEZKEFHIVONP4F546PRYNLR2 \
  | 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: ca564ca8853a2ae6bf85ef3cf8e1ab8e9687ddc2222b722c250301a059bcdc1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e107a5af02fb3ffe7ea18930385d899ab2c02bc51ecb331c37500d87c868138",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2018-10-12T18:03:35Z",
    "title_canon_sha256": "123fd86b122f9e1944158f3f5339703152c4f701ee241495189f0373d8fd4a02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.05656",
    "kind": "arxiv",
    "version": 1
  }
}