Pith Number

pith:LYYDNXUM

pith:2015:LYYDNXUMJMLT5UEUBU5WXC454D

not attested not anchored not stored refs pending

Lagrangian product tori in tame symplectic manifolds

Felix Schlenk, Yuri Chekanov

arxiv:1502.00180 v1 · 2015-02-01 · 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{LYYDNXUMJMLT5UEUBU5WXC454D}

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	2026-05-18T02:28:12.535348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e3036de8c4b173ed0940d3b6b8b9de0c2d5115ffc61704a83d3ec980b2ec3ff

Aliases

arxiv: 1502.00180 · arxiv_version: 1502.00180v1 · doi: 10.48550/arxiv.1502.00180 · pith_short_12: LYYDNXUMJMLT · pith_short_16: LYYDNXUMJMLT5UEU · pith_short_8: LYYDNXUM

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/LYYDNXUMJMLT5UEUBU5WXC454D \
  | 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: 5e3036de8c4b173ed0940d3b6b8b9de0c2d5115ffc61704a83d3ec980b2ec3ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "773eeb9781a178d15dd368a591ded0ca319dadc7043362911cdce8e165d55593",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-02-01T00:21:20Z",
    "title_canon_sha256": "ff1db3b8912758f9cf59fae5517b0c856525761b4b29b3b893bd8c9b1f07acfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.00180",
    "kind": "arxiv",
    "version": 1
  }
}