Pith Number

pith:52LI4T4E

pith:2015:52LI4T4ES5OOZYKKHLTXPD2FV4

not attested not anchored not stored refs pending

Almost all Lagrangian torus orbits in ${\mathbb C}P^n$ are not Hamiltonian volume minimizing

Hajime Ono, Hiroshi Iriyeh

arxiv:1512.01940 v1 · 2015-12-07 · math.DG · 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{52LI4T4ES5OOZYKKHLTXPD2FV4}

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	2026-05-18T01:25:09.135535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee968e4f84975cece14a3ae7778f45af3dd428503b451ef28e88ce3ec74c7d53

Aliases

arxiv: 1512.01940 · arxiv_version: 1512.01940v1 · doi: 10.48550/arxiv.1512.01940 · pith_short_12: 52LI4T4ES5OO · pith_short_16: 52LI4T4ES5OOZYKK · pith_short_8: 52LI4T4E

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/52LI4T4ES5OOZYKKHLTXPD2FV4 \
  | 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: ee968e4f84975cece14a3ae7778f45af3dd428503b451ef28e88ce3ec74c7d53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5017fc673582f465b544f62a669f1da096c07535417348cba7e48538c9edb1cf",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-12-07T08:13:43Z",
    "title_canon_sha256": "840ef265004e5f215dc63dc2cdec869027b0ab648818029d614fab22fe72cfbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01940",
    "kind": "arxiv",
    "version": 1
  }
}