Pith Number

pith:7SI45NOV

pith:2012:7SI45NOVBEZTGMQEBNYXF57UTP

not attested not anchored not stored refs pending

Destruction of Lagrangian torus for positive definite Hamiltonian systems

Chong-Qing Cheng, Lin Wang

arxiv:1211.6480 v1 · 2012-11-27 · math.DS · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7SI45NOVBEZTGMQEBNYXF57UTP}

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	2026-05-18T03:39:51.426982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc91ceb5d509333332040b7172f7f49bcd3c590d0fd7287aaca2aa9b8b3d1039

Aliases

arxiv: 1211.6480 · arxiv_version: 1211.6480v1 · doi: 10.48550/arxiv.1211.6480 · pith_short_12: 7SI45NOVBEZT · pith_short_16: 7SI45NOVBEZTGMQE · pith_short_8: 7SI45NOV

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/7SI45NOVBEZTGMQEBNYXF57UTP \
  | 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: fc91ceb5d509333332040b7172f7f49bcd3c590d0fd7287aaca2aa9b8b3d1039

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f576800a80735e0bcd048a820ef625227e5203518cdbb1cd8d73ca8d803ee51",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-11-27T23:51:05Z",
    "title_canon_sha256": "9449e2619e8c97f7ca7aade02d2f47b030920417480ce3baf3befdb8fd5ddcda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6480",
    "kind": "arxiv",
    "version": 1
  }
}