Pith Number

pith:63WLC2VG

pith:2009:63WLC2VGHMS2YLPS3JGT2H2B26

not attested not anchored not stored refs pending

On the Stability of the Set of Hyperbolic Closed Orbits of a Hamiltonian

Celia Ferreira, Jorge Rocha, Mario Bessa

arxiv:0909.3801 v1 · 2009-09-21 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{63WLC2VGHMS2YLPS3JGT2H2B26}

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	2026-05-18T02:11:45.725382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6ecb16aa63b25ac2df2da4d3d1f41d791ab291eb81b609550308dc8ef7e2ada

Aliases

arxiv: 0909.3801 · arxiv_version: 0909.3801v1 · doi: 10.48550/arxiv.0909.3801 · pith_short_12: 63WLC2VGHMS2 · pith_short_16: 63WLC2VGHMS2YLPS · pith_short_8: 63WLC2VG

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/63WLC2VGHMS2YLPS3JGT2H2B26 \
  | 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: f6ecb16aa63b25ac2df2da4d3d1f41d791ab291eb81b609550308dc8ef7e2ada

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d85f87c983c16a3570a22f57f92a01823adb2dc60e9e19964789f6ccb696b203",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-09-21T15:29:45Z",
    "title_canon_sha256": "8f36245705be7cf59e98252131ab8e24a3e9aab0d28e769a32e6bc786d42d3a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.3801",
    "kind": "arxiv",
    "version": 1
  }
}