Pith Number

pith:WFQKI2CW

pith:2010:WFQKI2CWDQDNBATVUTTD4Q7TPK

not attested not anchored not stored refs pending

Completely integrable Hamiltonian systems with weak Lyapunov instability or isochrony

Gaetano Zampieri

arxiv:1009.1516 v3 · 2010-09-08 · 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{WFQKI2CWDQDNBATVUTTD4Q7TPK}

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	2026-05-18T03:00:27.416924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b160a468561c06d08275a4e63e43f37a93490643ce46d2ea7baef1d796dc8d6d

Aliases

arxiv: 1009.1516 · arxiv_version: 1009.1516v3 · doi: 10.48550/arxiv.1009.1516 · pith_short_12: WFQKI2CWDQDN · pith_short_16: WFQKI2CWDQDNBATV · pith_short_8: WFQKI2CW

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/WFQKI2CWDQDNBATVUTTD4Q7TPK \
  | 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: b160a468561c06d08275a4e63e43f37a93490643ce46d2ea7baef1d796dc8d6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9ee3c7a6b53e8f9781ff2499159d694377ab8880653cc92ed1f4682f9b31236",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-09-08T12:43:41Z",
    "title_canon_sha256": "1ff2fa68fc42ca0637eb37aa113fcc621d4b447250aff0f611bd78fff2739fd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1516",
    "kind": "arxiv",
    "version": 3
  }
}