Pith Number

pith:PPZ7JS3I

pith:2015:PPZ7JS3IYUBV7OXAAK7LDLK3VK

not attested not anchored not stored refs pending

Domains of analyticity of Lindstedt expansions of KAM tori in dissipative perturbations of Hamiltonian systems

Alessandra Celletti, Rafael de la Llave, Renato C. Calleja

arxiv:1506.00057 v1 · 2015-05-30 · 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{PPZ7JS3IYUBV7OXAAK7LDLK3VK}

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	2026-05-18T01:59:55.601836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bf3f4cb68c5035fbae002beb1ad5baab3366b8aa4487189dc87868d000d22ed

Aliases

arxiv: 1506.00057 · arxiv_version: 1506.00057v1 · doi: 10.48550/arxiv.1506.00057 · pith_short_12: PPZ7JS3IYUBV · pith_short_16: PPZ7JS3IYUBV7OXA · pith_short_8: PPZ7JS3I

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/PPZ7JS3IYUBV7OXAAK7LDLK3VK \
  | 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: 7bf3f4cb68c5035fbae002beb1ad5baab3366b8aa4487189dc87868d000d22ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64ebb09c21fd853a0d15cb197829a67cacf8e62bf4285e915d75df4cf6bdaf72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-05-30T01:40:44Z",
    "title_canon_sha256": "067c46df96881931de774b23b7e68ea5e41e5633ebbed7f8e4b486dca85569ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00057",
    "kind": "arxiv",
    "version": 1
  }
}