Pith Number

pith:CF5N3G7B

pith:2013:CF5N3G7BRTONCWREV3DKSEYQHH

not attested not anchored not stored refs pending

Exponentially small asymptotic estimates for the splitting of separatrices to whiskered tori with quadratic and cubic frequencies

Amadeu Delshams, Marina Gonchenko, Pere Gutierrez

arxiv:1306.0728 v1 · 2013-06-04 · 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{CF5N3G7BRTONCWREV3DKSEYQHH}

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	2026-05-18T03:21:53.389034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

117add9be18cdcd15a24aec6a9131039db04aee65faaa085cfd65094f967f6ac

Aliases

arxiv: 1306.0728 · arxiv_version: 1306.0728v1 · doi: 10.48550/arxiv.1306.0728 · pith_short_12: CF5N3G7BRTON · pith_short_16: CF5N3G7BRTONCWRE · pith_short_8: CF5N3G7B

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/CF5N3G7BRTONCWREV3DKSEYQHH \
  | 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: 117add9be18cdcd15a24aec6a9131039db04aee65faaa085cfd65094f967f6ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e335423db4f584a0cc645e06f21e08971b3b2d97748c132bc4670f3825994b31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-06-04T10:44:35Z",
    "title_canon_sha256": "03ff9c1278ee9d3372016476cf2738ad51b717a664f350a28988f131935a1cc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0728",
    "kind": "arxiv",
    "version": 1
  }
}