Pith Number

pith:5ONGCKMH

pith:2012:5ONGCKMHBV67DEQ4OAH2JEUNOV

not attested not anchored not stored refs pending

Transition map and shadowing lemma for normally hyperbolic invariant manifolds

Amadeu Delshams, Marian Gidea, Pablo Roldan

arxiv:1204.1507 v1 · 2012-04-06 · math.DS · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5ONGCKMHBV67DEQ4OAH2JEUNOV}

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	2026-05-18T03:58:25.338302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb9a6129870d7df1921c700fa4928d756814b1e43df4ecd9b194e8c31c2b1ff0

Aliases

arxiv: 1204.1507 · arxiv_version: 1204.1507v1 · doi: 10.48550/arxiv.1204.1507 · pith_short_12: 5ONGCKMHBV67 · pith_short_16: 5ONGCKMHBV67DEQ4 · pith_short_8: 5ONGCKMH

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/5ONGCKMHBV67DEQ4OAH2JEUNOV \
  | 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: eb9a6129870d7df1921c700fa4928d756814b1e43df4ecd9b194e8c31c2b1ff0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "146157925591184ba48665c8bfcfc5b6b17ed82959eaea3c708e534f94fcbabd",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-04-06T16:08:29Z",
    "title_canon_sha256": "0f5e5f95f9381473103961c70ffdc81d8a5346d608384b765846b57da7355a50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1507",
    "kind": "arxiv",
    "version": 1
  }
}