Pith Number

pith:N2CKLR7Q

pith:2015:N2CKLR7Q3OBFASO6M2H6SM7QGJ

not attested not anchored not stored refs pending

Kupka-Smale diffeomorphisms at the boundary of uniform hyperbolicity: a model

Isabel Rios, Renaud Leplaideur

arxiv:1512.06967 v1 · 2015-12-22 · 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{N2CKLR7Q3OBFASO6M2H6SM7QGJ}

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	2026-05-18T01:23:53.289333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e84a5c7f0db825049de668fe933f0327e9eb98fa7c3283b7b5191a6bfd01296

Aliases

arxiv: 1512.06967 · arxiv_version: 1512.06967v1 · doi: 10.48550/arxiv.1512.06967 · pith_short_12: N2CKLR7Q3OBF · pith_short_16: N2CKLR7Q3OBFASO6 · pith_short_8: N2CKLR7Q

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/N2CKLR7Q3OBFASO6M2H6SM7QGJ \
  | 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: 6e84a5c7f0db825049de668fe933f0327e9eb98fa7c3283b7b5191a6bfd01296

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "839493680f5f82a5feab43d622d135ade2e97e35a2fd05b65e4bd9c605a20892",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-12-22T06:19:41Z",
    "title_canon_sha256": "9427ecafc487cd18baafa9f8710136eccb7986575ceb77f75582e2fbdbb48c45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06967",
    "kind": "arxiv",
    "version": 1
  }
}