Pith Number

pith:HX7ALZIW

pith:2010:HX7ALZIWPNMPSBVNIG3U43SFID

not attested not anchored not stored refs pending

Essential hyperbolicity and homoclinic bifurcations: a dichotomy phenomenon/mechanism for diffeomorphisms

Enrique R. Pujals, Sylvain Crovisier

arxiv:1011.3836 v1 · 2010-11-16 · 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{HX7ALZIWPNMPSBVNIG3U43SFID}

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	2026-05-18T04:35:47.479822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dfe05e5167b58f906ad41b74e6e4540d080e989d6aba7b8a33a74efe5864dd8

Aliases

arxiv: 1011.3836 · arxiv_version: 1011.3836v1 · doi: 10.48550/arxiv.1011.3836 · pith_short_12: HX7ALZIWPNMP · pith_short_16: HX7ALZIWPNMPSBVN · pith_short_8: HX7ALZIW

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/HX7ALZIWPNMPSBVNIG3U43SFID \
  | 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: 3dfe05e5167b58f906ad41b74e6e4540d080e989d6aba7b8a33a74efe5864dd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8504a1403be43eb7f37fd6859b53e4d8714f71760630ff984546a9b4042c4487",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-11-16T21:35:46Z",
    "title_canon_sha256": "0809e06e97d42dcc6753b10651de0add01879f398f8f76e342969a915c3936e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3836",
    "kind": "arxiv",
    "version": 1
  }
}