Pith Number

pith:PYCYAQUN

pith:2014:PYCYAQUN5FLWXLO3NJUHZJPGJI

not attested not anchored not stored refs pending

On the hyperbolicity of $C^1$-generic homoclinic classes

Xiaodong Wang

arxiv:1412.4656 v1 · 2014-12-15 · 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{PYCYAQUN5FLWXLO3NJUHZJPGJI}

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	2026-05-18T02:31:18.601501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e0580428de9576baddb6a687ca5e64a3c27c4a5bc6fd048e44ba2503229a484

Aliases

arxiv: 1412.4656 · arxiv_version: 1412.4656v1 · doi: 10.48550/arxiv.1412.4656 · pith_short_12: PYCYAQUN5FLW · pith_short_16: PYCYAQUN5FLWXLO3 · pith_short_8: PYCYAQUN

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/PYCYAQUN5FLWXLO3NJUHZJPGJI \
  | 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: 7e0580428de9576baddb6a687ca5e64a3c27c4a5bc6fd048e44ba2503229a484

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55bbcaf6ae4e9f1045e3f792e2ceeb7244b6cb533aa04b5fdd59ad6c3f6f2089",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-12-15T16:18:16Z",
    "title_canon_sha256": "d98d443d024a3dc8f0234ca7cf175b75aad18a2146a5897dceee2f2c0da693aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4656",
    "kind": "arxiv",
    "version": 1
  }
}