Pith Number

pith:66O72DEY

pith:2011:66O72DEY73MH473BGO4K2IP27U

not attested not anchored not stored refs pending

Smale Horseshoe and Grazing Bifurcation in Impact Systems

Sergey Kryzhevich

arxiv:1106.4344 v1 · 2011-06-21 · 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{66O72DEY73MH473BGO4K2IP27U}

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	2026-05-18T04:19:33.140536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f79dfd0c98fed87e7f6133b8ad21fafd068a051a1feb9835a276f0f84e5c035d

Aliases

arxiv: 1106.4344 · arxiv_version: 1106.4344v1 · doi: 10.48550/arxiv.1106.4344 · pith_short_12: 66O72DEY73MH · pith_short_16: 66O72DEY73MH473B · pith_short_8: 66O72DEY

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/66O72DEY73MH473BGO4K2IP27U \
  | 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: f79dfd0c98fed87e7f6133b8ad21fafd068a051a1feb9835a276f0f84e5c035d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c9614b2c8baed6a884de11ddbb29e9f6f891893412e05e2743c94cf2ac6796d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-06-21T22:03:15Z",
    "title_canon_sha256": "de6470c08b25acba67ef7f9dd9fd1062e71eee2216cb6baa4de1772c6eb55c9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4344",
    "kind": "arxiv",
    "version": 1
  }
}