Pith Number

pith:SJ3DRRRF

pith:2011:SJ3DRRRF6COWR65N3VRYI2JKSX

not attested not anchored not stored refs pending

Saddle-point-Saddle-focus singular cycles and existence of horseshoes

Xiao-Song Yang

arxiv:1103.4900 v1 · 2011-03-25 · nlin.CD · 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{SJ3DRRRF6COWR65N3VRYI2JKSX}

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	2026-05-18T04:25:48.431915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

927638c625f09d68fbaddd6384692a95fd4eb8d3c4b8bdffe8357d0ec64756f9

Aliases

arxiv: 1103.4900 · arxiv_version: 1103.4900v1 · doi: 10.48550/arxiv.1103.4900 · pith_short_12: SJ3DRRRF6COW · pith_short_16: SJ3DRRRF6COWR65N · pith_short_8: SJ3DRRRF

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/SJ3DRRRF6COWR65N3VRYI2JKSX \
  | 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: 927638c625f09d68fbaddd6384692a95fd4eb8d3c4b8bdffe8357d0ec64756f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae5d923b9e70286a80fb5656797eea9fb6ff12a1eeffa5b1121888d7dec9509c",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2011-03-25T03:49:52Z",
    "title_canon_sha256": "c8b05bdecd1b7c42e28e8d335aaaef19a5664d6f010d2d554c91244557dffdd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4900",
    "kind": "arxiv",
    "version": 1
  }
}