Pith Number

pith:KFXKOA2F

pith:2012:KFXKOA2F4D42EHTJSBG6HT4LEM

not attested not anchored not stored refs pending

On the birth of limit cycles for non-smooth dynamical systems

Douglas Duarte Novaes, Jaume Llibre, Marco Antonio Teixeira

arxiv:1205.4211 v2 · 2012-05-18 · 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{KFXKOA2F4D42EHTJSBG6HT4LEM}

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	2026-05-18T02:17:43.370052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

516ea70345e0f9a21e69904de3cf8b2319c097bdc9070b3bcf2985a13d7b6535

Aliases

arxiv: 1205.4211 · arxiv_version: 1205.4211v2 · doi: 10.48550/arxiv.1205.4211 · pith_short_12: KFXKOA2F4D42 · pith_short_16: KFXKOA2F4D42EHTJ · pith_short_8: KFXKOA2F

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/KFXKOA2F4D42EHTJSBG6HT4LEM \
  | 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: 516ea70345e0f9a21e69904de3cf8b2319c097bdc9070b3bcf2985a13d7b6535

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aeec1445c426973254567a2242a5eb24d4b62d103769b114ef1833ab69f5e32c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-05-18T18:16:55Z",
    "title_canon_sha256": "8531271b8e3224d23142c3774553ebbe6fcb5282a9c6df719e3b6e7b165e52df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4211",
    "kind": "arxiv",
    "version": 2
  }
}