Pith Number

pith:OEUD2LYM

pith:2016:OEUD2LYM6KGWYYPIB56CDCTYQB

not attested not anchored not stored refs pending

Bifurcation of limit cycles from a fold-fold singularity in planar switched systems

Oleg Makarenkov

arxiv:1603.03117 v2 · 2016-03-10 · 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{OEUD2LYM6KGWYYPIB56CDCTYQB}

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	2026-05-18T01:17:04.753864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71283d2f0cf28d6c61e80f7c218a788072956fbfb9c11da2a0f6ae804369fa39

Aliases

arxiv: 1603.03117 · arxiv_version: 1603.03117v2 · doi: 10.48550/arxiv.1603.03117 · pith_short_12: OEUD2LYM6KGW · pith_short_16: OEUD2LYM6KGWYYPI · pith_short_8: OEUD2LYM

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/OEUD2LYM6KGWYYPIB56CDCTYQB \
  | 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: 71283d2f0cf28d6c61e80f7c218a788072956fbfb9c11da2a0f6ae804369fa39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edc112d61d5aa3c5a74099535585bde9209b7fab97c5f01c00446824b576c7d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-03-10T01:04:10Z",
    "title_canon_sha256": "3353f502d615f35cdb5be6803cc62ef54ea71a2f78fb49a0babbaa6c51643b0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03117",
    "kind": "arxiv",
    "version": 2
  }
}