Pith Number

pith:J5JFWJ2X

pith:2016:J5JFWJ2XMOHBWSSFNL4D4LDYNV

not attested not anchored not stored refs pending

Global bifurcations of limit cycles in the Kukles cubic system

Valery A. Gaiko

arxiv:1611.08113 v1 · 2016-11-24 · 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{J5JFWJ2XMOHBWSSFNL4D4LDYNV}

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	2026-05-18T00:56:44.353013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f525b2757638e1b4a456af83e2c786d53673bee8492b2162ff5e3c6ffc54f7f

Aliases

arxiv: 1611.08113 · arxiv_version: 1611.08113v1 · doi: 10.48550/arxiv.1611.08113 · pith_short_12: J5JFWJ2XMOHB · pith_short_16: J5JFWJ2XMOHBWSSF · pith_short_8: J5JFWJ2X

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/J5JFWJ2XMOHBWSSFNL4D4LDYNV \
  | 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: 4f525b2757638e1b4a456af83e2c786d53673bee8492b2162ff5e3c6ffc54f7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85ff26af9aee44ccac9d73937522067fedce537301766ba15dc100b7905f75c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-11-24T09:35:06Z",
    "title_canon_sha256": "d9d3dbba70478b59fde2148a6ab1e1c380036c1ef85010c1f7ace05025dace6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08113",
    "kind": "arxiv",
    "version": 1
  }
}