Pith Number

pith:YNSKRR6C

pith:2018:YNSKRR6CEYIPDKOIVMM6EJO7ZO

not attested not anchored not stored refs pending

Limit cycles appearing from perturbations of cubic piecewise smooth center with double invariant real straight lines

Jihua Yang, Liqin Zhao

arxiv:1808.01553 v1 · 2018-08-05 · 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{YNSKRR6CEYIPDKOIVMM6EJO7ZO}

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	2026-05-18T00:08:52.616674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c364a8c7c22610f1a9c8ab19e225dfcbbad1f876e3025f25e53f065e49b1f34b

Aliases

arxiv: 1808.01553 · arxiv_version: 1808.01553v1 · doi: 10.48550/arxiv.1808.01553 · pith_short_12: YNSKRR6CEYIP · pith_short_16: YNSKRR6CEYIPDKOI · pith_short_8: YNSKRR6C

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/YNSKRR6CEYIPDKOIVMM6EJO7ZO \
  | 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: c364a8c7c22610f1a9c8ab19e225dfcbbad1f876e3025f25e53f065e49b1f34b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36681050ea53774744b04783705282b49a464f7d8057918bf71fa570b474e30e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-08-05T02:30:55Z",
    "title_canon_sha256": "9cfac3bb51ad60f1c9892920ce766999de1b18b50dcd8a6bda87a81fc64eaa78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.01553",
    "kind": "arxiv",
    "version": 1
  }
}