Pith Number

pith:IW4K7CZS

pith:2016:IW4K7CZSSBLXRMLDD55MGW5U64

not attested not anchored not stored refs pending

On the number of limit cycles for a class of discontinuous quadratic differential systems

Shimin Li, Xiuli Cen, Yulin Zhao

arxiv:1609.08048 v1 · 2016-09-26 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IW4K7CZSSBLXRMLDD55MGW5U64}

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	2026-05-18T01:03:54.618412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45b8af8b32905778b1631f7ac35bb4f70565d9547442ae425a8ae64f75fa7122

Aliases

arxiv: 1609.08048 · arxiv_version: 1609.08048v1 · doi: 10.48550/arxiv.1609.08048 · pith_short_12: IW4K7CZSSBLX · pith_short_16: IW4K7CZSSBLXRMLD · pith_short_8: IW4K7CZS

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/IW4K7CZSSBLXRMLDD55MGW5U64 \
  | 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: 45b8af8b32905778b1631f7ac35bb4f70565d9547442ae425a8ae64f75fa7122

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbb9be2aca6f39d1666f8326b5ef915e19a45226a40b121bbc05b450ad5acdf6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-09-26T16:24:39Z",
    "title_canon_sha256": "d2fc5f27f25ee0f4ae3a0b4296f79f03cfb261d7478a6fb96dbc880e09518389"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08048",
    "kind": "arxiv",
    "version": 1
  }
}