Pith Number

pith:JTP73732

pith:2019:JTP73732YDUVRUPQCAQDRJ22QK

not attested not anchored not stored refs pending

Singular Perturbation Theory for a Finite-Dimensional, Discrete-Time Chi Nonlinear System

Al-Thaddeus Avestruz, Xiaofan Cui

arxiv:1907.00060 v1 · 2019-06-28 · math.DS · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JTP73732YDUVRUPQCAQDRJ22QK}

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	2026-05-17T23:41:57.584188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cdffdff7ac0e958d1f0102038a75a8282f6e79248956a3452d1638ed0e8dee3

Aliases

arxiv: 1907.00060 · arxiv_version: 1907.00060v1 · doi: 10.48550/arxiv.1907.00060 · pith_short_12: JTP73732YDUV · pith_short_16: JTP73732YDUVRUPQ · pith_short_8: JTP73732

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/JTP73732YDUVRUPQCAQDRJ22QK \
  | 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: 4cdffdff7ac0e958d1f0102038a75a8282f6e79248956a3452d1638ed0e8dee3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1d92040dd53bb0891a6d9a180b80e8acefb571dd48233c89c31d2156ff2ab75",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-06-28T20:13:59Z",
    "title_canon_sha256": "519834321404f07ea6bda2fb71b3e797ce28c9b581420b343f0d2239aa65655f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.00060",
    "kind": "arxiv",
    "version": 1
  }
}