Pith Number

pith:4JP7IZFT

pith:2013:4JP7IZFTPNHV47L3UEF5PKXG4Q

not attested not anchored not stored refs pending

Chaotic Characteristics of Discrete-time Linear Inclusion Dynamical Systems

Mingqing Xiao, Tingwen Huang, Xiongping Dai, Yu Huang

arxiv:1307.3818 v1 · 2013-07-15 · cs.SY · 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{4JP7IZFTPNHV47L3UEF5PKXG4Q}

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	2026-05-18T03:18:27.823272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e25ff464b37b4f5e7d7ba10bd7aae6e40ee792217b1018f68457a4f54895016b

Aliases

arxiv: 1307.3818 · arxiv_version: 1307.3818v1 · doi: 10.48550/arxiv.1307.3818 · pith_short_12: 4JP7IZFTPNHV · pith_short_16: 4JP7IZFTPNHV47L3 · pith_short_8: 4JP7IZFT

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/4JP7IZFTPNHV47L3UEF5PKXG4Q \
  | 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: e25ff464b37b4f5e7d7ba10bd7aae6e40ee792217b1018f68457a4f54895016b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "432a86eadbdf0748516df364f369cfcd090695a5a56f2511c8e17bb7b116eb8e",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2013-07-15T05:13:03Z",
    "title_canon_sha256": "939240abb8d36b309ec62e4afcd6889872c2e5290d4753f1e1ceabace36b95e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3818",
    "kind": "arxiv",
    "version": 1
  }
}