Pith Number

pith:KRI2UEUG

pith:2016:KRI2UEUGA3SMYIHBIP656NOC7S

not attested not anchored not stored refs pending

Lyapunov exponents, sensitivity, and stability for non-autonomous discrete systems

Hao Zhu, Hua Shao, Yuming Shi

arxiv:1603.05457 v1 · 2016-03-17 · 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{KRI2UEUGA3SMYIHBIP656NOC7S}

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	2026-05-18T01:18:56.283485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5451aa128606e4cc20e143fddf35c2fc8e7f37c77f678e22ef0d4f913be46ed4

Aliases

arxiv: 1603.05457 · arxiv_version: 1603.05457v1 · doi: 10.48550/arxiv.1603.05457 · pith_short_12: KRI2UEUGA3SM · pith_short_16: KRI2UEUGA3SMYIHB · pith_short_8: KRI2UEUG

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/KRI2UEUGA3SMYIHBIP656NOC7S \
  | 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: 5451aa128606e4cc20e143fddf35c2fc8e7f37c77f678e22ef0d4f913be46ed4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a194040bf7e376c6a55faf904ce8d7df1491697042196b0bea0978b32e6b8667",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-03-17T12:42:09Z",
    "title_canon_sha256": "351e207b8e741adc0d4dbce800859234237cf1271a49b6f0977c1517bd341e57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05457",
    "kind": "arxiv",
    "version": 1
  }
}