Pith Number

pith:DOPAEPEY

pith:2014:DOPAEPEYKKJYWULJ6A7KIIR3MW

not attested not anchored not stored refs pending

Principal Lyapunov exponents and principal Floquet spaces of positive random dynamical systems. III. Parabolic equations and delay systems

Janusz Mierczy\'nski, Wenxian Shen

arxiv:1411.1893 v2 · 2014-11-07 · math.DS · math.AP · 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{DOPAEPEYKKJYWULJ6A7KIIR3MW}

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	2026-05-18T01:08:26.765263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b9e023c9852938b5169f03ea4223b659685f218fb9099ccd658c3d09a02eb4b

Aliases

arxiv: 1411.1893 · arxiv_version: 1411.1893v2 · doi: 10.48550/arxiv.1411.1893 · pith_short_12: DOPAEPEYKKJY · pith_short_16: DOPAEPEYKKJYWULJ · pith_short_8: DOPAEPEY

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/DOPAEPEYKKJYWULJ6A7KIIR3MW \
  | 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: 1b9e023c9852938b5169f03ea4223b659685f218fb9099ccd658c3d09a02eb4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f32bf078cde127925e062948721389ee763f880a2ef80aeaf3b50664fcbac5f7",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-11-07T12:11:39Z",
    "title_canon_sha256": "8a288037d257cd4c0aac651b91034f61be1c94284417167f70c38f4b0447958a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1893",
    "kind": "arxiv",
    "version": 2
  }
}