Pith Number

pith:IA3J6CRY

pith:2014:IA3J6CRYHN2IXFYRBKXMOURQ7X

not attested not anchored not stored refs pending

Nonuniform dichotomy spectrum and reducibility for nonautonomous difference equations

Hailong Zhu, Jifeng Chu, Stefan Siegmund, Yonghui Xia

arxiv:1402.1599 v1 · 2014-02-07 · 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{IA3J6CRYHN2IXFYRBKXMOURQ7X}

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	2026-05-18T02:59:46.698132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40369f0a383b748b97110aaec75230fdfb86b5380450f83a65703f40aae19947

Aliases

arxiv: 1402.1599 · arxiv_version: 1402.1599v1 · doi: 10.48550/arxiv.1402.1599 · pith_short_12: IA3J6CRYHN2I · pith_short_16: IA3J6CRYHN2IXFYR · pith_short_8: IA3J6CRY

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/IA3J6CRYHN2IXFYRBKXMOURQ7X \
  | 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: 40369f0a383b748b97110aaec75230fdfb86b5380450f83a65703f40aae19947

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb4ecf5fa57a7b716bc87780052507291036772ff8d5cbac6d8ed178c91a1fa0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-02-07T10:53:01Z",
    "title_canon_sha256": "286faaaa455148ab9f7b619afa8708a940c67892e133149b72c9a4a2f7820a4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.1599",
    "kind": "arxiv",
    "version": 1
  }
}