Pith Number

pith:O3V2U7HN

pith:2019:O3V2U7HNT677S45DFFNFVIAP5S

not attested not anchored not stored refs pending

Nonuniform Mean-square Exponential Dichotomies and Mean-square Exponential Stability

Hailong Zhu, Li Chen, Xiuli He

arxiv:1902.03687 v1 · 2019-02-11 · 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{O3V2U7HNT677S45DFFNFVIAP5S}

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	2026-05-17T23:54:19.888590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76ebaa7ced9fbff973a3295a5aa00fec86b88a88b82eb4ea97a33a3d992ef0c7

Aliases

arxiv: 1902.03687 · arxiv_version: 1902.03687v1 · doi: 10.48550/arxiv.1902.03687 · pith_short_12: O3V2U7HNT677 · pith_short_16: O3V2U7HNT677S45D · pith_short_8: O3V2U7HN

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/O3V2U7HNT677S45DFFNFVIAP5S \
  | 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: 76ebaa7ced9fbff973a3295a5aa00fec86b88a88b82eb4ea97a33a3d992ef0c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1042a52ec1e18b0b22029fe4a4e6e9a5f5438ebcbdecede9aadadfe5a6ddb57a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-02-11T00:08:09Z",
    "title_canon_sha256": "78c50e1f7ace0729a619f8cc6a3b5eb108ae3be609a672f6924e4f2391a94ff5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.03687",
    "kind": "arxiv",
    "version": 1
  }
}