Pith Number

pith:73PGC4QX

pith:2013:73PGC4QXEXZNX5QLYYU2YG733U

not attested not anchored not stored refs pending

Classification of the Asymptotic Behaviour of Globally Stable Linear Differential Equations with Respect to State-independent Stochastic Perturbations

Alexandra Rodkina, Jian Cheng, John A. D. Appleby

arxiv:1310.2345 v1 · 2013-10-09 · math.PR · 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{73PGC4QXEXZNX5QLYYU2YG733U}

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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	2026-05-18T03:10:57.233285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fede61721725f2dbf60bc629ac1bfbdd356abbb5afe2950b17dc3be85beefc1b

Aliases

arxiv: 1310.2345 · arxiv_version: 1310.2345v1 · doi: 10.48550/arxiv.1310.2345 · pith_short_12: 73PGC4QXEXZN · pith_short_16: 73PGC4QXEXZNX5QL · pith_short_8: 73PGC4QX

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/73PGC4QXEXZNX5QLYYU2YG733U \
  | 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: fede61721725f2dbf60bc629ac1bfbdd356abbb5afe2950b17dc3be85beefc1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68b87a9c6221d5d65e385e888a1f83065ed0319dbdbe2e445f2599eaf22f728f",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-10-09T04:57:30Z",
    "title_canon_sha256": "5989d4415f4994c09ae966b4bca1fc1538551ee1cc256fbf1938651071046859"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2345",
    "kind": "arxiv",
    "version": 1
  }
}