Pith Number

pith:P3QJKBOW

pith:2015:P3QJKBOWCKYKU2DVEVZPISDB2Q

not attested not anchored not stored refs pending

Linear Evolution Equations with Cylindrical L\'evy Noise: Gradient Estimates and Exponential Ergodicity

Jian Wang

arxiv:1501.06131 v1 · 2015-01-25 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P3QJKBOWCKYKU2DVEVZPISDB2Q}

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	2026-05-18T02:28:42.281708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ee09505d612b0aa68752572f44861d43ce2e2af5676999f5f222ed9b2fbed83

Aliases

arxiv: 1501.06131 · arxiv_version: 1501.06131v1 · doi: 10.48550/arxiv.1501.06131 · pith_short_12: P3QJKBOWCKYK · pith_short_16: P3QJKBOWCKYKU2DV · pith_short_8: P3QJKBOW

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/P3QJKBOWCKYKU2DVEVZPISDB2Q \
  | 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: 7ee09505d612b0aa68752572f44861d43ce2e2af5676999f5f222ed9b2fbed83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c7d68ebae2968995dbe36ccd77ecb10f255db69ab45b42cdcaa6322b701db0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-01-25T08:44:32Z",
    "title_canon_sha256": "1968443fe72b24413eae82c5cf67c2683e0149fbf6b45edc5ca0889c21f75b51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06131",
    "kind": "arxiv",
    "version": 1
  }
}