Pith Number

pith:CDK7R3V4

pith:2015:CDK7R3V4ISAYC4VW7AXPM4Q6QI

not attested not anchored not stored refs pending

Coupling and exponential ergodicity for stochastic differential equations driven by L\'{e}vy processes

Mateusz B. Majka

arxiv:1509.08816 v3 · 2015-09-29 · 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{CDK7R3V4ISAYC4VW7AXPM4Q6QI}

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	2026-05-18T00:45:22.628796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10d5f8eebc44818172b6f82ef6721e820a48e3bc2441d721b2548f404f6d69b8

Aliases

arxiv: 1509.08816 · arxiv_version: 1509.08816v3 · doi: 10.48550/arxiv.1509.08816 · pith_short_12: CDK7R3V4ISAY · pith_short_16: CDK7R3V4ISAYC4VW · pith_short_8: CDK7R3V4

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/CDK7R3V4ISAYC4VW7AXPM4Q6QI \
  | 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: 10d5f8eebc44818172b6f82ef6721e820a48e3bc2441d721b2548f404f6d69b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87373e2ddfa93fcb8baaa87fa3e57a800f50e1a2600466512d588d55a37198e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-29T15:45:58Z",
    "title_canon_sha256": "8528ce7d7a96898ae182fbe492bcfcc9d46b692958be475809c66b3351fbfc79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08816",
    "kind": "arxiv",
    "version": 3
  }
}