Pith Number

pith:FPYEUO3Z

pith:2017:FPYEUO3ZJGXIJI45GCIXJXY2NX

not attested not anchored not stored refs pending

Moments and ergodicity of the jump-diffusion CIR process

Barbara R\"udiger, Jonas Kremer, Peng Jin

arxiv:1709.00969 v2 · 2017-09-04 · 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{FPYEUO3ZJGXIJI45GCIXJXY2NX}

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	2026-05-18T00:25:34.022203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bf04a3b7949ae84a39d309174df1a6dd91f5fdfce29e0daf78f59bfca468f90

Aliases

arxiv: 1709.00969 · arxiv_version: 1709.00969v2 · doi: 10.48550/arxiv.1709.00969 · pith_short_12: FPYEUO3ZJGXI · pith_short_16: FPYEUO3ZJGXIJI45 · pith_short_8: FPYEUO3Z

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/FPYEUO3ZJGXIJI45GCIXJXY2NX \
  | 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: 2bf04a3b7949ae84a39d309174df1a6dd91f5fdfce29e0daf78f59bfca468f90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f888f0d8503c2c39bab1f5c61559207c987ca75521b1ddf86fd85b2b7ebbd5ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-09-04T14:07:11Z",
    "title_canon_sha256": "661a501b849c99b4f9d7fa3e014658281124a02d3d22d5531c48ce191b6bb057"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.00969",
    "kind": "arxiv",
    "version": 2
  }
}