Pith Number

pith:ZK4ALRCN

pith:2015:ZK4ALRCN4E4TMR4SRF43VIW7BR

not attested not anchored not stored refs pending

L\'evy Processes For Finance: An Introduction In R

D.J. Manuge

arxiv:1503.03902 v1 · 2015-03-12 · stat.AP · q-fin.CP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZK4ALRCN4E4TMR4SRF43VIW7BR}

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.

Cited by

1 paper in Pith

Existence of Invariant Probability Measures for Stochastic Differential Equations with Finite Time Delay

Receipt and verification

First computed	2026-05-18T02:23:57.843715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cab805c44de1393647928979baa2df0c68241121e7617f061e45a6c27c18d335

Aliases

arxiv: 1503.03902 · arxiv_version: 1503.03902v1 · doi: 10.48550/arxiv.1503.03902 · pith_short_12: ZK4ALRCN4E4T · pith_short_16: ZK4ALRCN4E4TMR4S · pith_short_8: ZK4ALRCN

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/ZK4ALRCN4E4TMR4SRF43VIW7BR \
  | 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: cab805c44de1393647928979baa2df0c68241121e7617f061e45a6c27c18d335

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da9c0ada761a2496c97f16001994207407c517d777831798e238e3199ad01e09",
    "cross_cats_sorted": [
      "q-fin.CP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.AP",
    "submitted_at": "2015-03-12T22:11:04Z",
    "title_canon_sha256": "64a7862c247dfc03fcfa98718ac430c03cdab3a89658e5507e1901f6541b9452"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03902",
    "kind": "arxiv",
    "version": 1
  }
}