Pith Number

pith:E2CRYYQC

pith:2012:E2CRYYQCYWDOOIEYDXLV7MY6WS

not attested not anchored not stored refs pending

Occupation times of refracted L\'evy processes

Andreas E. Kyprianou, J.C. Pardo, J.L. P\'erez

arxiv:1205.0756 v1 · 2012-05-03 · 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{E2CRYYQCYWDOOIEYDXLV7MY6WS}

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	2026-05-18T03:56:25.007631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26851c6202c586e720981dd75fb31eb4927777337bb42a1f74cfc96796816a29

Aliases

arxiv: 1205.0756 · arxiv_version: 1205.0756v1 · doi: 10.48550/arxiv.1205.0756 · pith_short_12: E2CRYYQCYWDO · pith_short_16: E2CRYYQCYWDOOIEY · pith_short_8: E2CRYYQC

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/E2CRYYQCYWDOOIEYDXLV7MY6WS \
  | 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: 26851c6202c586e720981dd75fb31eb4927777337bb42a1f74cfc96796816a29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "027b715bd1e7109583e7d695d3a190a5e1624041c212b36ba2fab7d47addd0f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-05-03T16:27:19Z",
    "title_canon_sha256": "2ba2eebb2264804dbf3b5d48c9db95d97d4f20c520f203f73fb5c1a5fcdea211"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0756",
    "kind": "arxiv",
    "version": 1
  }
}