Pith Number

pith:YBUT6PGH

pith:2011:YBUT6PGHJ5EDWYT2VD5ICYEFEK

not attested not anchored not stored refs pending

Extended Factorizations of Exponential Functionals of L\'evy Processes

Mladen Savov, Pierre Patie

arxiv:1107.0655 v1 · 2011-07-04 · 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{YBUT6PGHJ5EDWYT2VD5ICYEFEK}

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	2026-05-18T04:18:53.632284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0693f3cc74f483b627aa8fa81608522ac6a88846fa9eff307d7fbd4592790ca

Aliases

arxiv: 1107.0655 · arxiv_version: 1107.0655v1 · doi: 10.48550/arxiv.1107.0655 · pith_short_12: YBUT6PGHJ5ED · pith_short_16: YBUT6PGHJ5EDWYT2 · pith_short_8: YBUT6PGH

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/YBUT6PGHJ5EDWYT2VD5ICYEFEK \
  | 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: c0693f3cc74f483b627aa8fa81608522ac6a88846fa9eff307d7fbd4592790ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "255a01de90ae23bc67263866988406936abfcba53e4705132b4ed72ae9ef5961",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-04T15:28:17Z",
    "title_canon_sha256": "45dcee0f182bf5ab98d0f4969a5f28888e419e8ddc1415f013acdd1ae1f93767"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0655",
    "kind": "arxiv",
    "version": 1
  }
}