Pith Number

pith:UUIJVGO3

pith:2009:UUIJVGO3576QCIWOSEW4Y6XFAJ

not attested not anchored not stored refs pending

Some applications of duality for L\'evy processes in a half-line

DMA), Jean Bertoin (PMA, Mladen Savov

arxiv:0912.0131 v1 · 2009-12-01 · 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{UUIJVGO3576QCIWOSEW4Y6XFAJ}

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	2026-05-18T02:58:02.594243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5109a99dbeffd0122ce912dcc7ae5025ea5eeea456e5697afc424fb10e84820

Aliases

arxiv: 0912.0131 · arxiv_version: 0912.0131v1 · doi: 10.48550/arxiv.0912.0131 · pith_short_12: UUIJVGO3576Q · pith_short_16: UUIJVGO3576QCIWO · pith_short_8: UUIJVGO3

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/UUIJVGO3576QCIWOSEW4Y6XFAJ \
  | 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: a5109a99dbeffd0122ce912dcc7ae5025ea5eeea456e5697afc424fb10e84820

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64c73ffae94f089261960f13d05e40e1a0a50fdb37cfee3f3ba14c603fe180c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-12-01T12:04:23Z",
    "title_canon_sha256": "5540d3ff8329f7a490b6048eb7c348877a316d82af7756b397f172a168af4a5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0131",
    "kind": "arxiv",
    "version": 1
  }
}