Pith Number

pith:JQKZ6XWD

pith:2016:JQKZ6XWDEYDCLB75TBO3LFP4JT

not attested not anchored not stored refs pending

Joint law of the hitting time, overshoot and undershoot for a L\'evy process

Laure Coutin, Waly Ngom

arxiv:1603.02506 v1 · 2016-03-08 · 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{JQKZ6XWDEYDCLB75TBO3LFP4JT}

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	2026-05-18T01:19:23.051547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c159f5ec326062587fd985db595fc4cf71e04b966145d00f6fe185d75031d46

Aliases

arxiv: 1603.02506 · arxiv_version: 1603.02506v1 · doi: 10.48550/arxiv.1603.02506 · pith_short_12: JQKZ6XWDEYDC · pith_short_16: JQKZ6XWDEYDCLB75 · pith_short_8: JQKZ6XWD

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/JQKZ6XWDEYDCLB75TBO3LFP4JT \
  | 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: 4c159f5ec326062587fd985db595fc4cf71e04b966145d00f6fe185d75031d46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cca789e317d1d0cd36a04102c2d183fa23d960ce214d977156a39717bdad1aab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-03-08T12:57:47Z",
    "title_canon_sha256": "e2a1d328615df1bf98571efbea394fd77bb99596313ae82545a5d6150fa2911c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02506",
    "kind": "arxiv",
    "version": 1
  }
}