Pith Number

pith:DKN2BUQC

pith:2016:DKN2BUQCODUAP45Y7BSXDMVH7U

not attested not anchored not stored refs pending

First hitting time of the boundary of a wedge of angle $\pi/4$ by a radial Dunkl process

Nizar Demni

arxiv:1607.02077 v2 · 2016-07-07 · math.PR · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DKN2BUQCODUAP45Y7BSXDMVH7U}

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	2026-05-18T01:10:58.767103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a9ba0d20270e807f3b8f86571b2a7fd100a9c42d625c8d386476df980fba16e

Aliases

arxiv: 1607.02077 · arxiv_version: 1607.02077v2 · doi: 10.48550/arxiv.1607.02077 · pith_short_12: DKN2BUQCODUA · pith_short_16: DKN2BUQCODUAP45Y · pith_short_8: DKN2BUQC

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/DKN2BUQCODUAP45Y7BSXDMVH7U \
  | 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: 1a9ba0d20270e807f3b8f86571b2a7fd100a9c42d625c8d386476df980fba16e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "406b46f94a1617fab5dc3ea81e87ec95e69f97db79b0842de9a17180cceee5e9",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-07-07T16:48:29Z",
    "title_canon_sha256": "5a1d18f6ec771f4d868c584450b547005b9742a5389060c58d4ba1f12718e80c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02077",
    "kind": "arxiv",
    "version": 2
  }
}