Pith Number

pith:HWKYOVFA

pith:2026:HWKYOVFAQSZUZ5RPHG2DHVKVUT

not attested not anchored not stored refs pending

Generalized Bessel-Dunkl diffusions

Jacek Ma{\l}ecki

arxiv:2605.23529 v1 · 2026-05-22 · 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{HWKYOVFAQSZUZ5RPHG2DHVKVUT}

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	2026-05-25T02:01:59.476245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d958754a084b34cf62f39b433d555a4fcb56f56d312adf8a48a91028949d7de

Aliases

arxiv: 2605.23529 · arxiv_version: 2605.23529v1 · doi: 10.48550/arxiv.2605.23529 · pith_short_12: HWKYOVFAQSZU · pith_short_16: HWKYOVFAQSZUZ5RP · pith_short_8: HWKYOVFA

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/HWKYOVFAQSZUZ5RPHG2DHVKVUT \
  | 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: 3d958754a084b34cf62f39b433d555a4fcb56f56d312adf8a48a91028949d7de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bc9c82a86358b2a40cc69563b52c4e0c386714788cb4a60fcea58b5f2a7de46",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-05-22T11:47:16Z",
    "title_canon_sha256": "bdcc0a4ce5082518d18743e4f49ab7dfaf0ec31b2cca4fbf0475369fd8ae0cba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23529",
    "kind": "arxiv",
    "version": 1
  }
}