Pith Number

pith:YVPU573O

pith:2025:YVPU573O3D6GPX2ROQZXZB5NYP

not attested not anchored not stored refs pending

The intertwining property for $\beta $-Laguerre processes and integral operators for Jack polynomials

Genki Shibukawa, Yosuke Kawamato

arxiv:2505.23139 v1 · 2025-05-29 · 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{YVPU573O3D6GPX2ROQZXZB5NYP}

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	2026-07-05T11:11:56.113655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c55f4eff6ed8fc67df5174337c87adc3f862834b3811d5f2136343b58f4a4582

Aliases

arxiv: 2505.23139 · arxiv_version: 2505.23139v1 · doi: 10.48550/arxiv.2505.23139 · pith_short_12: YVPU573O3D6G · pith_short_16: YVPU573O3D6GPX2R · pith_short_8: YVPU573O

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/YVPU573O3D6GPX2ROQZXZB5NYP \
  | 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: c55f4eff6ed8fc67df5174337c87adc3f862834b3811d5f2136343b58f4a4582

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a5a3124ff893a3c7654a1554b7f39cdbeef524a5c1af0852f75a582aa97ff80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-05-29T06:29:41Z",
    "title_canon_sha256": "30602a5ef63f635d98c32361d4234dbdcdc084335c3fe09727182492971c88a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.23139",
    "kind": "arxiv",
    "version": 1
  }
}