Pith Number

pith:TWZKKFK2

pith:2016:TWZKKFK2BADO23C6PBZPRS7SNN

not attested not anchored not stored refs pending

Intertwinings for general $\beta$-Laguerre and $\beta$-Jacobi processes

Theodoros Assiotis

arxiv:1609.03764 v3 · 2016-09-13 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TWZKKFK2BADO23C6PBZPRS7SNN}

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	2026-05-17T23:54:03.404150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9db2a5155a0806ed6c5e7872f8cbf26b5164b1e82b7399402e06665980d31a08

Aliases

arxiv: 1609.03764 · arxiv_version: 1609.03764v3 · doi: 10.48550/arxiv.1609.03764 · pith_short_12: TWZKKFK2BADO · pith_short_16: TWZKKFK2BADO23C6 · pith_short_8: TWZKKFK2

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/TWZKKFK2BADO23C6PBZPRS7SNN \
  | 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: 9db2a5155a0806ed6c5e7872f8cbf26b5164b1e82b7399402e06665980d31a08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e313e6aaf49addc47ecce36f93876f41f8cd0b2726566c33817593148831971",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-09-13T10:55:44Z",
    "title_canon_sha256": "d030591bc2851c83b2e7426b41edfb23095eca5b9300ba3f21fe05949550de88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03764",
    "kind": "arxiv",
    "version": 3
  }
}