Pith Number

pith:WRICYQA7

pith:2017:WRICYQA7XVH4Z3T3VPFAPGGEJE

not attested not anchored not stored refs pending

Group theoretical aspects of $L^2(\mathbb{R}^+)$, $L^2(\mathbb{R}^2)$ and associated Laguerre polynomials

E. Celeghini, M.A. del Olmo

arxiv:1702.02003 v1 · 2017-02-07 · 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{WRICYQA7XVH4Z3T3VPFAPGGEJE}

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	2026-05-18T00:51:10.623656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4502c401fbd4fccee7babca0798c4492fb3daf393d8d6b3482e7c2030ae8968

Aliases

arxiv: 1702.02003 · arxiv_version: 1702.02003v1 · doi: 10.48550/arxiv.1702.02003 · pith_short_12: WRICYQA7XVH4 · pith_short_16: WRICYQA7XVH4Z3T3 · pith_short_8: WRICYQA7

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/WRICYQA7XVH4Z3T3VPFAPGGEJE \
  | 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: b4502c401fbd4fccee7babca0798c4492fb3daf393d8d6b3482e7c2030ae8968

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5b2b46f5e3513f6992bbb5ed61eafc297fd3150fda335b4008544024759238f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-02-07T13:27:23Z",
    "title_canon_sha256": "7da7383e0e01a61a714c9104db58cf851eccba614cd0dd3711cccf4b116e99f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02003",
    "kind": "arxiv",
    "version": 1
  }
}