Pith Number

pith:PXZKIMYB

pith:2015:PXZKIMYBA7QF2PTLZEISWQS43J

not attested not anchored not stored refs pending

SU(2), Associated Laguerre Polynomials and Rigged Hilbert Spaces

Enrico Celeghini, Manuel Gadella, Mariano A. del Olmo

arxiv:1504.01572 v2 · 2015-04-07 · math-ph · math.GR · 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{PXZKIMYBA7QF2PTLZEISWQS43J}

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	2026-05-18T00:19:09.210074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7df2a4330107e05d3e6bc9112b425cda466996769c4a2c9acb7616e477344e3a

Aliases

arxiv: 1504.01572 · arxiv_version: 1504.01572v2 · doi: 10.48550/arxiv.1504.01572 · pith_short_12: PXZKIMYBA7QF · pith_short_16: PXZKIMYBA7QF2PTL · pith_short_8: PXZKIMYB

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/PXZKIMYBA7QF2PTLZEISWQS43J \
  | 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: 7df2a4330107e05d3e6bc9112b425cda466996769c4a2c9acb7616e477344e3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7602d5c6eccc2d605fedaea4654590035e39dd75d518c93b4793616feb47c604",
    "cross_cats_sorted": [
      "math.GR",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-04-07T12:16:55Z",
    "title_canon_sha256": "5e3192fd1e2246ab8c892ff90fe1d7bb020a6fd8c1c6676fa947af11bda71751"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01572",
    "kind": "arxiv",
    "version": 2
  }
}