Pith Number

pith:TDS4FKCE

pith:2015:TDS4FKCEYYEYUS6VZFHOOTWZ7C

not attested not anchored not stored refs pending

Moment Representations of the Exceptional $X_1$-Laguerre Orthogonal Polynomials

Constanze Liaw, John Osborn

arxiv:1506.07580 v1 · 2015-06-24 · math.CA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TDS4FKCEYYEYUS6VZFHOOTWZ7C}

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	2026-05-18T00:33:32.803100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98e5c2a844c6098a4bd5c94ee74ed9f8bd258ec5da071b795d603a6b92b18c3a

Aliases

arxiv: 1506.07580 · arxiv_version: 1506.07580v1 · doi: 10.48550/arxiv.1506.07580 · pith_short_12: TDS4FKCEYYEY · pith_short_16: TDS4FKCEYYEYUS6V · pith_short_8: TDS4FKCE

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/TDS4FKCEYYEYUS6VZFHOOTWZ7C \
  | 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: 98e5c2a844c6098a4bd5c94ee74ed9f8bd258ec5da071b795d603a6b92b18c3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76dc74299f0d9ee1984afa434fb0f2e8bcadf502f61915671365681199c94fa4",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-06-24T22:54:32Z",
    "title_canon_sha256": "27c16c5533a24b91a131c084fc32c268461c9954fb503d01b6e7b565373c1c99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07580",
    "kind": "arxiv",
    "version": 1
  }
}