Pith Number

pith:RWO3JDLG

pith:2012:RWO3JDLGXAB27SAUQTQBYGVISP

not attested not anchored not stored refs pending

Vector-valued extensions for fractional integrals of Laguerre expansions

L. Roncal, \'O. Ciaurri

arxiv:1212.4715 v3 · 2012-12-19 · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RWO3JDLGXAB27SAUQTQBYGVISP}

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	2026-05-18T00:50:23.876658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d9db48d66b803afc81484e01c1aa893f13d3064d9f77624d6697b4d4c4c7f0e

Aliases

arxiv: 1212.4715 · arxiv_version: 1212.4715v3 · doi: 10.48550/arxiv.1212.4715 · pith_short_12: RWO3JDLGXAB2 · pith_short_16: RWO3JDLGXAB27SAU · pith_short_8: RWO3JDLG

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/RWO3JDLGXAB27SAUQTQBYGVISP \
  | 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: 8d9db48d66b803afc81484e01c1aa893f13d3064d9f77624d6697b4d4c4c7f0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41b531c241f081aa9e002db132e922f8649e427a0e3d035bae28f3845c161b4f",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-12-19T15:58:30Z",
    "title_canon_sha256": "3996cbdb284abab4a6e685b8dd387e69335c76aa2f4ecbd55c7d243d36750b38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4715",
    "kind": "arxiv",
    "version": 3
  }
}