Pith Number

pith:UJQZ4RIB

pith:2018:UJQZ4RIBEYLTVAWEOLF6U6GAIR

not attested not anchored not stored refs pending

A weighted transplantation theorem for Jacobi coefficients

Alberto Arenas, Edgar Labarga, \'Oscar Ciaurri

arxiv:1812.08422 v1 · 2018-12-20 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UJQZ4RIBEYLTVAWEOLF6U6GAIR}

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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.

Cited by

1 paper in Pith

Discrete Harmonic Analysis associated with Jacobi expansions III: the Littlewood-Paley-Stein $g_{k}$-functions and the Laplace type multipliers

Receipt and verification

First computed	2026-05-17T23:57:50.020983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2619e450126173a82c472cbea78c0444260c343e9dcd1324b953354127f94fd

Aliases

arxiv: 1812.08422 · arxiv_version: 1812.08422v1 · doi: 10.48550/arxiv.1812.08422 · pith_short_12: UJQZ4RIBEYLT · pith_short_16: UJQZ4RIBEYLTVAWE · pith_short_8: UJQZ4RIB

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/UJQZ4RIBEYLTVAWEOLF6U6GAIR \
  | 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: a2619e450126173a82c472cbea78c0444260c343e9dcd1324b953354127f94fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0379201243e4cbed0457fa22e314da73f21eccf349b34c54a1fab5b36e4ee8e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-12-20T08:46:22Z",
    "title_canon_sha256": "c8ac8ada7d14612e54761e45403a1b9b7b6eab52a9e0f228fe712bfeb692846d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08422",
    "kind": "arxiv",
    "version": 1
  }
}