Pith Number

pith:TXQOBSYH

pith:2019:TXQOBSYH3JGMFDIONKXGRLJQAM

not attested not anchored not stored refs pending

Discrete Harmonic Analysis associated with Jacobi expansions II: the Riesz transform

Alberto Arenas, Edgar Labarga, \'Oscar Ciaurri

arxiv:1902.01761 v1 · 2019-02-05 · 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{TXQOBSYH3JGMFDIONKXGRLJQAM}

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	2026-05-17T23:54:46.810553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9de0e0cb07da4cc28d0e6aae68ad30032c81cdb7010711a969ca1cd09bc1aa97

Aliases

arxiv: 1902.01761 · arxiv_version: 1902.01761v1 · doi: 10.48550/arxiv.1902.01761 · pith_short_12: TXQOBSYH3JGM · pith_short_16: TXQOBSYH3JGMFDIO · pith_short_8: TXQOBSYH

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/TXQOBSYH3JGMFDIONKXGRLJQAM \
  | 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: 9de0e0cb07da4cc28d0e6aae68ad30032c81cdb7010711a969ca1cd09bc1aa97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbdee32cde365e82d696aa9cb345769d9c6b530c9606c823322b03b3479268af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-02-05T16:08:16Z",
    "title_canon_sha256": "df9a1b8060eca7ff2456f9f7ef4b4860e68eba4cfdf1777afabe6ffecff5a806"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.01761",
    "kind": "arxiv",
    "version": 1
  }
}