Pith Number

pith:KOA7OOID

pith:2018:KOA7OOIDJJWNABF7J3JAVNNSZK

not attested not anchored not stored refs pending

The weak type $(1,p)$ for convolution operators on locally compact groups

Duv\'an Cardona

arxiv:1803.02413 v1 · 2018-03-06 · 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{KOA7OOIDJJWNABF7J3JAVNNSZK}

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	2026-05-18T00:21:50.365887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5381f739034a6cd004bf4ed20ab5b2caa3c9189f428eaa91eccc85df1419fd71

Aliases

arxiv: 1803.02413 · arxiv_version: 1803.02413v1 · doi: 10.48550/arxiv.1803.02413 · pith_short_12: KOA7OOIDJJWN · pith_short_16: KOA7OOIDJJWNABF7 · pith_short_8: KOA7OOID

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/KOA7OOIDJJWNABF7J3JAVNNSZK \
  | 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: 5381f739034a6cd004bf4ed20ab5b2caa3c9189f428eaa91eccc85df1419fd71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cf941ca4d355b5fdc763ed75a8744230fcd4e54a9a07eb50cf941bbe0beee7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-03-06T20:20:44Z",
    "title_canon_sha256": "611df49130c87a0162a60c0704df8e35eb20d48a7d04ed620b5f8e459deae385"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02413",
    "kind": "arxiv",
    "version": 1
  }
}