Pith Number

pith:LO4UZ4SP

pith:2018:LO4UZ4SPL7MMLQEP5ZK5GEWR5W

not attested not anchored not stored refs pending

Pseudo-differential operators on $\mathbb{Z}^n$ with applications to discrete fractional integral operators

Duv\'an Cardona

arxiv:1803.00231 v3 · 2018-03-01 · 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{LO4UZ4SPL7MMLQEP5ZK5GEWR5W}

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	2026-05-17T23:55:59.405721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bb94cf24f5fd8c5c08fee55d312d1edb9278ec7613cff20ad83e0e41a8688f5

Aliases

arxiv: 1803.00231 · arxiv_version: 1803.00231v3 · doi: 10.48550/arxiv.1803.00231 · pith_short_12: LO4UZ4SPL7MM · pith_short_16: LO4UZ4SPL7MMLQEP · pith_short_8: LO4UZ4SP

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/LO4UZ4SPL7MMLQEP5ZK5GEWR5W \
  | 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: 5bb94cf24f5fd8c5c08fee55d312d1edb9278ec7613cff20ad83e0e41a8688f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac0e3fbed85c277b58722d27eb112cf95b3ac58124d4dae49a554fb46fbbd60f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-03-01T06:32:51Z",
    "title_canon_sha256": "993d15bd0c6b50fd20bbeb414684b93ef7eb1e3f0831efcf9fd695d5e19191d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.00231",
    "kind": "arxiv",
    "version": 3
  }
}