Pith Number

pith:O2J7LY27

pith:2016:O2J7LY27D7GAZUUCZ4CRNJCUUI

not attested not anchored not stored refs pending

Differentiability properties of Riesz potentials of finite measures and non-doubling Calder\'on-Zygmund theory

Joan Verdera, Juli\`a Cuf\'i

arxiv:1605.03388 v3 · 2016-05-11 · 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{O2J7LY27D7GAZUUCZ4CRNJCUUI}

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	2026-05-17T23:57:15.995897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7693f5e35f1fcc0cd282cf0516a454a207b747b84fa85cb417800eba4da4ea60

Aliases

arxiv: 1605.03388 · arxiv_version: 1605.03388v3 · doi: 10.48550/arxiv.1605.03388 · pith_short_12: O2J7LY27D7GA · pith_short_16: O2J7LY27D7GAZUUC · pith_short_8: O2J7LY27

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/O2J7LY27D7GAZUUCZ4CRNJCUUI \
  | 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: 7693f5e35f1fcc0cd282cf0516a454a207b747b84fa85cb417800eba4da4ea60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eca96e00a3bb8f2a24aa306d2962f0cd649e8fe448462e75a465c5da79cdcc0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-05-11T11:38:13Z",
    "title_canon_sha256": "8e80171f165fe5317339cea4821894b0f9b080dc5fda724c367d5560e29b4da5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03388",
    "kind": "arxiv",
    "version": 3
  }
}