Pith Number

pith:73JP4LUC

pith:2026:73JP4LUCHRTH22XZY6MN2MJEW4

not attested not anchored not stored refs pending

Bounds for the maximal and Riesz potential operators with variable fractionality

Francisco Gon\c{c}alves, Tuomas Oikari

arxiv:2607.01069 v1 · 2026-07-01 · 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{73JP4LUCHRTH22XZY6MN2MJEW4}

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	2026-07-02T01:18:27.864228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fed2fe2e823c667d6af9c798dd3124b711daa9619d758bc7be8f59f3e3c2d78d

Aliases

arxiv: 2607.01069 · arxiv_version: 2607.01069v1 · doi: 10.48550/arxiv.2607.01069 · pith_short_12: 73JP4LUCHRTH · pith_short_16: 73JP4LUCHRTH22XZ · pith_short_8: 73JP4LUC

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/73JP4LUCHRTH22XZY6MN2MJEW4 \
  | 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: fed2fe2e823c667d6af9c798dd3124b711daa9619d758bc7be8f59f3e3c2d78d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97b7bfe986e4def586249741a9efbe23892d77394056c16c0c3c8f02625f6a07",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-07-01T15:29:40Z",
    "title_canon_sha256": "9ee979f8ac6f7dd3d6dc669c908ed5668fb8f18a84ab506211d069b3c782825b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01069",
    "kind": "arxiv",
    "version": 1
  }
}