Pith Number

pith:C6HSSI7K

pith:2017:C6HSSI7KLYBDPMUDOX5WPS7AG5

not attested not anchored not stored refs pending

On Bloom type estimates for iterated commutators of fractional integrals

Israel P. Rivera-R\'ios, Javier C. Mart\'inez-Perales, Natalia Accomazzo

arxiv:1712.06923 v1 · 2017-12-19 · 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{C6HSSI7KLYBDPMUDOX5WPS7AG5}

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	2026-05-18T00:27:37.719147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

178f2923ea5e0237b28375fb67cbe0374b4e2fe9435f46e72e9698761b4cd3ff

Aliases

arxiv: 1712.06923 · arxiv_version: 1712.06923v1 · doi: 10.48550/arxiv.1712.06923 · pith_short_12: C6HSSI7KLYBD · pith_short_16: C6HSSI7KLYBDPMUD · pith_short_8: C6HSSI7K

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/C6HSSI7KLYBDPMUDOX5WPS7AG5 \
  | 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: 178f2923ea5e0237b28375fb67cbe0374b4e2fe9435f46e72e9698761b4cd3ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b19531437b99c0be5160843da1616951c0f35154576a84c688c73c59324d794e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-12-19T13:43:36Z",
    "title_canon_sha256": "58206c43fd2f5390fdaec6450479cb6ac08f880f7e811cf9be6c82bc5eac7a03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.06923",
    "kind": "arxiv",
    "version": 1
  }
}