Pith Number

pith:CDMGG4MU

pith:2017:CDMGG4MU4FE6KJ4YAIDF2HYCOY

not attested not anchored not stored refs pending

Modular inequalities for the maximal operator in variable Lebesgue spaces

Alberto Fiorenza, David Cruz-Uribe, Giovanni Di Fratta

arxiv:1710.05217 v2 · 2017-10-14 · math.CA · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CDMGG4MU4FE6KJ4YAIDF2HYCOY}

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	2026-05-18T00:32:25.374094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10d8637194e149e5279802065d1f02763b330ad4476560f3c47ec740c1d4bedf

Aliases

arxiv: 1710.05217 · arxiv_version: 1710.05217v2 · doi: 10.48550/arxiv.1710.05217 · pith_short_12: CDMGG4MU4FE6 · pith_short_16: CDMGG4MU4FE6KJ4Y · pith_short_8: CDMGG4MU

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/CDMGG4MU4FE6KJ4YAIDF2HYCOY \
  | 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: 10d8637194e149e5279802065d1f02763b330ad4476560f3c47ec740c1d4bedf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c2749dacd56d2c37966c71c5903fa0d05354e261cc46c48cabb55fb74aa70d7",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-10-14T17:55:07Z",
    "title_canon_sha256": "a59311ec2ef2f9d475ce4ddb1eeab78c7926c80b4feebb4644e9273447ba19d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05217",
    "kind": "arxiv",
    "version": 2
  }
}