Pith Number

pith:AMFAZOWO

pith:2017:AMFAZOWOSJEAIWJDRMNLYMLJFS

not attested not anchored not stored refs pending

A lower bound for $A_p$ exponents for some weighted weak-type inequalities

Carlos P\'erez, Israel P. Rivera-R\'ios

arxiv:1710.00933 v1 · 2017-10-02 · 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{AMFAZOWOSJEAIWJDRMNLYMLJFS}

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	2026-05-17T23:52:29.427902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

030a0cbace92480459238b1abc31692c87fdeb2b56d332a38dc9635ded74ce6a

Aliases

arxiv: 1710.00933 · arxiv_version: 1710.00933v1 · doi: 10.48550/arxiv.1710.00933 · pith_short_12: AMFAZOWOSJEA · pith_short_16: AMFAZOWOSJEAIWJD · pith_short_8: AMFAZOWO

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/AMFAZOWOSJEAIWJDRMNLYMLJFS \
  | 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: 030a0cbace92480459238b1abc31692c87fdeb2b56d332a38dc9635ded74ce6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cef0ce752c9d7ef39149e5e57a7ac3822142571277500bf8973949d17d479cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-10-02T22:49:25Z",
    "title_canon_sha256": "af24bbda1ec5a34f8e9c1815ba61a04868062ee98813f31959b552a73eb8a25c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.00933",
    "kind": "arxiv",
    "version": 1
  }
}