Pith Number

pith:OV7PUJUM

pith:2012:OV7PUJUMKG74YPUZVEQLL5FW2M

not attested not anchored not stored refs pending

Equivalent definitions of dyadic Muckenhoupt and Reverse H\"older classes in terms of Carleson sequences, weak classes, and comparability of dyadic $L\log L$ and $A_\infty$ constants

Alexander Reznikov, Oleksandra Beznosova

arxiv:1201.0520 v1 · 2012-01-02 · 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{OV7PUJUMKG74YPUZVEQLL5FW2M}

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	2026-05-18T04:05:17.333359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

757efa268c51bfcc3e99a920b5f4b6d3017485fa674c428526199132d886e75c

Aliases

arxiv: 1201.0520 · arxiv_version: 1201.0520v1 · doi: 10.48550/arxiv.1201.0520 · pith_short_12: OV7PUJUMKG74 · pith_short_16: OV7PUJUMKG74YPUZ · pith_short_8: OV7PUJUM

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/OV7PUJUMKG74YPUZVEQLL5FW2M \
  | 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: 757efa268c51bfcc3e99a920b5f4b6d3017485fa674c428526199132d886e75c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84e249aa0c7d70a53ad75e20e1e2a9b16f57f2f11e7e4bda06fd0e755eea9992",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-01-02T19:28:51Z",
    "title_canon_sha256": "9fa9e9d4da34fa8126ece3a1b3fd9d2d3a49989ea9af49ad9fd8b2b82640332b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0520",
    "kind": "arxiv",
    "version": 1
  }
}