Pith Number

pith:QHATOIZB

pith:2015:QHATOIZBI44OHIP6WSZ5HN6437

not attested not anchored not stored refs pending

On a counterexample related to weighted weak type estimates for singular integrals

Andrei K. Lerner, Marcela Caldarelli, Sheldy Ombrosi

arxiv:1506.08317 v1 · 2015-06-27 · 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{QHATOIZBI44OHIP6WSZ5HN6437}

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	2026-05-18T01:37:46.812671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81c13723214738e3a1feb4b3d3b7dcdfcf4c2315d11fc8f347c1d3b5693d5c3d

Aliases

arxiv: 1506.08317 · arxiv_version: 1506.08317v1 · doi: 10.48550/arxiv.1506.08317 · pith_short_12: QHATOIZBI44O · pith_short_16: QHATOIZBI44OHIP6 · pith_short_8: QHATOIZB

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/QHATOIZBI44OHIP6WSZ5HN6437 \
  | 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: 81c13723214738e3a1feb4b3d3b7dcdfcf4c2315d11fc8f347c1d3b5693d5c3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d143e270f0d978331effb36896e1a2ad87abc44718b073ccc178761298707040",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-06-27T17:55:20Z",
    "title_canon_sha256": "a67394aac69e9c54f6e264a03c64d7434d8944e19f9dea24e492d967025e690b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08317",
    "kind": "arxiv",
    "version": 1
  }
}