Pith Number

pith:7U6DYT4M

pith:2015:7U6DYT4MURNTZMTI5WWKXIBK52

not attested not anchored not stored refs pending

Sharp weighted norm estimates beyond Calder\'on-Zygmund theory

Dorothee Frey, Fr\'ed\'eric Bernicot, Stefanie Petermichl

arxiv:1510.00973 v1 · 2015-10-04 · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7U6DYT4MURNTZMTI5WWKXIBK52}

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	2026-05-18T01:10:09.918040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd3c3c4f8ca45b3cb268edacaba02aee94af7f7c3af2f9fc61893f7173567c0e

Aliases

arxiv: 1510.00973 · arxiv_version: 1510.00973v1 · doi: 10.48550/arxiv.1510.00973 · pith_short_12: 7U6DYT4MURNT · pith_short_16: 7U6DYT4MURNTZMTI · pith_short_8: 7U6DYT4M

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/7U6DYT4MURNTZMTI5WWKXIBK52 \
  | 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: fd3c3c4f8ca45b3cb268edacaba02aee94af7f7c3af2f9fc61893f7173567c0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6310148c3a1b081fcca18e1854839218178599c09f3c777b9bdd5fb36631d95",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-10-04T19:56:09Z",
    "title_canon_sha256": "abd92fbef57872a2909f114b1104709450a788af7d1038462c6ba5623c1d1058"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00973",
    "kind": "arxiv",
    "version": 1
  }
}