Pith Number

pith:46P7RGE5

pith:2017:46P7RGE5YVI5SFLL2ZBGGY6ZXA

not attested not anchored not stored refs pending

Off-diagonal sharp two-weight estimates for sparse operators

Stephan Fackler, Tuomas P. Hyt\"onen

arxiv:1711.08274 v3 · 2017-11-22 · 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{46P7RGE5YVI5SFLL2ZBGGY6ZXA}

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	2026-05-18T00:26:17.913058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e79ff8989dc551d9156bd6426363d9b816772576b86d1c4e9772d23890527112

Aliases

arxiv: 1711.08274 · arxiv_version: 1711.08274v3 · doi: 10.48550/arxiv.1711.08274 · pith_short_12: 46P7RGE5YVI5 · pith_short_16: 46P7RGE5YVI5SFLL · pith_short_8: 46P7RGE5

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/46P7RGE5YVI5SFLL2ZBGGY6ZXA \
  | 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: e79ff8989dc551d9156bd6426363d9b816772576b86d1c4e9772d23890527112

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eabc0db182f8b28e00aba34f38edb4db205bdb7e72ba90db1b03e5aa88de5ff0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-11-22T13:34:40Z",
    "title_canon_sha256": "e87d78be1deeb9253842831cb388f4374b9417ec229d9ef0d65104d4cb537c90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.08274",
    "kind": "arxiv",
    "version": 3
  }
}