Pith Number

pith:Z7G6SMYC

pith:2016:Z7G6SMYCPJRFMP7XOI46P5B6TB

not attested not anchored not stored refs pending

Littlewood-Paley formulas and Carleson measures for weighted Fock spaces induced by $A_\infty$-type weights

Carme Cascante, Joan F\`abrega, Jos\'e A. Pel\'aez

arxiv:1612.07458 v1 · 2016-12-22 · math.FA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z7G6SMYCPJRFMP7XOI46P5B6TB}

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	2026-05-18T00:54:09.969939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfcde933027a62563ff77239e7f43e987c523d664b509ba2864b0697073a30fe

Aliases

arxiv: 1612.07458 · arxiv_version: 1612.07458v1 · doi: 10.48550/arxiv.1612.07458 · pith_short_12: Z7G6SMYCPJRF · pith_short_16: Z7G6SMYCPJRFMP7X · pith_short_8: Z7G6SMYC

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/Z7G6SMYCPJRFMP7XOI46P5B6TB \
  | 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: cfcde933027a62563ff77239e7f43e987c523d664b509ba2864b0697073a30fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c55d428053085eaf8131ed51d94695fec1018d2d601adab0bb6249d8565fd71",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-12-22T06:32:03Z",
    "title_canon_sha256": "4f8c06a4c65458e45f15c0e7b7664bf1a32494119827c006f25cb1729b3ac5db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07458",
    "kind": "arxiv",
    "version": 1
  }
}