Pith Number

pith:22ATGPFG

pith:2014:22ATGPFGIUTEATJJNAYZD35M5P

not attested not anchored not stored refs pending

Sharp weighted bounds for one-sided and multiple integral operators

Alexander Meskhi, Muhammad Asad Zaighum, Vakhtang Kokilashvili

arxiv:1403.0372 v1 · 2014-03-03 · 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{22ATGPFGIUTEATJJNAYZD35M5P}

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	2026-05-18T02:57:25.073072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d681333ca64526404d29683191efacebfcedd11b8780c6e9051c7407bf746a6d

Aliases

arxiv: 1403.0372 · arxiv_version: 1403.0372v1 · doi: 10.48550/arxiv.1403.0372 · pith_short_12: 22ATGPFGIUTE · pith_short_16: 22ATGPFGIUTEATJJ · pith_short_8: 22ATGPFG

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/22ATGPFGIUTEATJJNAYZD35M5P \
  | 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: d681333ca64526404d29683191efacebfcedd11b8780c6e9051c7407bf746a6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "825bc6090918d1230a5cd5b65482d2582605fdce5669f6410a1c25ba68ca4834",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-03-03T10:27:15Z",
    "title_canon_sha256": "d8e43e921e3fe89f4c63127446a044cbfac236c2aa2b3b654350653e4eeecfa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0372",
    "kind": "arxiv",
    "version": 1
  }
}