pith. sign in
Pith Number

pith:ZQWSPZD5

pith:2012:ZQWSPZD5JDKN2JMRSXI2I54XL3
not attested not anchored not stored refs pending

Sharp bounds for $t$-Haar multipliers on $L^2$

Jean Carlo Moraes, Maria Cristina Pereyra, Oleksandra Beznosova

arxiv:1212.3749 v1 · 2012-12-16 · math.FA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZQWSPZD5JDKN2JMRSXI2I54XL3}

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 2026-05-18T02:56:52.135217Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

cc2d27e47d48d4dd259195d1a477975ecca4cc22c3bc09223a01a22d53b591cb

Aliases

arxiv: 1212.3749 · arxiv_version: 1212.3749v1 · doi: 10.48550/arxiv.1212.3749 · pith_short_12: ZQWSPZD5JDKN · pith_short_16: ZQWSPZD5JDKN2JMR · pith_short_8: ZQWSPZD5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZQWSPZD5JDKN2JMRSXI2I54XL3 \
  | 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: cc2d27e47d48d4dd259195d1a477975ecca4cc22c3bc09223a01a22d53b591cb
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3d1535d668823d9363f59943f3152a070289cce7492f8ccb90922a2e88806ade",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-12-16T03:54:03Z",
    "title_canon_sha256": "28fd0d3b8e59e8191a420a39365c323d110fe8feb8a6a122dedd672444a4ae8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3749",
    "kind": "arxiv",
    "version": 1
  }
}