Pith Number

pith:LINEDEQI

pith:2011:LINEDEQIV5BMXQ3K23I6VOIFGI

not attested not anchored not stored refs pending

Weighted estimates for dyadic paraproducts and t-Haar multipiers with complexity (m,n)

Jean Carlo Moraes, Mar\'ia Cristina Pereyra

arxiv:1108.3109 v4 · 2011-08-15 · 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{LINEDEQIV5BMXQ3K23I6VOIFGI}

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	2026-05-18T03:19:46.321368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a1a419208af42cbc36ad6d1eab905320e714b70031617c90754c224e8eee27d

Aliases

arxiv: 1108.3109 · arxiv_version: 1108.3109v4 · doi: 10.48550/arxiv.1108.3109 · pith_short_12: LINEDEQIV5BM · pith_short_16: LINEDEQIV5BMXQ3K · pith_short_8: LINEDEQI

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/LINEDEQIV5BMXQ3K23I6VOIFGI \
  | 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: 5a1a419208af42cbc36ad6d1eab905320e714b70031617c90754c224e8eee27d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "855ddf33a0753727839ddd0ff53a340a72c86f77b7e0fbd4868c446ccc30a2f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-08-15T22:33:03Z",
    "title_canon_sha256": "c7821cd1c1b93e47ba39a819bf4dec3a7607d3d199b0d8b4ab37be1eca9c8cac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3109",
    "kind": "arxiv",
    "version": 4
  }
}