Pith Number

pith:RUIAGEU6

pith:2015:RUIAGEU6225WLEYPDTKC55XVCA

not attested not anchored not stored refs pending

Matrix weighted norm inequalities for commutators and paraproducts with matrix symbols

Hyun-Kyoung Kwon, Joshua Isralowitz, Sandra Pott

arxiv:1507.04032 v2 · 2015-07-14 · 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{RUIAGEU6225WLEYPDTKC55XVCA}

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	2026-05-18T00:40:33.851220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d1003129ed6bb65930f1cd42ef6f5101a61c1f5ee6fc70bed391e6a8f1b3051

Aliases

arxiv: 1507.04032 · arxiv_version: 1507.04032v2 · doi: 10.48550/arxiv.1507.04032 · pith_short_12: RUIAGEU6225W · pith_short_16: RUIAGEU6225WLEYP · pith_short_8: RUIAGEU6

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/RUIAGEU6225WLEYPDTKC55XVCA \
  | 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: 8d1003129ed6bb65930f1cd42ef6f5101a61c1f5ee6fc70bed391e6a8f1b3051

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e88fe098904e1bb6e897146c1b3058be4b448a49dda88da5307d66301ba89007",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-07-14T21:29:00Z",
    "title_canon_sha256": "8c98909434d23c36ea9e7356cb58fb8e286691a732555ac28f436ba58d16949a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04032",
    "kind": "arxiv",
    "version": 2
  }
}