Pith Number

pith:OFYAPISV

pith:2011:OFYAPISVHN4N5A3U55SNZZEVG7

not attested not anchored not stored refs pending

Weighted Norm Inequalities for One-sided Oscillatory Integral Operators

Shanzhen Lu, Shaoguang Shi, Zunwei Fu

arxiv:1106.0826 v1 · 2011-06-04 · 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{OFYAPISVHN4N5A3U55SNZZEVG7}

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	2026-05-18T04:20:37.355476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

717007a2553b78de8374ef64dce49537d1994752cd9750206a9d320be0a38312

Aliases

arxiv: 1106.0826 · arxiv_version: 1106.0826v1 · doi: 10.48550/arxiv.1106.0826 · pith_short_12: OFYAPISVHN4N · pith_short_16: OFYAPISVHN4N5A3U · pith_short_8: OFYAPISV

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/OFYAPISVHN4N5A3U55SNZZEVG7 \
  | 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: 717007a2553b78de8374ef64dce49537d1994752cd9750206a9d320be0a38312

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9aa2db756b5df2e0121ee1080229dfc9da6c0ba090040a9307bcca55d279476d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-06-04T14:04:11Z",
    "title_canon_sha256": "687136e702a20cf730ce7660215a6d12478bced491fc4cf5a39d59fa4db24a95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0826",
    "kind": "arxiv",
    "version": 1
  }
}