Pith Number

pith:5BYKFXLN

pith:2016:5BYKFXLNSMBQ2S4H5WDWNDO2TL

not attested not anchored not stored refs pending

Weighted vector-valued bounds for the singular integral operators with nonsmooth kernels

Guoen Hu

arxiv:1607.05586 v2 · 2016-07-19 · 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{5BYKFXLNSMBQ2S4H5WDWNDO2TL}

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	2026-05-18T00:57:37.668228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e870a2dd6d93030d4b87ed87668dda9addf0a88c056b371581be5ac71c501064

Aliases

arxiv: 1607.05586 · arxiv_version: 1607.05586v2 · doi: 10.48550/arxiv.1607.05586 · pith_short_12: 5BYKFXLNSMBQ · pith_short_16: 5BYKFXLNSMBQ2S4H · pith_short_8: 5BYKFXLN

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/5BYKFXLNSMBQ2S4H5WDWNDO2TL \
  | 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: e870a2dd6d93030d4b87ed87668dda9addf0a88c056b371581be5ac71c501064

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0952fe1fb05b057970b2d848f6d0596a9cbf270717e345d32186e6464bed198",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-07-19T14:02:32Z",
    "title_canon_sha256": "193d9381d889287b3daac4605f39ccf460ced371a0de7253a15f28cbcea98e9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05586",
    "kind": "arxiv",
    "version": 2
  }
}