Pith Number

pith:NN6BYE6A

pith:2015:NN6BYE6AI3QLKP3VDVJFOIBMKB

not attested not anchored not stored refs pending

Quantitative weighted estimates for rough homogeneous singular integrals

L. Roncal, Olli Tapiola, Tuomas P. Hyt\"onen

arxiv:1510.05789 v1 · 2015-10-20 · 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{NN6BYE6AI3QLKP3VDVJFOIBMKB}

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	2026-05-18T01:29:39.659727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b7c1c13c046e0b53f751d5257202c5069ac11f6bbb20ef277429370767a831f

Aliases

arxiv: 1510.05789 · arxiv_version: 1510.05789v1 · doi: 10.48550/arxiv.1510.05789 · pith_short_12: NN6BYE6AI3QL · pith_short_16: NN6BYE6AI3QLKP3V · pith_short_8: NN6BYE6A

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/NN6BYE6AI3QLKP3VDVJFOIBMKB \
  | 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: 6b7c1c13c046e0b53f751d5257202c5069ac11f6bbb20ef277429370767a831f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42812a3f2e297cfe79f089460cdfe8f466f6d70d30d171a8e66c7f27c2fd8e33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-10-20T08:31:48Z",
    "title_canon_sha256": "6d63db5a1c18974a854fa88e4cc30e3a4fdd16f02156cb8d2eff1dececfbeac7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05789",
    "kind": "arxiv",
    "version": 1
  }
}