Pith Number

pith:K4LER2TG

pith:2015:K4LER2TG5OSVNSG2H46MNFFL42

not attested not anchored not stored refs pending

A two weight theorem for fractional singular integrals with an energy side condition, quasicube testing and common point masses

Chun-Yen Shen, Eric T. Sawyer, Ignacio Uriarte-Tuero

arxiv:1505.07816 v3 · 2015-05-28 · 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{K4LER2TG5OSVNSG2H46MNFFL42}

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	2026-05-18T01:17:00.745775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

571648ea66eba556c8da3f3cc694abe6bcccceef0daad7dd4eace94bb377027d

Aliases

arxiv: 1505.07816 · arxiv_version: 1505.07816v3 · doi: 10.48550/arxiv.1505.07816 · pith_short_12: K4LER2TG5OSV · pith_short_16: K4LER2TG5OSVNSG2 · pith_short_8: K4LER2TG

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/K4LER2TG5OSVNSG2H46MNFFL42 \
  | 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: 571648ea66eba556c8da3f3cc694abe6bcccceef0daad7dd4eace94bb377027d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c2db0b461b7843aad36332821162fc131156e1a65d53d8b79607caceb045ed8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-05-28T19:33:01Z",
    "title_canon_sha256": "fa7739222bb656a0fcfa17ca0b14b16af213b08ed3a32ca54262e1f83a1a37bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07816",
    "kind": "arxiv",
    "version": 3
  }
}