Pith Number

pith:TRRTWNKU

pith:2016:TRRTWNKUHRPK7GRKYDJNTG5OZO

not attested not anchored not stored refs pending

A two weight fractional singular integral theorem with side conditions, energy and k-energy dispersed

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

arxiv:1603.04332 v2 · 2016-03-14 · 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{TRRTWNKUHRPK7GRKYDJNTG5OZO}

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	2026-05-18T01:16:59.418149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c633b35543c5eaf9a2ac0d2d99baecba87df20efa6afa3bacc87237f71f0eb4

Aliases

arxiv: 1603.04332 · arxiv_version: 1603.04332v2 · doi: 10.48550/arxiv.1603.04332 · pith_short_12: TRRTWNKUHRPK · pith_short_16: TRRTWNKUHRPK7GRK · pith_short_8: TRRTWNKU

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/TRRTWNKUHRPK7GRKYDJNTG5OZO \
  | 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: 9c633b35543c5eaf9a2ac0d2d99baecba87df20efa6afa3bacc87237f71f0eb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e694a0f74a4e522c6116b341a5bed693a54994d031026f83b221aa37f437c702",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-03-14T16:36:11Z",
    "title_canon_sha256": "6be3d3475e27fd7824bac3266187d810c9fa1a5a7cd60d95289e4e5b204aab4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04332",
    "kind": "arxiv",
    "version": 2
  }
}