Pith Number

pith:OYYJ4OL3

pith:2017:OYYJ4OL37RBKF4GHYGGVB27TLY

not attested not anchored not stored refs pending

Weak type (1,1) estimates for inverses of discrete rough singular integral operators

Jacek Zienkiewicz, Maciej Paluszynski

arxiv:1707.03597 v2 · 2017-07-12 · 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{OYYJ4OL37RBKF4GHYGGVB27TLY}

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	2026-05-18T00:31:02.644036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76309e397bfc42a2f0c7c18d50ebf35e1f1a34178de8eae5ecd405f0c67167f6

Aliases

arxiv: 1707.03597 · arxiv_version: 1707.03597v2 · doi: 10.48550/arxiv.1707.03597 · pith_short_12: OYYJ4OL37RBK · pith_short_16: OYYJ4OL37RBKF4GH · pith_short_8: OYYJ4OL3

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/OYYJ4OL37RBKF4GHYGGVB27TLY \
  | 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: 76309e397bfc42a2f0c7c18d50ebf35e1f1a34178de8eae5ecd405f0c67167f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa9092992d67d1ea40eeddae2e32bf17f34b2354331fcc71f8231486f6480c52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-07-12T08:38:23Z",
    "title_canon_sha256": "76f53acb0ed25e162c8e6da68c1cd01dc298fd74af68c78bff457f15b2faa6ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03597",
    "kind": "arxiv",
    "version": 2
  }
}