Pith Number

pith:JKZ5VLOT

pith:2010:JKZ5VLOTBB3WMYKP46HZSZH5TY

not attested not anchored not stored refs pending

Regularizations of general singular integral operators

Constanze Liaw, Sergei Treil

arxiv:1010.6184 v2 · 2010-10-29 · 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{JKZ5VLOTBB3WMYKP46HZSZH5TY}

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	2026-05-18T02:55:20.801337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ab3daadd3087766614fe78f9964fd9e30385fd221a29d2789a21acd11169c8b

Aliases

arxiv: 1010.6184 · arxiv_version: 1010.6184v2 · doi: 10.48550/arxiv.1010.6184 · pith_short_12: JKZ5VLOTBB3W · pith_short_16: JKZ5VLOTBB3WMYKP · pith_short_8: JKZ5VLOT

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/JKZ5VLOTBB3WMYKP46HZSZH5TY \
  | 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: 4ab3daadd3087766614fe78f9964fd9e30385fd221a29d2789a21acd11169c8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6225127b6e1446d38c1ff11aacc420f9a535ce1482815b1a2649e89fa1f7ec5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-10-29T11:42:34Z",
    "title_canon_sha256": "e150469577f25de9dc4e5c6f15cad005a721716f38592cc7b42828632e19c084"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.6184",
    "kind": "arxiv",
    "version": 2
  }
}