Pith Number

pith:MCJZZFCL

pith:2024:MCJZZFCL3HC3KF6I7LLRHPXTZP

not attested not anchored not stored refs pending

Bilinear singular integral operators with kernels in weighted spaces

Lenka Slav\'ikov\'a, Petr Honz\'ik, Stefanos Lappas

arxiv:2412.07014 v2 · 2024-12-09 · 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{MCJZZFCL3HC3KF6I7LLRHPXTZP}

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	2026-07-05T10:30:27.919607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60939c944bd9c5b517c8fad713bef3cbd339710fdcecf1bc3b8ef6c867fd00d3

Aliases

arxiv: 2412.07014 · arxiv_version: 2412.07014v2 · doi: 10.48550/arxiv.2412.07014 · pith_short_12: MCJZZFCL3HC3 · pith_short_16: MCJZZFCL3HC3KF6I · pith_short_8: MCJZZFCL

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/MCJZZFCL3HC3KF6I7LLRHPXTZP \
  | 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: 60939c944bd9c5b517c8fad713bef3cbd339710fdcecf1bc3b8ef6c867fd00d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c364f30898f9e089fecb553154128148a235da31aa9237f677d43c7a5c3f9f97",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2024-12-09T21:45:22Z",
    "title_canon_sha256": "fd363858a88aa4c1e155001a409f7d8ffd0a0cb9a6cb63fb46fed0b9cfca0eeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.07014",
    "kind": "arxiv",
    "version": 2
  }
}