Pith Number

pith:CQ5LGZAY

pith:2013:CQ5LGZAYTVTC5OI7FFSFDQV2R2

not attested not anchored not stored refs pending

Boundedness of Pseudodifferential Operators on Banach Function Spaces

Alexei Yu. Karlovich

arxiv:1309.0328 v1 · 2013-09-02 · math.FA · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CQ5LGZAYTVTC5OI7FFSFDQV2R2}

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	2026-05-18T03:14:27.578065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

143ab364189d662eb91f296451c2ba8e908f1d6d331439dfea6bafbf8cddab8a

Aliases

arxiv: 1309.0328 · arxiv_version: 1309.0328v1 · doi: 10.48550/arxiv.1309.0328 · pith_short_12: CQ5LGZAYTVTC · pith_short_16: CQ5LGZAYTVTC5OI7 · pith_short_8: CQ5LGZAY

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/CQ5LGZAYTVTC5OI7FFSFDQV2R2 \
  | 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: 143ab364189d662eb91f296451c2ba8e908f1d6d331439dfea6bafbf8cddab8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d86b208d199b1bb2944b0fba92c7dffc8f74925a5029b09f9062a087b152367",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-09-02T09:11:00Z",
    "title_canon_sha256": "262e54e8be8fa4835bde078001a1378a4d76dd87ac23ba99e11f3a735119367a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0328",
    "kind": "arxiv",
    "version": 1
  }
}