Pith Number

pith:EP23MGFK

pith:2017:EP23MGFKNJ36KCBKW3G2AXE6GX

not attested not anchored not stored refs pending

When do triple operator integrals take value in the trace class?

Christian Le Merdy, Cl\'ement Coine, Fedor Sukochev

arxiv:1706.01662 v3 · 2017-06-06 · 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{EP23MGFKNJ36KCBKW3G2AXE6GX}

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.

Cited by

1 paper in Pith

Complete boundedness of multiple operator integrals

Receipt and verification

First computed	2026-07-05T01:17:15.070950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23f5b618aa6a77e5082ab6cda05c9e35fc4f0649c34cbbfc4bf568242e413520

Aliases

arxiv: 1706.01662 · arxiv_version: 1706.01662v3 · doi: 10.48550/arxiv.1706.01662 · pith_short_12: EP23MGFKNJ36 · pith_short_16: EP23MGFKNJ36KCBK · pith_short_8: EP23MGFK

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/EP23MGFKNJ36KCBKW3G2AXE6GX \
  | 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: 23f5b618aa6a77e5082ab6cda05c9e35fc4f0649c34cbbfc4bf568242e413520

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f18beb062eed870f70fec827c119e3953a825d7b4439c08d2b875d80c2dc159",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-06-06T08:59:50Z",
    "title_canon_sha256": "ef7feae4d9b9e27caa3d673cc17d584495976d51eb5b52e73315af5e36ea7f20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.01662",
    "kind": "arxiv",
    "version": 3
  }
}