Pith Number

pith:Q7QRWXAK

pith:2026:Q7QRWXAKVU4QCWYPRCNRH3YFH2

not attested not anchored not stored refs pending

Positive Toeplitz operators on pluriharmonic Fock space: Schatten class criteria and sharp norm comparisons

Sam Looi

arxiv:2608.13550 v1 · 2026-08-13 · 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{Q7QRWXAKVU4QCWYPRCNRH3YFH2}

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	2026-08-14T01:25:02.874999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87e11b5c0aad39015b0f889b13ef053e840f5cad76c2ad34988737dbf4eb8e6c

Aliases

arxiv: 2608.13550 · arxiv_version: 2608.13550v1 · doi: 10.48550/arxiv.2608.13550 · pith_short_12: Q7QRWXAKVU4Q · pith_short_16: Q7QRWXAKVU4QCWYP · pith_short_8: Q7QRWXAK

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/Q7QRWXAKVU4QCWYPRCNRH3YFH2 \
  | 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: 87e11b5c0aad39015b0f889b13ef053e840f5cad76c2ad34988737dbf4eb8e6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a3e420be027733a55ff3fbd4d902dd124ea4a9468c7c65cf92543ba5765f69e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-08-13T17:59:28Z",
    "title_canon_sha256": "328f83b5da73d645963147b4c80c928cac1b52a036335a1ea38c2791d16b898b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.13550",
    "kind": "arxiv",
    "version": 1
  }
}