Pith Number

pith:7LFBX52W

pith:2026:7LFBX52WLYXXIBKS4Q7YEHTKXA

not attested not anchored not stored refs pending

Trigonometric bases in noncommutative $L_p(\mathbb{T}^d_\theta)$ spaces and associated partial sum operators

B. Ozbekbay, F. Sukochev, K. Tulenov

arxiv:2606.19360 v1 · 2026-06-03 · math.OA · 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{7LFBX52WLYXXIBKS4Q7YEHTKXA}

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	2026-06-19T16:12:23.138954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

faca1bf7565e2f740552e43f821e6ab836a92dbb959f02e103d663589c2c6dc4

Aliases

arxiv: 2606.19360 · arxiv_version: 2606.19360v1 · doi: 10.48550/arxiv.2606.19360 · pith_short_12: 7LFBX52WLYXX · pith_short_16: 7LFBX52WLYXXIBKS · pith_short_8: 7LFBX52W

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/7LFBX52WLYXXIBKS4Q7YEHTKXA \
  | 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: faca1bf7565e2f740552e43f821e6ab836a92dbb959f02e103d663589c2c6dc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7150b9a639142ad67a0f1e8a2776cd6111f9c2460950c107072cf5ffe94e9eef",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2026-06-03T04:22:45Z",
    "title_canon_sha256": "851ae204bec0f1f960893585e4202e39ef6a6670abd90620755ae979a85269c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19360",
    "kind": "arxiv",
    "version": 1
  }
}