Pith Number

pith:DZHVMVBD

pith:2018:DZHVMVBDXF7JUHAXW7VR6HPPTM

not attested not anchored not stored refs pending

An Extension of the Beurling-Chen-Hadwin-Shen Theorem for Noncommutative Hardy Spaces Associated with Finite von Neumann Algebras

Don Hadwin, Haihui Fan, Wenjing Liu

arxiv:1801.05300 v1 · 2018-01-14 · 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{DZHVMVBDXF7JUHAXW7VR6HPPTM}

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	2026-05-18T00:25:47.293565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e4f565423b97e9a1c17b7eb1f1def9b2123484d65b9e70f40dd7abc80b9fdd4

Aliases

arxiv: 1801.05300 · arxiv_version: 1801.05300v1 · doi: 10.48550/arxiv.1801.05300 · pith_short_12: DZHVMVBDXF7J · pith_short_16: DZHVMVBDXF7JUHAX · pith_short_8: DZHVMVBD

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/DZHVMVBDXF7JUHAXW7VR6HPPTM \
  | 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: 1e4f565423b97e9a1c17b7eb1f1def9b2123484d65b9e70f40dd7abc80b9fdd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da52d4d24594b887dcec716afc97a08306f1a5f9a083bd7d3f4d5ca07b44be67",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-01-14T01:49:54Z",
    "title_canon_sha256": "65aadf07c8397a3d2618cd50a85d8a86282d55ded80a155d40333a4e87249b8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.05300",
    "kind": "arxiv",
    "version": 1
  }
}