Pith Number

pith:QLHWIH54

pith:2016:QLHWIH54V2UJ7CSW2M6UFQ3W7R

not attested not anchored not stored refs pending

Fourier multipliers and group von Neumann algebras

Michael Ruzhansky, Rauan Akylzhanov

arxiv:1605.07868 v1 · 2016-05-25 · 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{QLHWIH54V2UJ7CSW2M6UFQ3W7R}

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	2026-05-18T00:48:54.523868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82cf641fbcaea89f8a56d33d42c376fc5b4396da2294c0e8283a7fe047923096

Aliases

arxiv: 1605.07868 · arxiv_version: 1605.07868v1 · doi: 10.48550/arxiv.1605.07868 · pith_short_12: QLHWIH54V2UJ · pith_short_16: QLHWIH54V2UJ7CSW · pith_short_8: QLHWIH54

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/QLHWIH54V2UJ7CSW2M6UFQ3W7R \
  | 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: 82cf641fbcaea89f8a56d33d42c376fc5b4396da2294c0e8283a7fe047923096

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1e748d493a04a666c49537b6777ae1315118adb47aa915ebd5d18ec17a3c11b",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-05-25T13:11:46Z",
    "title_canon_sha256": "08b14f7aecfaf39f95a5f755fad69f62372518a26079703af7be002f99bd2dd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.07868",
    "kind": "arxiv",
    "version": 1
  }
}