Pith Number

pith:YBRFJST6

pith:2006:YBRFJST6DUW4HFUKZF5FBAZ2VQ

not attested not anchored not stored refs pending

Unimodular Fourier multipliers for modulation spaces

Arpad Benyi, Karlheinz Gr\"ochenig, Kasso Okoudjou, Luke Rogers

arxiv:math/0609097 v1 · 2006-09-04 · 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{YBRFJST6DUW4HFUKZF5FBAZ2VQ}

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	2026-05-18T04:23:32.580665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c06254ca7e1d2dc3968ac97a50833aac03c69ca4369bf2986b3e0834e41ceb9e

Aliases

arxiv: math/0609097 · arxiv_version: math/0609097v1 · doi: 10.48550/arxiv.math/0609097 · pith_short_12: YBRFJST6DUW4 · pith_short_16: YBRFJST6DUW4HFUK · pith_short_8: YBRFJST6

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/YBRFJST6DUW4HFUKZF5FBAZ2VQ \
  | 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: c06254ca7e1d2dc3968ac97a50833aac03c69ca4369bf2986b3e0834e41ceb9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30e8570e4a3a732dc5b22d989b394ca2dce520d4e591006e64948794121a1627",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2006-09-04T12:59:27Z",
    "title_canon_sha256": "00bec7f0b26b34d52c1dc9e25fc464e66a8d0d37134aa02fe54a544cf97a0ee2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609097",
    "kind": "arxiv",
    "version": 1
  }
}