Pith Number

pith:WUG4ZT35

pith:2017:WUG4ZT35RJPYHM3U4APAQ2NBHH

not attested not anchored not stored refs pending

Hausdorff operators on modulation and Wiener amalgam spaces

Dashan Fan, Guoping Zhao, Weichao Guo

arxiv:1709.08282 v1 · 2017-09-24 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WUG4ZT35RJPYHM3U4APAQ2NBHH}

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	2026-05-18T00:00:45.939895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b50dcccf7d8a5f83b374e01e0869a139cf224bb2619ebd1f9d3cf04883d36964

Aliases

arxiv: 1709.08282 · arxiv_version: 1709.08282v1 · doi: 10.48550/arxiv.1709.08282 · pith_short_12: WUG4ZT35RJPY · pith_short_16: WUG4ZT35RJPYHM3U · pith_short_8: WUG4ZT35

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/WUG4ZT35RJPYHM3U4APAQ2NBHH \
  | 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: b50dcccf7d8a5f83b374e01e0869a139cf224bb2619ebd1f9d3cf04883d36964

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62c1b663172c6ce0dde6585f0a465118fc9d0d6942bc4fa951c2f1142908b4bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-09-24T23:15:28Z",
    "title_canon_sha256": "335e59bdb258835631c8aabb0d09a4b8ae1452560a24bcc599cf69e4064326d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08282",
    "kind": "arxiv",
    "version": 1
  }
}