Pith Number

pith:WFSE5GSC

pith:2014:WFSE5GSCIQKLKRSLNZB6W45A4O

not attested not anchored not stored refs pending

Gabor analysis for a broad class of quasi-Banach modulation spaces

Joachim Toft

arxiv:1404.0758 v3 · 2014-04-03 · 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{WFSE5GSCIQKLKRSLNZB6W45A4O}

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	2026-05-18T02:43:18.934440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1644e9a424414b5464b6e43eb73a0e3b5dd1bb9688e137a5cff53c86451ec43

Aliases

arxiv: 1404.0758 · arxiv_version: 1404.0758v3 · doi: 10.48550/arxiv.1404.0758 · pith_short_12: WFSE5GSCIQKL · pith_short_16: WFSE5GSCIQKLKRSL · pith_short_8: WFSE5GSC

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/WFSE5GSCIQKLKRSLNZB6W45A4O \
  | 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: b1644e9a424414b5464b6e43eb73a0e3b5dd1bb9688e137a5cff53c86451ec43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7756f6d45bae85851003354587f8ea4f6fa5c175f8bdb56a76d56f3267f887da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-04-03T03:49:48Z",
    "title_canon_sha256": "edd3120c34b1e76b6d69a9cd1dbd2188143e477526684eaa19c52ce2b77cd863"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.0758",
    "kind": "arxiv",
    "version": 3
  }
}