Pith Number

pith:F7BEV3FO

pith:2018:F7BEV3FOBSXVX6I33DPMU2YBBW

not attested not anchored not stored refs pending

Wave-front sets in non-quasianalytic setting for Fourier Lebesgue and modulation spaces

Nenad Teofanov

arxiv:1811.01752 v1 · 2018-11-02 · 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{F7BEV3FOBSXVX6I33DPMU2YBBW}

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	2026-05-18T00:01:33.356841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fc24aecae0caf5bf91bd8deca6b010db860d0354db4009a46c073c874ebf6a1

Aliases

arxiv: 1811.01752 · arxiv_version: 1811.01752v1 · doi: 10.48550/arxiv.1811.01752 · pith_short_12: F7BEV3FOBSXV · pith_short_16: F7BEV3FOBSXVX6I3 · pith_short_8: F7BEV3FO

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/F7BEV3FOBSXVX6I33DPMU2YBBW \
  | 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: 2fc24aecae0caf5bf91bd8deca6b010db860d0354db4009a46c073c874ebf6a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b502fdc57ab1e0e39125d4e4301e1ac981d128dbc68e7abd4aa237f491f7e21c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-11-02T12:59:33Z",
    "title_canon_sha256": "cf0d29a141fd1b75afa280472ae029d3d99194d7ded2ff7ca6b98dba636e1ae2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.01752",
    "kind": "arxiv",
    "version": 1
  }
}