Pith Number

pith:22MAEREJ

pith:2017:22MAEREJW2TQQAELNWECYOUBYO

not attested not anchored not stored refs pending

Tempered distributions and Fourier transform on the Heisenberg group

Hajer Bahouri (LAMA), Jean-Yves Chemin (LJLL), Raphael Danchin

arxiv:1705.02195 v1 · 2017-05-05 · math.FA · 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{22MAEREJW2TQQAELNWECYOUBYO}

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	2026-05-18T00:45:00.441283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d698024489b6a708008b6d882c3a81c3af2a3222507407b0dd3c71ec88534051

Aliases

arxiv: 1705.02195 · arxiv_version: 1705.02195v1 · doi: 10.48550/arxiv.1705.02195 · pith_short_12: 22MAEREJW2TQ · pith_short_16: 22MAEREJW2TQQAEL · pith_short_8: 22MAEREJ

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/22MAEREJW2TQQAELNWECYOUBYO \
  | 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: d698024489b6a708008b6d882c3a81c3af2a3222507407b0dd3c71ec88534051

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8688c6d0438cb19544a9ebb5154d72d3d8b1833d8db1c175f17c1d9928a31682",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-05-05T12:48:48Z",
    "title_canon_sha256": "215896b8900d4ff8afe32327afc4595a3407ed154b79c1d58c146340c572a128"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02195",
    "kind": "arxiv",
    "version": 1
  }
}