Pith Number

pith:O2TW7R3Y

pith:2024:O2TW7R3YRN2Y6AJ4B3ORFPBWBK

not attested not anchored not stored refs pending

An FIO-based approach to $L^p$-bounds for the wave equation on $2$-step Carnot groups: the case of M\'etivier groups

Alessio Martini, Detlef M\"uller

arxiv:2406.04315 v2 · 2024-06-06 · math.AP · math.CA

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\usepackage{pith}
\pithnumber{O2TW7R3YRN2Y6AJ4B3ORFPBWBK}

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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.

Cited by

2 papers in Pith

Bochner-Riesz means on the Heisenberg group

Stein's square function associated with the Bochner-Riesz means on M\'etivier groups and its applications

Receipt and verification

First computed	2026-07-05T08:28:42.628182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76a76fc7788b758f013c0edd12bc360a841905433d4de7ff8d6d0bca86cb3241

Aliases

arxiv: 2406.04315 · arxiv_version: 2406.04315v2 · doi: 10.48550/arxiv.2406.04315 · pith_short_12: O2TW7R3YRN2Y · pith_short_16: O2TW7R3YRN2Y6AJ4 · pith_short_8: O2TW7R3Y

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/O2TW7R3YRN2Y6AJ4B3ORFPBWBK \
  | 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: 76a76fc7788b758f013c0edd12bc360a841905433d4de7ff8d6d0bca86cb3241

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d8216aa4dba7f72b01c9dceb45f8e9ce3c63604af4033e9ba75faa951d9dfe3",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-06-06T17:57:17Z",
    "title_canon_sha256": "096c860347d00715df241f83c397ca455a3b7bebf994ddd22f22290d1eebd9cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.04315",
    "kind": "arxiv",
    "version": 2
  }
}