Pith Number

pith:GIU4PWQQ

pith:2024:GIU4PWQQ7A37EZKOVHEGBXMLMU

not attested not anchored not stored refs pending

On generalized Sobolev-Orlicz spaces associated to the Riesz fractional gradient

Pedro Miguel Campos

arxiv:2412.06346 v1 · 2024-12-09 · math.AP

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\usepackage{pith}
\pithnumber{GIU4PWQQ7A37EZKOVHEGBXMLMU}

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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

1 paper in Pith

Generalized Sobolev-Orlicz spaces based on the Riesz fractional gradient as interpolation and potential spaces

Receipt and verification

First computed	2026-07-05T09:46:19.447444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3229c7da10f837f2654ea9c860dd8b6506b30344afe6325eef728a5274c864a4

Aliases

arxiv: 2412.06346 · arxiv_version: 2412.06346v1 · doi: 10.48550/arxiv.2412.06346 · pith_short_12: GIU4PWQQ7A37 · pith_short_16: GIU4PWQQ7A37EZKO · pith_short_8: GIU4PWQQ

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/GIU4PWQQ7A37EZKOVHEGBXMLMU \
  | 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: 3229c7da10f837f2654ea9c860dd8b6506b30344afe6325eef728a5274c864a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2688a8e588dd6999edfd0b1a3b9a3dc2f564eaa4304046e862e05082fa167503",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-09T09:55:45Z",
    "title_canon_sha256": "963c38bc0814e5db0bcfa014da543cde5f5251b221df5472b9cd3bc08bf1500c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.06346",
    "kind": "arxiv",
    "version": 1
  }
}