Pith. sign in
Pith Number

pith:OWYXMF4D

pith:2024:OWYXMF4D4EWQPYAFA5GSCRYXIH
not attested not anchored not stored refs pending

Gradient regularity for $(s,p)$-harmonic functions

Frank Duzaar, Giovanni Molica Bisci, Naian Liao, Raffaella Servadei, Verena B\"ogelein

arxiv:2409.02012 v1 · 2024-09-03 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{OWYXMF4D4EWQPYAFA5GSCRYXIH}

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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

3 papers in Pith

Receipt and verification
First computed 2026-07-05T09:02:37.369713Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

75b1761783e12d07e005074d21471741d61ce1d01507facc817677761d181215

Aliases

arxiv: 2409.02012 · arxiv_version: 2409.02012v1 · doi: 10.48550/arxiv.2409.02012 · pith_short_12: OWYXMF4D4EWQ · pith_short_16: OWYXMF4D4EWQPYAF · pith_short_8: OWYXMF4D
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/OWYXMF4D4EWQPYAFA5GSCRYXIH \
  | 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: 75b1761783e12d07e005074d21471741d61ce1d01507facc817677761d181215
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b726628021027b9bf9fa606fbcc3659ecfa4bf311eca96236b0f66bd30924d13",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-09-03T16:02:15Z",
    "title_canon_sha256": "b0f49e0b52333cc9d367dc3c301a6e39e381fb415487ae7d7a339799ac2d57a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.02012",
    "kind": "arxiv",
    "version": 1
  }
}