Pith. sign in
Pith Number

pith:YFCCYB4S

pith:2025:YFCCYB4SQOW4BDPDFIL62QODMK
not attested not anchored not stored refs pending

Weighted Besov spaces on Heisenberg groups and applications to the Parabolic Anderson model

Che-Hung Huang, Cheng Ouyang, Fabrice Baudoin, Jing Wang, Li Chen, Samy Tindel

arxiv:2501.04593 v1 · 2025-01-08 · math.PR · math.FA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YFCCYB4SQOW4BDPDFIL62QODMK}

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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

Receipt and verification
First computed 2026-07-05T09:58:37.906115Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c1442c079283adc08de32a17ed41c3629b19acf70f483da89e2828191be4af47

Aliases

arxiv: 2501.04593 · arxiv_version: 2501.04593v1 · doi: 10.48550/arxiv.2501.04593 · pith_short_12: YFCCYB4SQOW4 · pith_short_16: YFCCYB4SQOW4BDPD · pith_short_8: YFCCYB4S
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YFCCYB4SQOW4BDPDFIL62QODMK \
  | 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: c1442c079283adc08de32a17ed41c3629b19acf70f483da89e2828191be4af47
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "cb9f79d258de47e5acbec9c68f81cd8922708be776e7ff1e7b64fed5c0843c6c",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-01-08T16:16:20Z",
    "title_canon_sha256": "5a217b2c0bea0ecc290501232d9dde3482a993c6dc624ccf67b115f8476cd5c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.04593",
    "kind": "arxiv",
    "version": 1
  }
}