Pith Number

pith:OWZ7J6DQ

pith:2024:OWZ7J6DQQ4OBNDI32XWBPFTVBL

not attested not anchored not stored refs pending

Hardy perturbations of subordinated Bessel heat kernels

Konstantin Merz, Krzysztof Bogdan, Tomasz Jakubowski

arxiv:2409.02853 v1 · 2024-09-04 · math.AP · math-ph · math.FA · math.MP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OWZ7J6DQQ4OBNDI32XWBPFTVBL}

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.

Cited by

1 paper in Pith

Sharp upper bounds for the density of relativistic atoms: Noninteracting case

Receipt and verification

First computed	2026-07-05T09:03:11.326049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75b3f4f870871c168d1bd5ec1796750add1d4e3b4353a35115b7259366baca44

Aliases

arxiv: 2409.02853 · arxiv_version: 2409.02853v1 · doi: 10.48550/arxiv.2409.02853 · pith_short_12: OWZ7J6DQQ4OB · pith_short_16: OWZ7J6DQQ4OBNDI3 · pith_short_8: OWZ7J6DQ

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/OWZ7J6DQQ4OBNDI32XWBPFTVBL \
  | 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: 75b3f4f870871c168d1bd5ec1796750add1d4e3b4353a35115b7259366baca44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a80046b83adb227059191da4f27949824a79d6ecacf6d3b8de797794d1da047e",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-09-04T16:23:35Z",
    "title_canon_sha256": "c9d6d7ede662784d2a55a79dea1ba8ed9b8d6b5a5844990d92424aee928a47af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.02853",
    "kind": "arxiv",
    "version": 1
  }
}