Pith Number

pith:LARP3S2Y

pith:2025:LARP3S2YPNISWCWQI3732OFKUG

not attested not anchored not stored refs pending

Heat kernel estimates for Markov processes with blowing-up jump kernels

Panki Kim, Renming Song, Soobin Cho, Zoran Vondra\v{c}ek

arxiv:2512.24807 v2 · 2025-12-31 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LARP3S2YPNISWCWQI3732OFKUG}

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.

Receipt and verification

First computed	2026-06-11T01:09:25.789512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5822fdcb587b512b0ad046ffbd38aaa1aa511b43e20aa4a7eca2ba2f2b01b957

Aliases

arxiv: 2512.24807 · arxiv_version: 2512.24807v2 · doi: 10.48550/arxiv.2512.24807 · pith_short_12: LARP3S2YPNIS · pith_short_16: LARP3S2YPNISWCWQ · pith_short_8: LARP3S2Y

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/LARP3S2YPNISWCWQI3732OFKUG \
  | 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: 5822fdcb587b512b0ad046ffbd38aaa1aa511b43e20aa4a7eca2ba2f2b01b957

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3252eb24c71a43f7b0923186681715914183465d07c25bdd0b715f4f156263a6",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-12-31T11:49:51Z",
    "title_canon_sha256": "91ea5f1c1f1a36cdfe79d23c32b4af9fd94cdb334d0f83d23f5dd38619049b59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.24807",
    "kind": "arxiv",
    "version": 2
  }
}