Pith Number

pith:LENO72AK

pith:2025:LENO72AKNWSLI32G6JBCY4IPCZ

not attested not anchored not stored refs pending

Heat kernels and Green functions for fractional Schr\"{o}dinger operators with confining potentials

Jian Wang, Kamil Kaleta, Xin Chen

arxiv:2502.11320 v2 · 2025-02-17 · 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{LENO72AKNWSLI32G6JBCY4IPCZ}

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	2026-07-05T10:16:21.478556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

591aefe80a6da4b46f46f2422c710f164e7a20b2de96c950c90b7d3bf167e546

Aliases

arxiv: 2502.11320 · arxiv_version: 2502.11320v2 · doi: 10.48550/arxiv.2502.11320 · pith_short_12: LENO72AKNWSL · pith_short_16: LENO72AKNWSLI32G · pith_short_8: LENO72AK

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/LENO72AKNWSLI32G6JBCY4IPCZ \
  | 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: 591aefe80a6da4b46f46f2422c710f164e7a20b2de96c950c90b7d3bf167e546

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b20fb70d0e15375e8bd07067c38a4e8e55ff044436115abaaf4280fea0864a72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-02-17T00:10:18Z",
    "title_canon_sha256": "528eb9104c085414b9d0c0ee286afb8e6a404fc0bc19e1fea92ee47b605d062d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.11320",
    "kind": "arxiv",
    "version": 2
  }
}