Pith Number

pith:ED67FUOU

pith:2016:ED67FUOUABX2JES4QASQF7OTSL

not attested not anchored not stored refs pending

Gradient estimates of Dirichlet heat kernels for unimodal Levy processes

Michal Ryznar, Tadeusz Kulczycki

arxiv:1604.02418 v2 · 2016-04-08 · 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{ED67FUOUABX2JES4QASQF7OTSL}

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	2026-05-18T01:15:33.941247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20fdf2d1d4006fa4925c802502fdd392fa0365e3f17828267cafffe65f9c593d

Aliases

arxiv: 1604.02418 · arxiv_version: 1604.02418v2 · doi: 10.48550/arxiv.1604.02418 · pith_short_12: ED67FUOUABX2 · pith_short_16: ED67FUOUABX2JES4 · pith_short_8: ED67FUOU

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/ED67FUOUABX2JES4QASQF7OTSL \
  | 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: 20fdf2d1d4006fa4925c802502fdd392fa0365e3f17828267cafffe65f9c593d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c077192472fa9c52619793e4efa3759eb8553ff48e00be8aa0421c43bb7cf73a",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-04-08T18:20:41Z",
    "title_canon_sha256": "c7aeb9a70ebf470babb916058e9566e1097cfd8c33107bdea2a9e05121f4b25c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02418",
    "kind": "arxiv",
    "version": 2
  }
}