Pith Number

pith:XKHWBJVD

pith:2015:XKHWBJVD2GZWFSXCAN4JPIIXQX

not attested not anchored not stored refs pending

Estimates of Dirichlet heat kernel for symmetric Markov processes

Kyung-Youn Kim, Panki Kim, Tomasz Grzywny

arxiv:1512.02717 v2 · 2015-12-09 · 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{XKHWBJVD2GZWFSXCAN4JPIIXQX}

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	2026-05-17T23:52:08.716995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba8f60a6a3d1b362cae2037897a11785e639a8192ab5a218fc2099a0a0b7e992

Aliases

arxiv: 1512.02717 · arxiv_version: 1512.02717v2 · doi: 10.48550/arxiv.1512.02717 · pith_short_12: XKHWBJVD2GZW · pith_short_16: XKHWBJVD2GZWFSXC · pith_short_8: XKHWBJVD

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/XKHWBJVD2GZWFSXCAN4JPIIXQX \
  | 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: ba8f60a6a3d1b362cae2037897a11785e639a8192ab5a218fc2099a0a0b7e992

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a169cafa54e7cd6680df3c0ce97783ea9fb5955ed91acb3c3453188bc979e82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-09T01:48:42Z",
    "title_canon_sha256": "4f238ca445cf624af6d7b9f76de086a7e09fc9a23150142198ea4f68498b6c50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02717",
    "kind": "arxiv",
    "version": 2
  }
}