Pith Number

pith:HMEVVDL3

pith:2009:HMEVVDL3F2UNL47ZOTCM3WQ7DW

not attested not anchored not stored refs pending

Heat kernel estimates for the fractional Laplacian with Dirichlet conditions

Krzysztof Bogdan, Micha{\l} Ryznar, Tomasz Grzywny

arxiv:0905.2626 v4 · 2009-05-15 · 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{HMEVVDL3F2UNL47ZOTCM3WQ7DW}

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	2026-05-18T04:36:59.471903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b095a8d7b2ea8d5f3f974c4cdda1f1dbea3b1dd738d9cb1e34c0187587d63bb

Aliases

arxiv: 0905.2626 · arxiv_version: 0905.2626v4 · doi: 10.48550/arxiv.0905.2626 · pith_short_12: HMEVVDL3F2UN · pith_short_16: HMEVVDL3F2UNL47Z · pith_short_8: HMEVVDL3

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/HMEVVDL3F2UNL47ZOTCM3WQ7DW \
  | 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: 3b095a8d7b2ea8d5f3f974c4cdda1f1dbea3b1dd738d9cb1e34c0187587d63bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a9e904b7c01ee184519237923e78c77520c1080314de57d4c649aae1eacd08f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-05-15T21:24:11Z",
    "title_canon_sha256": "c8f35472d5cfdc984423bb48b609cbfafe4b87bd18c937e880cd90ce2deb6ff8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.2626",
    "kind": "arxiv",
    "version": 4
  }
}