Pith Number

pith:JAKJ4DMG

pith:2016:JAKJ4DMGXWB24HRXO6ZIYQRH22

not attested not anchored not stored refs pending

Dirichlet heat kernel for the Laplacian in a ball

Grzegorz Serafin, Jacek Malecki

arxiv:1612.01833 v2 · 2016-12-06 · math.AP · 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{JAKJ4DMGXWB24HRXO6ZIYQRH22}

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	2026-05-18T00:47:20.191267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48149e0d86bd83ae1e3777b28c4227d6a6299b1d69930ec5e2afa746ee6a92dd

Aliases

arxiv: 1612.01833 · arxiv_version: 1612.01833v2 · doi: 10.48550/arxiv.1612.01833 · pith_short_12: JAKJ4DMGXWB2 · pith_short_16: JAKJ4DMGXWB24HRX · pith_short_8: JAKJ4DMG

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/JAKJ4DMGXWB24HRXO6ZIYQRH22 \
  | 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: 48149e0d86bd83ae1e3777b28c4227d6a6299b1d69930ec5e2afa746ee6a92dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f0cdd733963eb8a2ebc4db95c4a9dec4dfb218265e788856b7323d88b2e8f09",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-06T14:51:13Z",
    "title_canon_sha256": "3f5bf1d4643238505a606f75eefb93ef488141f427a4dad5d75deb897c654def"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01833",
    "kind": "arxiv",
    "version": 2
  }
}