Pith Number

pith:IGPNXSSV

pith:2019:IGPNXSSVZUVOFTFKXPMM7BPU6U

not attested not anchored not stored refs pending

Heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms

Jian Wang, Takashi Kumagai, Zhen-Qing Chen

arxiv:1908.07650 v1 · 2019-08-20 · 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{IGPNXSSVZUVOFTFKXPMM7BPU6U}

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	2026-07-04T23:58:59.937603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

419edbca55cd2ae2ccaabbd8cf85f4f51431759701462e2dd25e0d4bfe7a4e45

Aliases

arxiv: 1908.07650 · arxiv_version: 1908.07650v1 · doi: 10.48550/arxiv.1908.07650 · pith_short_12: IGPNXSSVZUVO · pith_short_16: IGPNXSSVZUVOFTFK · pith_short_8: IGPNXSSV

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/IGPNXSSVZUVOFTFKXPMM7BPU6U \
  | 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: 419edbca55cd2ae2ccaabbd8cf85f4f51431759701462e2dd25e0d4bfe7a4e45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e71c5cf7c37e74f9da0ee0aa310281deb547ab10e7f22c999e68e94ce5fbae01",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-20T23:54:55Z",
    "title_canon_sha256": "7243be9dbf909578ee03c4f4e75801e363e9cd4529f8a68f8c5d8d14b0a2de2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07650",
    "kind": "arxiv",
    "version": 1
  }
}