Pith Number

pith:YGEOGWM2

pith:2019:YGEOGWM2WIXGRASZWYNLY2RBE2

not attested not anchored not stored refs pending

Heat kernel estimates for general symmetric pure jump Dirichlet forms

Jian Wang, Takashi Kumagai, Zhen-Qing Chen

arxiv:1908.07655 v1 · 2019-08-21 · 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{YGEOGWM2WIXGRASZWYNLY2RBE2}

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	2026-07-04T23:59:00.022981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c188e3599ab22e688259b61abc6a21268eecff174072199720e3425717c17e56

Aliases

arxiv: 1908.07655 · arxiv_version: 1908.07655v1 · doi: 10.48550/arxiv.1908.07655 · pith_short_12: YGEOGWM2WIXG · pith_short_16: YGEOGWM2WIXGRASZ · pith_short_8: YGEOGWM2

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/YGEOGWM2WIXGRASZWYNLY2RBE2 \
  | 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: c188e3599ab22e688259b61abc6a21268eecff174072199720e3425717c17e56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad31dd7cf7faba1aa7a38606ffe7cd5879f0bb6118d197cf56d9c68fb628c4ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-21T00:12:41Z",
    "title_canon_sha256": "2dc4ca25861b796895e84a59320fbfd933f6eda4896a3a6611ebe35b3d89e945"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07655",
    "kind": "arxiv",
    "version": 1
  }
}