Pith Number

pith:A5RDE6DH

pith:2016:A5RDE6DHTN7CDKPTFEHRFFQXQV

not attested not anchored not stored refs pending

Stability of parabolic Harnack inequalities for symmetric non-local Dirichlet forms

Jian Wang, Takashi Kumagai, Zhen-Qing Chen

arxiv:1609.07594 v5 · 2016-09-24 · math.PR · math.AP · math.FA · math.MG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A5RDE6DHTN7CDKPTFEHRFFQXQV}

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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.

Cited by

1 paper in Pith

Heat kernel estimates for general symmetric pure jump Dirichlet forms

Receipt and verification

First computed	2026-07-05T01:11:07.836590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07623278679b7e21a9f3290f129617854e2fecd129a1695ef99715908ceb381d

Aliases

arxiv: 1609.07594 · arxiv_version: 1609.07594v5 · doi: 10.48550/arxiv.1609.07594 · pith_short_12: A5RDE6DHTN7C · pith_short_16: A5RDE6DHTN7CDKPT · pith_short_8: A5RDE6DH

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/A5RDE6DHTN7CDKPTFEHRFFQXQV \
  | 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: 07623278679b7e21a9f3290f129617854e2fecd129a1695ef99715908ceb381d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54f8c989ac69d2d8086f5e9a5736593d476d3a06b9b9d8fbda8e562144ab29f7",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-09-24T09:57:56Z",
    "title_canon_sha256": "74e4f2eb1130dd988cfef7752dea53afbf7ffb56972aaa1d5de487046b49f967"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07594",
    "kind": "arxiv",
    "version": 5
  }
}