Pith Number

pith:MB5EES4J

pith:2014:MB5EES4JGC4V4O3W75X3GZ5HSX

not attested not anchored not stored refs pending

On Shift Harnack Inequalities for Subordinate Semigroups and Moment Estimates for L\'evy Processes

Chang-song Deng, Ren\'e L. Schilling

arxiv:1412.6700 v2 · 2014-12-20 · math.PR · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MB5EES4JGC4V4O3W75X3GZ5HSX}

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	2026-05-18T02:04:00.007620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

607a424b8930b95e3b76ff6fb367a795c99f0704505a0373a3d720b444965ac2

Aliases

arxiv: 1412.6700 · arxiv_version: 1412.6700v2 · doi: 10.48550/arxiv.1412.6700 · pith_short_12: MB5EES4JGC4V · pith_short_16: MB5EES4JGC4V4O3W · pith_short_8: MB5EES4J

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/MB5EES4JGC4V4O3W75X3GZ5HSX \
  | 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: 607a424b8930b95e3b76ff6fb367a795c99f0704505a0373a3d720b444965ac2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8df53068b54185cfc35593c7edf87bbad40025bdd529fa0b6890001a8f11edc8",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-20T22:19:45Z",
    "title_canon_sha256": "f243d273b2b77a4259037e92d387ff85c17e76e2b8290340052c6781b2a9d854"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6700",
    "kind": "arxiv",
    "version": 2
  }
}