Pith Number

pith:64PBZOUB

pith:2016:64PBZOUBOGK2Q2JO7UY7WXQUBF

not attested not anchored not stored refs pending

Harnack Inequalities for SDEs Driven by Time-Changed Fractional Brownian Motions

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

arxiv:1609.00885 v2 · 2016-09-04 · 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{64PBZOUBOGK2Q2JO7UY7WXQUBF}

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	2026-05-18T00:35:18.547972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f71e1cba817195a8692efd31fb5e1409560900e5cfa945853a176bd4baf271c4

Aliases

arxiv: 1609.00885 · arxiv_version: 1609.00885v2 · doi: 10.48550/arxiv.1609.00885 · pith_short_12: 64PBZOUBOGK2 · pith_short_16: 64PBZOUBOGK2Q2JO · pith_short_8: 64PBZOUB

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/64PBZOUBOGK2Q2JO7UY7WXQUBF \
  | 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: f71e1cba817195a8692efd31fb5e1409560900e5cfa945853a176bd4baf271c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d82e7d7711f402dfa474dc24c3859c7f896ad656408a1c5ce5deee9312c4de16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-09-04T01:58:13Z",
    "title_canon_sha256": "72635fdfaa732fbc0dc1cbc1cfa8a542c766527267a0736a504495a35d86ab46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00885",
    "kind": "arxiv",
    "version": 2
  }
}