Pith Number

pith:EDNE6M55

pith:2013:EDNE6M55VC4JGGVF4VDOJVKPFI

not attested not anchored not stored refs pending

Harnack Inequalities for SDEs with Multiplicative Noise and Non-regular Drift

Dejun Luo, Huaiqian Li, Jian Wang

arxiv:1310.4382 v2 · 2013-10-16 · 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{EDNE6M55VC4JGGVF4VDOJVKPFI}

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	2026-05-18T02:54:21.212730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20da4f33bda8b8931aa5e546e4d54f2a041578cb1df30281ab689853e032c7b5

Aliases

arxiv: 1310.4382 · arxiv_version: 1310.4382v2 · doi: 10.48550/arxiv.1310.4382 · pith_short_12: EDNE6M55VC4J · pith_short_16: EDNE6M55VC4JGGVF · pith_short_8: EDNE6M55

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/EDNE6M55VC4JGGVF4VDOJVKPFI \
  | 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: 20da4f33bda8b8931aa5e546e4d54f2a041578cb1df30281ab689853e032c7b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0d3a0483522f8e2e6a1627a460c377062aa85a775acf23fe9ec394a19bfc9cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-10-16T14:02:04Z",
    "title_canon_sha256": "04f90f3f4ae05de3b67c11431559f17c6a496a20137da37bf733fd3ea2c2591f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4382",
    "kind": "arxiv",
    "version": 2
  }
}