Pith Number

pith:BDLWPWX2

pith:2019:BDLWPWX2AQYB3HTO4XUDU5L43T

not attested not anchored not stored refs pending

On explicit $L^2$-convergence rate estimate for underdamped Langevin dynamics

Jianfeng Lu, Lihan Wang, Yu Cao

arxiv:1908.04746 v7 · 2019-08-13 · math.AP · 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{BDLWPWX2AQYB3HTO4XUDU5L43T}

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.

Cited by

1 paper in Pith

Singularity Formation: Synergy in Theoretical, Numerical and Machine Learning Approaches

Receipt and verification

First computed	2026-07-05T06:44:17.849178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08d767dafa04301d9e6ee5e83a757cdcfb3a6af436872b5fab543689712ca4ee

Aliases

arxiv: 1908.04746 · arxiv_version: 1908.04746v7 · doi: 10.48550/arxiv.1908.04746 · pith_short_12: BDLWPWX2AQYB · pith_short_16: BDLWPWX2AQYB3HTO · pith_short_8: BDLWPWX2

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/BDLWPWX2AQYB3HTO4XUDU5L43T \
  | 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: 08d767dafa04301d9e6ee5e83a757cdcfb3a6af436872b5fab543689712ca4ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc17143cfb54a468b65b47cfe3b370b93d0d2935c79bfeae409415525f57c094",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-13T17:05:46Z",
    "title_canon_sha256": "684115b6f8b864f76c8e1772432425436851e6ecd426d73fd5079f8b39f3165d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04746",
    "kind": "arxiv",
    "version": 7
  }
}