Pith Number

pith:ASXJPX2N

pith:2021:ASXJPX2N2WPYHOKNHG2JC5MIG6

not attested not anchored not stored refs pending

Generalization Bounds for Stochastic Gradient Langevin Dynamics: A Unified View via Information Leakage Analysis

Bingzhe Wu, Chaochao Chen, Junzhou Huang, Yatao Bian, Yuan Yao, Zhicong Liang

arxiv:2112.08439 v1 · 2021-12-14 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ASXJPX2N2WPYHOKNHG2JC5MIG6}

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	2026-07-05T03:41:29.233686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04ae97df4dd59f83b94d39b4917588378aab488bebfab91128b266337b506a2d

Aliases

arxiv: 2112.08439 · arxiv_version: 2112.08439v1 · doi: 10.48550/arxiv.2112.08439 · pith_short_12: ASXJPX2N2WPY · pith_short_16: ASXJPX2N2WPYHOKN · pith_short_8: ASXJPX2N

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/ASXJPX2N2WPYHOKNHG2JC5MIG6 \
  | 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: 04ae97df4dd59f83b94d39b4917588378aab488bebfab91128b266337b506a2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a95e6380cb38427aa79908c3c886fa827aeaf6bf58a08b03c0662caa70356182",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-12-14T06:45:52Z",
    "title_canon_sha256": "bcb83739af16caa4acd41f468107264760b9dcce2b6e117bab12ae2013705c91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.08439",
    "kind": "arxiv",
    "version": 1
  }
}