Pith Number

pith:CMKT67U4

pith:2026:CMKT67U47P5ZEULMRVWLFENB64

not attested not anchored not stored refs pending

Statistical Inference for Stochastic Gradient Descent Beyond Finite Variance

Jose Blanchet, Peter Glynn, Wenhao Yang

arxiv:2605.26000 v1 · 2026-05-25 · stat.ML · cs.LG · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CMKT67U47P5ZEULMRVWLFENB64}

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	2026-05-26T02:05:22.559422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13153f7e9cfbfb92516c8d6cb291a1f73178845e03378b34fc243dc34910d9db

Aliases

arxiv: 2605.26000 · arxiv_version: 2605.26000v1 · doi: 10.48550/arxiv.2605.26000 · pith_short_12: CMKT67U47P5Z · pith_short_16: CMKT67U47P5ZEULM · pith_short_8: CMKT67U4

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/CMKT67U47P5ZEULMRVWLFENB64 \
  | 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: 13153f7e9cfbfb92516c8d6cb291a1f73178845e03378b34fc243dc34910d9db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9527f25010892113487e267fe3aa494fb25e4a6c119db41a4c70f6ef1beb6bdb",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ME"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-05-25T16:18:39Z",
    "title_canon_sha256": "41c582b87303d203f58951304e30db0eaf99f8618744ef87bffab524e8f5abb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26000",
    "kind": "arxiv",
    "version": 1
  }
}