Pith Number

pith:2L42BUE2

pith:2021:2L42BUE22457W74QDZGZAFVOVQ

not attested not anchored not stored refs pending

An Asymptotic Analysis of Minibatch-Based Momentum Methods for Linear Regression Models

Guodong Li, Hansheng Wang, Haobo Qi, Riquan Zhang, Xuening Zhu, Yuan Gao

arxiv:2111.01507 v1 · 2021-11-02 · stat.ME · math.ST · stat.CO · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2L42BUE22457W74QDZGZAFVOVQ}

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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	2026-07-05T05:19:33.642530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2f9a0d09ad73bfb7f901e4d9016aeac1aac62812884d90cd6bd2be85c94df40

Aliases

arxiv: 2111.01507 · arxiv_version: 2111.01507v1 · doi: 10.48550/arxiv.2111.01507 · pith_short_12: 2L42BUE22457 · pith_short_16: 2L42BUE22457W74Q · pith_short_8: 2L42BUE2

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/2L42BUE22457W74QDZGZAFVOVQ \
  | 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: d2f9a0d09ad73bfb7f901e4d9016aeac1aac62812884d90cd6bd2be85c94df40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6cf6757cb94bd93aa4c45eaae017733f64ff39b20419f2e0ad8b54bbc4c0fe4",
    "cross_cats_sorted": [
      "math.ST",
      "stat.CO",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2021-11-02T11:25:18Z",
    "title_canon_sha256": "c4ac4d0fa6b4fbf0da5e6da9a336cd6611cb141c013cd236e5c2bef236822caf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.01507",
    "kind": "arxiv",
    "version": 1
  }
}