Pith Number

pith:VPT5OXL7

pith:2023:VPT5OXL7P32TSALRSMNCR4K73W

not attested not anchored not stored refs pending

Concentration of Contractive Stochastic Approximation: Additive and Multiplicative Noise

Martin Zubeldia, Siva Theja Maguluri, Zaiwei Chen

arxiv:2303.15740 v2 · 2023-03-28 · cs.LG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VPT5OXL7P32TSALRSMNCR4K73W}

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

Non-Expansive Mappings in Two-Time-Scale Stochastic Approximation: Finite-Time Analysis

Receipt and verification

First computed	2026-07-05T09:07:43.232446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abe7d75d7f7ef5390171931a28f15fdd903c15965743ebc8f14142a3c6ffe913

Aliases

arxiv: 2303.15740 · arxiv_version: 2303.15740v2 · doi: 10.48550/arxiv.2303.15740 · pith_short_12: VPT5OXL7P32T · pith_short_16: VPT5OXL7P32TSALR · pith_short_8: VPT5OXL7

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/VPT5OXL7P32TSALRSMNCR4K73W \
  | 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: abe7d75d7f7ef5390171931a28f15fdd903c15965743ebc8f14142a3c6ffe913

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4d9d42a220e18cb85dc474b74905838b009aedcdb9d3228282fc371e814a4c8",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-03-28T05:32:30Z",
    "title_canon_sha256": "657974c9236ea1a7139381acbca59ff100a8491fd6975c21edbd94fe5f929d05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.15740",
    "kind": "arxiv",
    "version": 2
  }
}