Pith Number

pith:PNXJ4MIN

pith:2023:PNXJ4MINM5NPVVKT35V4BSECVJ

not attested not anchored not stored refs pending

Stochastic Approximation for Expectation Objective and Expectation Inequality-Constrained Nonconvex Optimization

Francisco Facchinei, Vyacheslav Kungurtsev

arxiv:2307.02943 v3 · 2023-07-06 · 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{PNXJ4MINM5NPVVKT35V4BSECVJ}

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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.

Cited by

2 papers in Pith

Stochastic Penalty-Barrier Methods for Constrained Machine Learning

A Noise Tolerant SQP Algorithm for Inequality Constrained Optimization

Receipt and verification

First computed	2026-07-05T11:43:52.951951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b6e9e310d675afad553df6bc0c882aa753b7084b47ed2075da425e209112956

Aliases

arxiv: 2307.02943 · arxiv_version: 2307.02943v3 · doi: 10.48550/arxiv.2307.02943 · pith_short_12: PNXJ4MINM5NP · pith_short_16: PNXJ4MINM5NPVVKT · pith_short_8: PNXJ4MIN

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/PNXJ4MINM5NPVVKT35V4BSECVJ \
  | 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: 7b6e9e310d675afad553df6bc0c882aa753b7084b47ed2075da425e209112956

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9d17dd2917c2f601cc5e6372f5097749d161de5c9856f6ca3a18cddb22395d8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-07-06T12:19:24Z",
    "title_canon_sha256": "95857cad0f4001b7abb733cde878b0691a02c26b0321a87fe5403be6d0884e43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.02943",
    "kind": "arxiv",
    "version": 3
  }
}