Pith Number

pith:P4ZWVO7D

pith:2026:P4ZWVO7DPGPNCMOJSI3P5WUQDG

not attested not anchored not stored refs pending

A Projected Stochastic Gradient Method for Finite-Sum Problems with Linear Equality Constraints

Benedetta Morini, Mahsa Yousefi, Natasa Krklec Jerinkic

arxiv:2605.16263 v1 · 2026-03-05 · 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{P4ZWVO7DPGPNCMOJSI3P5WUQDG}

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	2026-05-20T00:02:14.045607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f336abbe3799ed131c99236feda90199858ba0eba60c770209b0bf7af8b1382

Aliases

arxiv: 2605.16263 · arxiv_version: 2605.16263v1 · doi: 10.48550/arxiv.2605.16263 · pith_short_12: P4ZWVO7DPGPN · pith_short_16: P4ZWVO7DPGPNCMOJ · pith_short_8: P4ZWVO7D

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/P4ZWVO7DPGPNCMOJSI3P5WUQDG \
  | 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: 7f336abbe3799ed131c99236feda90199858ba0eba60c770209b0bf7af8b1382

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0717164d3527c9392bd88aeb1fe7dc348d363655706ec98dfb68f51810766b4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-03-05T11:22:48Z",
    "title_canon_sha256": "81d44cd93c9d9ab5ce1060e2d5dfd8c2abd48c7ade52d107ebc33a8710064802"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16263",
    "kind": "arxiv",
    "version": 1
  }
}