Pith Number

pith:ZV2GXRQC

pith:2026:ZV2GXRQCKBFPODBN6SRWTR6SJ2

not attested not anchored not stored refs pending

SILAGE: Memory-Efficient, Full-Gradient-Free Nonconvex Optimization for Nested Finite Sums

Igor Sokolov, Laurent Condat, Peter Richt\'arik

arxiv:2606.15832 v2 · 2026-06-14 · 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{ZV2GXRQCKBFPODBN6SRWTR6SJ2}

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	2026-06-19T16:12:56.092309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd746bc602504af70c2df4a369c7d24eb0c1a718ffc116c0fc7384cba854133b

Aliases

arxiv: 2606.15832 · arxiv_version: 2606.15832v2 · doi: 10.48550/arxiv.2606.15832 · pith_short_12: ZV2GXRQCKBFP · pith_short_16: ZV2GXRQCKBFPODBN · pith_short_8: ZV2GXRQC

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/ZV2GXRQCKBFPODBN6SRWTR6SJ2 \
  | 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: cd746bc602504af70c2df4a369c7d24eb0c1a718ffc116c0fc7384cba854133b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d0a92812d3db518cf1eb008ee86f0b8bc93400f0e484cb783bf9b7362cc38f8",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-14T14:11:07Z",
    "title_canon_sha256": "d1506c36c4c2094667dcf405237eac817ff41a73703c1e0357b25245edf052c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.15832",
    "kind": "arxiv",
    "version": 2
  }
}