Pith Number

pith:DU5WZNXV

pith:2026:DU5WZNXVQNDTVHEZSIAAYV2EAP

not attested not anchored not stored refs pending

On the Convergence of Stochastic Low-Rank Adaptation

Chengchang Liu, John C.S. Lui, Ru Wang

arxiv:2607.21975 v1 · 2026-07-24 · 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{DU5WZNXVQNDTVHEZSIAAYV2EAP}

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	2026-07-27T00:20:30.864187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d3b6cb6f583473a9c9992000c574403fb0ebf04e683028c053f91bf62b67213

Aliases

arxiv: 2607.21975 · arxiv_version: 2607.21975v1 · doi: 10.48550/arxiv.2607.21975 · pith_short_12: DU5WZNXVQNDT · pith_short_16: DU5WZNXVQNDTVHEZ · pith_short_8: DU5WZNXV

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/DU5WZNXVQNDTVHEZSIAAYV2EAP \
  | 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: 1d3b6cb6f583473a9c9992000c574403fb0ebf04e683028c053f91bf62b67213

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4b0471a56e490fdfaa929102010f84c303b988a31d6ee860dd5e3ac6b4afb67",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-24T04:41:26Z",
    "title_canon_sha256": "09ab28e1f7de202517b986a6522ab2944b172b7d62027a05b67b3a7570be734e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21975",
    "kind": "arxiv",
    "version": 1
  }
}