Pith Number

pith:D4ZXTXOE

pith:2026:D4ZXTXOEF7AYYZMXX3D7P7BI4M

not attested not anchored not stored refs pending

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning

Jiang Hu, Lin Lin, Yuan Zhang, Zaiwen Wen, Zhijian Lai

arxiv:2607.25299 v1 · 2026-07-28 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D4ZXTXOEF7AYYZMXX3D7P7BI4M}

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	2026-07-29T01:25:07.752169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f3379ddc42fc18c6597bec7f7fc28e30f90f64d59cffe41bd6ef635b184c00e

Aliases

arxiv: 2607.25299 · arxiv_version: 2607.25299v1 · doi: 10.48550/arxiv.2607.25299 · pith_short_12: D4ZXTXOEF7AY · pith_short_16: D4ZXTXOEF7AYYZMX · pith_short_8: D4ZXTXOE

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/D4ZXTXOEF7AYYZMXX3D7P7BI4M \
  | 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: 1f3379ddc42fc18c6597bec7f7fc28e30f90f64d59cffe41bd6ef635b184c00e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c7e34708b81a2197ff76f03d9292bff09ed7362dc1e1a414755bc23ba1fcfff",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-28T05:22:39Z",
    "title_canon_sha256": "265611512710db480a729523011363abba679d59187732ab6f142a181c411e17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25299",
    "kind": "arxiv",
    "version": 1
  }
}