Pith Number

pith:VVIQCSUP

pith:2026:VVIQCSUPVAPTBTB4YBP3W573WH

not attested not anchored not stored refs pending

Expand More, Shrink Less: Shaping Effective-Rank Dynamics for Dense Scaling in Recommendation

Chao Zhou, Gengsheng Xue, Guoming Li, Haijie Gu, Jin Chen, Junwei Pan, Menglin Yang, Shangyu Zhang, Shudong Huang, Wentao Ning

arxiv:2605.23191 v1 · 2026-05-22 · cs.LG · cs.IR · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VVIQCSUPVAPTBTB4YBP3W573WH}

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	2026-05-25T02:01:42.383583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad51014a8fa81f30cc3cc05fbb77fbb1c674b58392871ea204b5f0270fe11597

Aliases

arxiv: 2605.23191 · arxiv_version: 2605.23191v1 · doi: 10.48550/arxiv.2605.23191 · pith_short_12: VVIQCSUPVAPT · pith_short_16: VVIQCSUPVAPTBTB4 · pith_short_8: VVIQCSUP

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/VVIQCSUPVAPTBTB4YBP3W573WH \
  | 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: ad51014a8fa81f30cc3cc05fbb77fbb1c674b58392871ea204b5f0270fe11597

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f31f56dc228df2bfabebabf1ce7912a4314f2ee631d57480fa9429d229fe1a9",
    "cross_cats_sorted": [
      "cs.IR",
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-22T03:17:29Z",
    "title_canon_sha256": "7278d30625b74511c2fd27c2c7a4cc0ec06ba57d57d635a5013fd4d5db56f661"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23191",
    "kind": "arxiv",
    "version": 1
  }
}