Pith Number

pith:G7SFOWGL

pith:2025:G7SFOWGLITV6ZHFWUQ5O37SC5L

not attested not anchored not stored refs pending

Semiparametric Preference Optimization: Your Language Model is Secretly a Single-Index Model

Nathan Kallus

arxiv:2512.21917 v3 · 2025-12-26 · cs.LG · cs.AI · econ.EM · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G7SFOWGLITV6ZHFWUQ5O37SC5L}

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.

Cited by

2 papers in Pith

Causal methods for LLM development and evaluation

On the Blessing of Pre-training in Weak-to-Strong Generalization

Receipt and verification

First computed	2026-06-04T01:09:40.566623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37e45758cb44ebec9cb6a43aedfe42eadb88e72780b3bdff93ad1b062aca605c

Aliases

arxiv: 2512.21917 · arxiv_version: 2512.21917v3 · doi: 10.48550/arxiv.2512.21917 · pith_short_12: G7SFOWGLITV6 · pith_short_16: G7SFOWGLITV6ZHFW · pith_short_8: G7SFOWGL

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/G7SFOWGLITV6ZHFWUQ5O37SC5L \
  | 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: 37e45758cb44ebec9cb6a43aedfe42eadb88e72780b3bdff93ad1b062aca605c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f036b071636c10c1482546ced597bab06e8f9a9418f0453aed0bcff7503dc8a5",
    "cross_cats_sorted": [
      "cs.AI",
      "econ.EM",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-12-26T08:22:41Z",
    "title_canon_sha256": "d3ff80c6183a697a842c1de14e4f4d2f498a0852e25e1b263398bc0a6f55c090"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.21917",
    "kind": "arxiv",
    "version": 3
  }
}