Pith Number

pith:V67NSWBD

pith:2026:V67NSWBDXGIYCGTNUF4ITXQ7PE

not attested not anchored not stored refs pending

Mult-DPO: Multinomial Direct Preference Optimization for Recommender Systems

Aditya Sinha, Harald Steck, James McInerney, Jundong Li, Nathan Kallus, Yaochen Zhu, Yinhan He

arxiv:2606.10078 v1 · 2026-06-08 · cs.IR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V67NSWBDXGIYCGTNUF4ITXQ7PE}

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	2026-06-10T00:08:48.227327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afbed95823b991811a6da17889de1f792a5b315f33516f996c8d3267482e54d9

Aliases

arxiv: 2606.10078 · arxiv_version: 2606.10078v1 · doi: 10.48550/arxiv.2606.10078 · pith_short_12: V67NSWBDXGIY · pith_short_16: V67NSWBDXGIYCGTN · pith_short_8: V67NSWBD

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/V67NSWBDXGIYCGTNUF4ITXQ7PE \
  | 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: afbed95823b991811a6da17889de1f792a5b315f33516f996c8d3267482e54d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bb0254893bb6ed8f45b6653d451359086a4c167b8ae3649b73951c5843fbda6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IR",
    "submitted_at": "2026-06-08T18:53:45Z",
    "title_canon_sha256": "99dd149ffb05d8038055edd5e89a53346171b4182a61d3d877b6c4e0d6f74fc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10078",
    "kind": "arxiv",
    "version": 1
  }
}