Pith Number

pith:LVCBKI3R

pith:2026:LVCBKI3RY4FKSD6M7JP2ULZFAT

not attested not anchored not stored refs pending

Multi-Objective Learning for Diffusion Models: A Statistical Theory under Semi-Supervised Learning

Hanlin Zhu, Haoran Geng, Jitendra Malik, Pieter Abbeel, Somayeh Sojoudi, Xin Guo, Yixiao Huang, Ziheng Cheng

arxiv:2605.25210 v1 · 2026-05-24 · cs.LG · cs.AI · 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{LVCBKI3RY4FKSD6M7JP2ULZFAT}

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	2026-05-26T02:04:23.522646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d44152371c70aa90fccfa5faa2f2504e9e767c6f65d2dc44971aed3a40a5215

Aliases

arxiv: 2605.25210 · arxiv_version: 2605.25210v1 · doi: 10.48550/arxiv.2605.25210 · pith_short_12: LVCBKI3RY4FK · pith_short_16: LVCBKI3RY4FKSD6M · pith_short_8: LVCBKI3R

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/LVCBKI3RY4FKSD6M7JP2ULZFAT \
  | 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: 5d44152371c70aa90fccfa5faa2f2504e9e767c6f65d2dc44971aed3a40a5215

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97badd419200140e5285ac3dd082604dd381f67423b9225265f8f87be49e61ff",
    "cross_cats_sorted": [
      "cs.AI",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-24T18:19:40Z",
    "title_canon_sha256": "ef1f312f15474da1dafaddcd7c0eac8d268d192166b629696979910d9d2a5cd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25210",
    "kind": "arxiv",
    "version": 1
  }
}