Pith Number

pith:ZP3MM47F

pith:2026:ZP3MM47FMIRL5DKODJRKVUXYFM

not attested not anchored not stored refs pending

Learning Fair Pareto-Optimal Policies in Multi-Objective Reinforcement Learning

Peilang Li, Umer Siddique, Yongcan Cao

arxiv:2606.18111 v1 · 2026-06-16 · 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{ZP3MM47FMIRL5DKODJRKVUXYFM}

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	2026-06-19T16:10:48.747879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbf6c673e56222be8d4e1a62aad2f82b1f9cc3d875b3d05090db00c97d721c5f

Aliases

arxiv: 2606.18111 · arxiv_version: 2606.18111v1 · doi: 10.48550/arxiv.2606.18111 · pith_short_12: ZP3MM47FMIRL · pith_short_16: ZP3MM47FMIRL5DKO · pith_short_8: ZP3MM47F

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/ZP3MM47FMIRL5DKODJRKVUXYFM \
  | 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: cbf6c673e56222be8d4e1a62aad2f82b1f9cc3d875b3d05090db00c97d721c5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04be3c3da5557ab4494ab82497c1a5c4c85e7a3ec554f89752abcf697cbedabe",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-16T16:16:54Z",
    "title_canon_sha256": "ebb4212c9d1b9b3e3460248ea8eed288f52c738987863e46c0de3de4e8657cb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18111",
    "kind": "arxiv",
    "version": 1
  }
}