Pith Number

pith:L72WSBUY

pith:2026:L72WSBUYK7DFHRHSHZ4OGOILQV

not attested not anchored not stored refs pending

A Distribution Mapping Approach to Counterfactually Fair Reinforcement Learning

Chengchun Shi, Donglin Zeng, Jianhan Zhang, Jitao Wang, John D. Piette, Zhenke Wu

arxiv:2608.08743 v1 · 2026-08-09 · stat.ML · cs.CY · cs.LG · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L72WSBUYK7DFHRHSHZ4OGOILQV}

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	2026-08-11T01:25:12.390714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ff569069857c653c4f23e78e3390b857fefe5fe3ffdcd39f0379ae80ff29578

Aliases

arxiv: 2608.08743 · arxiv_version: 2608.08743v1 · doi: 10.48550/arxiv.2608.08743 · pith_short_12: L72WSBUYK7DF · pith_short_16: L72WSBUYK7DFHRHS · pith_short_8: L72WSBUY

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/L72WSBUYK7DFHRHSHZ4OGOILQV \
  | 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: 5ff569069857c653c4f23e78e3390b857fefe5fe3ffdcd39f0379ae80ff29578

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1ee148e73831700c55dca66098975bc7f47ee17396b8b11bd898d347127aa0a",
    "cross_cats_sorted": [
      "cs.CY",
      "cs.LG",
      "stat.ME"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-08-09T14:42:47Z",
    "title_canon_sha256": "e0f4198816ff8f86a0f97b9ccbdbae52c710ec3d085502f6d1986a86a6de5291"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08743",
    "kind": "arxiv",
    "version": 1
  }
}