Pith Number

pith:JBF6T2KT

pith:2026:JBF6T2KTY5E5XB3CJDJMS42DAT

not attested not anchored not stored refs pending

Operationalizing Individual Fairness via Gradient Descent and Bradley-Terry Models

Conlan Olson, Linjun Zhang, Pragya Sur, Zhun Deng

arxiv:2605.23145 v1 · 2026-05-22 · stat.ML · cs.LG · math.ST · stat.ME · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JBF6T2KTY5E5XB3CJDJMS42DAT}

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	2026-05-25T02:01:40.341050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

484be9e953c749db876248d2c9734304c48f7cef0437348db18e430f8f867532

Aliases

arxiv: 2605.23145 · arxiv_version: 2605.23145v1 · doi: 10.48550/arxiv.2605.23145 · pith_short_12: JBF6T2KTY5E5 · pith_short_16: JBF6T2KTY5E5XB3C · pith_short_8: JBF6T2KT

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/JBF6T2KTY5E5XB3CJDJMS42DAT \
  | 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: 484be9e953c749db876248d2c9734304c48f7cef0437348db18e430f8f867532

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4084eac4fe1e012c9d873cb4bf0f23f06393b50e05eee5ab44ec53e53ed32187",
    "cross_cats_sorted": [
      "cs.LG",
      "math.ST",
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-05-22T01:50:38Z",
    "title_canon_sha256": "155f9eb1198a761e264b3f1fa300ab45aff199650cb543b843060673f3180a10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23145",
    "kind": "arxiv",
    "version": 1
  }
}