Pith Number

pith:C62AXVXH

pith:2026:C62AXVXHFZ2SQHQTRDLU7ZXLSI

not attested not anchored not stored refs pending

Do Counterfactually Fair Image Classifiers Satisfy Group Fairness? -- A Theoretical and Empirical Study

Sanghyuk Chun, Sangwon Jung, SuMin Yu, Taesup Moon

arxiv:2607.06603 v1 · 2026-07-07 · cs.CV · 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{C62AXVXHFZ2SQHQTRDLU7ZXLSI}

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	2026-07-09T00:19:19.978772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17b40bd6e72e75281e1388d74fe6eb921d086857eccf8b40415bce7461995cf4

Aliases

arxiv: 2607.06603 · arxiv_version: 2607.06603v1 · doi: 10.48550/arxiv.2607.06603 · pith_short_12: C62AXVXHFZ2S · pith_short_16: C62AXVXHFZ2SQHQT · pith_short_8: C62AXVXH

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/C62AXVXHFZ2SQHQTRDLU7ZXLSI \
  | 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: 17b40bd6e72e75281e1388d74fe6eb921d086857eccf8b40415bce7461995cf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a51446774f25bd4ab3ee9eafba212b2808c5505274a8ea1800c292b578b98808",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CV",
    "submitted_at": "2026-07-07T01:48:59Z",
    "title_canon_sha256": "334eac3ddee55be478605a9116208e9cbc92afec1830f00e1340d53256d6c0d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06603",
    "kind": "arxiv",
    "version": 1
  }
}