Pith Number

pith:KBJQNJFB

pith:2021:KBJQNJFB5UX6SLP2OFHRDA3MFE

not attested not anchored not stored refs pending

Probabilistic Verification of Neural Networks Against Group Fairness

Bing Sun, Jun Sun, Lijun Zhang, Ting Dai

arxiv:2107.08362 v1 · 2021-07-18 · cs.LG · cs.AI · cs.CY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KBJQNJFB5UX6SLP2OFHRDA3MFE}

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	2026-07-05T02:58:48.614896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

505306a4a1ed2fe92dfa714f11836c2932c094968d30b8818f8e969990d33a9b

Aliases

arxiv: 2107.08362 · arxiv_version: 2107.08362v1 · doi: 10.48550/arxiv.2107.08362 · pith_short_12: KBJQNJFB5UX6 · pith_short_16: KBJQNJFB5UX6SLP2 · pith_short_8: KBJQNJFB

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/KBJQNJFB5UX6SLP2OFHRDA3MFE \
  | 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: 505306a4a1ed2fe92dfa714f11836c2932c094968d30b8818f8e969990d33a9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fc5b1a6372062c7d7b90f48a8e7846b5e0db24ef2616aaca3155b11e00b9039",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-07-18T04:34:31Z",
    "title_canon_sha256": "3ff9e0166eb104fbf04b8eb87a27a6aa6a48d6e25dac9cb6c9948d5c9ef1ca06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.08362",
    "kind": "arxiv",
    "version": 1
  }
}