Pith Number

pith:2YTJMX6O

pith:2025:2YTJMX6O4FOI53KRQPT7LVI4EM

not attested not anchored not stored refs pending

GBFRS: Robust Fuzzy Rough Sets via Granular-ball Computing

Binbin Sang, Guoyin Wang, Shuyin Xia, Xiaoyu Lian, Xinbo Gao

arxiv:2501.18413 v1 · 2025-01-30 · cs.AI · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2YTJMX6O4FOI53KRQPT7LVI4EM}

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	2026-07-05T10:07:33.921309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d626965fcee15c8eed5183e7f5d51c231bda374a62d483c0e40bc30f1143cba0

Aliases

arxiv: 2501.18413 · arxiv_version: 2501.18413v1 · doi: 10.48550/arxiv.2501.18413 · pith_short_12: 2YTJMX6O4FOI · pith_short_16: 2YTJMX6O4FOI53KR · pith_short_8: 2YTJMX6O

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/2YTJMX6O4FOI53KRQPT7LVI4EM \
  | 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: d626965fcee15c8eed5183e7f5d51c231bda374a62d483c0e40bc30f1143cba0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "664f343f964368e66a80011fb2eda6b78470f86a1dba08734e2f7ba7f6b5ea98",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2025-01-30T15:09:26Z",
    "title_canon_sha256": "7236ea44573eb37c10e590282435255cfb2809e16cb334b338b3fb99db28d748"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.18413",
    "kind": "arxiv",
    "version": 1
  }
}