Pith Number

pith:O3FBQO5J

pith:2026:O3FBQO5JKY22TVLZY7747ZB6AC

not attested not anchored not stored refs pending

Adaptive $k$ Nearest Neighbors Classifier via Granular Ball Computing

Guoyin Wang, Hongxuan He, Lifeng Shen, Shuyin Xia, Xiaoyu Lian, Xinbo Gao

arxiv:2608.12903 v1 · 2026-08-13 · 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{O3FBQO5JKY22TVLZY7747ZB6AC}

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	2026-08-14T00:58:44.975811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76ca183ba95635a9d579c7ffcfe43e00b061954c465edc2503d87e6a2eb1407d

Aliases

arxiv: 2608.12903 · arxiv_version: 2608.12903v1 · doi: 10.48550/arxiv.2608.12903 · pith_short_12: O3FBQO5JKY22 · pith_short_16: O3FBQO5JKY22TVLZ · pith_short_8: O3FBQO5J

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/O3FBQO5JKY22TVLZY7747ZB6AC \
  | 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: 76ca183ba95635a9d579c7ffcfe43e00b061954c465edc2503d87e6a2eb1407d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79469a000d081fb2acc75c6c284b637fb169203038c2a9b00745b724668acc5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-08-13T07:39:46Z",
    "title_canon_sha256": "40d710adc7bf66470847264c0b89f128f3c478956787bcfe93243d85ec7e5a9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.12903",
    "kind": "arxiv",
    "version": 1
  }
}