Pith Number

pith:CBDJ2B2H

pith:2026:CBDJ2B2HTMC5XOBZCR5AMYF4AH

not attested not anchored not stored refs pending

Class-Balanced Softmax: A Bayes Theory-Based Method for Long-Tailed Recognition

Huiyu Zhou, Jianyuan Sun, Nan Xing, Rajeev Raman, Shiqi Su, Xinyu Yang, Yi-Hang Zhu

arxiv:2607.22258 v1 · 2026-07-24 · cs.LG · cs.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CBDJ2B2HTMC5XOBZCR5AMYF4AH}

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	2026-07-27T01:20:56.436006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10469d07479b05dbb839147a0660bc01fa5bb47d92e747339625e6ac09484ec7

Aliases

arxiv: 2607.22258 · arxiv_version: 2607.22258v1 · doi: 10.48550/arxiv.2607.22258 · pith_short_12: CBDJ2B2HTMC5 · pith_short_16: CBDJ2B2HTMC5XOBZ · pith_short_8: CBDJ2B2H

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/CBDJ2B2HTMC5XOBZCR5AMYF4AH \
  | 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: 10469d07479b05dbb839147a0660bc01fa5bb47d92e747339625e6ac09484ec7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdf7bebec9cd44b4e4e6cea630a28f4ae858da39981ac69cfda544ad1decacaf",
    "cross_cats_sorted": [
      "cs.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-24T12:46:03Z",
    "title_canon_sha256": "a342a8a41d2f25707d84260b3552ad8e565faea32ce857f14ef31c3c7ba8e645"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22258",
    "kind": "arxiv",
    "version": 1
  }
}