Pith Number

pith:WE35742T

pith:2022:WE35742TK2UXHUDLMXDMECK2HM

not attested not anchored not stored refs pending

A Theoretical Analysis of the Learning Dynamics under Class Imbalance

Aurelien Lucchi, Emanuele Francazi, Marco Baity-Jesi

arxiv:2207.00391 v4 · 2022-07-01 · stat.ML · 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{WE35742TK2UXHUDLMXDMECK2HM}

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	2026-07-05T07:46:12.252212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b137dff35356a973d06b65c6c2095a3b39bf0cd27577aa5eada9c498b24103c3

Aliases

arxiv: 2207.00391 · arxiv_version: 2207.00391v4 · doi: 10.48550/arxiv.2207.00391 · pith_short_12: WE35742TK2UX · pith_short_16: WE35742TK2UXHUDL · pith_short_8: WE35742T

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/WE35742TK2UXHUDLMXDMECK2HM \
  | 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: b137dff35356a973d06b65c6c2095a3b39bf0cd27577aa5eada9c498b24103c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ec5449c7bf559ae3f23285264273aca0ec3e0ccb694e67f42242fc7808d3f64",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2022-07-01T12:54:38Z",
    "title_canon_sha256": "f98f2cd64740e5bb7bb69d236788705694b7bc4bc43b47a296999c0f624a5f34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.00391",
    "kind": "arxiv",
    "version": 4
  }
}