Pith Number

pith:OIK747FD

pith:2024:OIK747FDOHROUJ2O2OYCM4567E

not attested not anchored not stored refs pending

Making Hard Problems Easier with Custom Data Distributions and Loss Regularization: A Case Study in Modular Arithmetic

Alberto Alfarano, Emily Wenger, Eshika Saxena, Fran\c{c}ois Charton, Kristin Lauter, Zeyuan Allen-Zhu

arxiv:2410.03569 v2 · 2024-10-04 · 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{OIK747FDOHROUJ2O2OYCM4567E}

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	2026-07-05T11:58:20.954692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7215fe7ca371e2ea274ed3b02673bef9243d0fc219befbbf7ddac10f2dbca90f

Aliases

arxiv: 2410.03569 · arxiv_version: 2410.03569v2 · doi: 10.48550/arxiv.2410.03569 · pith_short_12: OIK747FDOHRO · pith_short_16: OIK747FDOHROUJ2O · pith_short_8: OIK747FD

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/OIK747FDOHROUJ2O2OYCM4567E \
  | 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: 7215fe7ca371e2ea274ed3b02673bef9243d0fc219befbbf7ddac10f2dbca90f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcfb370f7979c2122a8289c0dd790179b83dd0f93cd93aac8b8fbe1509d9e516",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-10-04T16:19:33Z",
    "title_canon_sha256": "5c73e4d84296050f633958ac200894d18444f85011bf3ba9a1f15f8212c543ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.03569",
    "kind": "arxiv",
    "version": 2
  }
}