Pith Number

pith:PWZLSDGS

pith:2023:PWZLSDGS3MWHZSEYU4F4ANNIIQ

not attested not anchored not stored refs pending

Optimization Dynamics of Equivariant and Augmented Neural Networks

Axel Flinth, Fredrik Ohlsson, Oskar Nordenfors

arxiv:2303.13458 v5 · 2023-03-23 · cs.LG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PWZLSDGS3MWHZSEYU4F4ANNIIQ}

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.

Cited by

1 paper in Pith

Data Augmentation and Regularization for Learning Group Equivariance

Receipt and verification

First computed	2026-07-05T09:22:12.838205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7db2b90cd2db2c7cc898a70bc035a84434e5247007569a68e3c516ab49c12b14

Aliases

arxiv: 2303.13458 · arxiv_version: 2303.13458v5 · doi: 10.48550/arxiv.2303.13458 · pith_short_12: PWZLSDGS3MWH · pith_short_16: PWZLSDGS3MWHZSEY · pith_short_8: PWZLSDGS

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/PWZLSDGS3MWHZSEYU4F4ANNIIQ \
  | 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: 7db2b90cd2db2c7cc898a70bc035a84434e5247007569a68e3c516ab49c12b14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5602c0d1739ea1c31af24941cf201f52fd6eb86b693d3f5ddd09ccd755434d5e",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-03-23T17:26:12Z",
    "title_canon_sha256": "91debb08e319e0d4f01668c9ab7614c99b905066668b931579bbf3eca187ff22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.13458",
    "kind": "arxiv",
    "version": 5
  }
}