Pith Number

pith:YJKD4MWD

pith:2022:YJKD4MWDTTIUJV5OF7HIBPV6HI

not attested not anchored not stored refs pending

Deep Networks on Toroids: Removing Symmetries Reveals the Structure of Flat Regions in the Landscape Geometry

Antonio Ferraro, Carlo Baldassi, Christoph Feinauer, Fabrizio Pittorino, Gabriele Perugini, Riccardo Zecchina

arxiv:2202.03038 v2 · 2022-02-07 · cs.LG · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YJKD4MWDTTIUJV5OF7HIBPV6HI}

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	2026-07-05T05:22:43.673460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2543e32c39cd144d7ae2fce80bebe3a21b7225426dd79e0b2c575a7fe4b74f7

Aliases

arxiv: 2202.03038 · arxiv_version: 2202.03038v2 · doi: 10.48550/arxiv.2202.03038 · pith_short_12: YJKD4MWDTTIU · pith_short_16: YJKD4MWDTTIUJV5O · pith_short_8: YJKD4MWD

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/YJKD4MWDTTIUJV5OF7HIBPV6HI \
  | 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: c2543e32c39cd144d7ae2fce80bebe3a21b7225426dd79e0b2c575a7fe4b74f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43782c6454a6fbabdbc7019b2c29f0c49311b33ea93498ba11164a34483b2367",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-02-07T09:57:54Z",
    "title_canon_sha256": "5ac01b80fa99670885c0a91fcf0aa2d231b0defa4650da10e96798ca04046c56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.03038",
    "kind": "arxiv",
    "version": 2
  }
}