Pith Number

pith:4TI6RN3H

pith:2024:4TI6RN3HTC7TZDKIEBZYHHAXT7

not attested not anchored not stored refs pending

Cascade of phase transitions in the training of Energy-based models

Aur\'elien Decelle, Beatriz Seoane, Dimitrios Bachtis, Giulio Biroli

arxiv:2405.14689 v4 · 2024-05-23 · cs.LG · cond-mat.dis-nn · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4TI6RN3HTC7TZDKIEBZYHHAXT7}

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	2026-07-05T10:11:58.843582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4d1e8b76798bf3c8d482073839c179fcec6a2807c54d45698941dc537b76027

Aliases

arxiv: 2405.14689 · arxiv_version: 2405.14689v4 · doi: 10.48550/arxiv.2405.14689 · pith_short_12: 4TI6RN3HTC7T · pith_short_16: 4TI6RN3HTC7TZDKI · pith_short_8: 4TI6RN3H

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/4TI6RN3HTC7TZDKIEBZYHHAXT7 \
  | 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: e4d1e8b76798bf3c8d482073839c179fcec6a2807c54d45698941dc537b76027

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c01bf2afb072cb7fe763169b5cc8635ee9c2e5bbee46b2afb0efaf3519c41f2",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-05-23T15:25:56Z",
    "title_canon_sha256": "8fd17340eeba402fb9602b3a4fdf1fbdcc339c7e75f3e4d1c24e01b742f50057"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.14689",
    "kind": "arxiv",
    "version": 4
  }
}