Pith Number

pith:C4UL7QAB

pith:2026:C4UL7QAB62CSKVMFOQDPPI7QL5

not attested not anchored not stored refs pending

Scalar Representations of Neural Network Training Dynamics

Lucas Lacasa, Miguel C. Soriano, Pedro Jim\'enez-Gonz\'alez

arxiv:2606.30384 v1 · 2026-06-29 · cs.LG · cond-mat.dis-nn · nlin.CD · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C4UL7QAB62CSKVMFOQDPPI7QL5}

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	2026-06-30T02:18:12.804499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1728bfc001f6852555857406f7a3f05f52a47fc8a4e64ba2a805117cbfb3172d

Aliases

arxiv: 2606.30384 · arxiv_version: 2606.30384v1 · doi: 10.48550/arxiv.2606.30384 · pith_short_12: C4UL7QAB62CS · pith_short_16: C4UL7QAB62CSKVMF · pith_short_8: C4UL7QAB

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/C4UL7QAB62CSKVMFOQDPPI7QL5 \
  | 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: 1728bfc001f6852555857406f7a3f05f52a47fc8a4e64ba2a805117cbfb3172d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8c3fc8c6672ad1abf8c987ecd5debb495076d29d84f1e906a03df2355c234ee",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "nlin.CD",
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-29T14:40:03Z",
    "title_canon_sha256": "6963db57a50a33c7d79ed4b49411469752333e8b8dba385eda2878fee28c9199"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30384",
    "kind": "arxiv",
    "version": 1
  }
}