Pith Number

pith:45C7SB4A

pith:2026:45C7SB4AS4TZZ3S7ZA3BDNDP7V

not attested not anchored not stored refs pending

Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks

Andrew Saxe, Leena Chennuru Vankadara, Peter E. Latham, Yedi Zhang

arxiv:2607.07884 v1 · 2026-07-08 · 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{45C7SB4AS4TZZ3S7ZA3BDNDP7V}

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	2026-07-10T00:19:04.007360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e745f9078097279cee5fc83611b46ffd7fcb617c69cdafb6a6ba4f7cf5ad6b19

Aliases

arxiv: 2607.07884 · arxiv_version: 2607.07884v1 · doi: 10.48550/arxiv.2607.07884 · pith_short_12: 45C7SB4AS4TZ · pith_short_16: 45C7SB4AS4TZZ3S7 · pith_short_8: 45C7SB4A

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/45C7SB4AS4TZZ3S7ZA3BDNDP7V \
  | 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: e745f9078097279cee5fc83611b46ffd7fcb617c69cdafb6a6ba4f7cf5ad6b19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54641ec84b668c90411368d8d8a64355a77de8dd0266e6697acc8c371cd6a7a6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-08T19:39:11Z",
    "title_canon_sha256": "5e766de8ae006ef1ab0724c8adeb7ee3a6be9c69a5b65678503aa4c3a35607ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07884",
    "kind": "arxiv",
    "version": 1
  }
}