Pith Number

pith:XMNVQ56B

pith:2023:XMNVQ56B2PE3EJASNDHNK2NHHN

not attested not anchored not stored refs pending

Training trajectories, mini-batch losses and the curious role of the learning rate

Andrey Zhmoginov, Mark Sandler, Max Vladymyrov, Nolan Miller

arxiv:2301.02312 v2 · 2023-01-05 · 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{XMNVQ56B2PE3EJASNDHNK2NHHN}

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

ScheduleFree+: Scaling Learning-Rate-Free & Schedule-Free Learning to Large Language Models

Receipt and verification

First computed	2026-07-05T05:37:56.814582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb1b5877c1d3c9b2241268ced569a73b5ce9216ba50788f9822988ea41054df7

Aliases

arxiv: 2301.02312 · arxiv_version: 2301.02312v2 · doi: 10.48550/arxiv.2301.02312 · pith_short_12: XMNVQ56B2PE3 · pith_short_16: XMNVQ56B2PE3EJAS · pith_short_8: XMNVQ56B

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/XMNVQ56B2PE3EJASNDHNK2NHHN \
  | 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: bb1b5877c1d3c9b2241268ced569a73b5ce9216ba50788f9822988ea41054df7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0799f3823022ff304dff35d3e7dd826687ea3b6b198a7f01fbf6f05211a18c13",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-01-05T21:58:46Z",
    "title_canon_sha256": "99b478b45bf7dda793a997e72487cb035cab717bde3c3e21b285fd3e816c10c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.02312",
    "kind": "arxiv",
    "version": 2
  }
}