Pith Number

pith:5FSPIXSV

pith:2026:5FSPIXSVWVVERZZPAUD7ZXM3PL

not attested not anchored not stored refs pending

Bridging Compute- and Data-Optimal Pretraining

David Alvarez-Melis, Kimia Hamidieh, Tian Qin

arxiv:2607.25271 v1 · 2026-07-28 · cs.LG · cs.AI · cs.PF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5FSPIXSVWVVERZZPAUD7ZXM3PL}

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	2026-07-29T00:25:12.059377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e964f45e55b56a48e72f0507fcdd9b7ac8280c750fb5917d0010017b7da482be

Aliases

arxiv: 2607.25271 · arxiv_version: 2607.25271v1 · doi: 10.48550/arxiv.2607.25271 · pith_short_12: 5FSPIXSVWVVE · pith_short_16: 5FSPIXSVWVVERZZP · pith_short_8: 5FSPIXSV

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/5FSPIXSVWVVERZZPAUD7ZXM3PL \
  | 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: e964f45e55b56a48e72f0507fcdd9b7ac8280c750fb5917d0010017b7da482be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2a8483ed21bdef84d90f80051161731d23840d175aa6c428c3f2e6376ced998",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.PF"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-28T04:18:49Z",
    "title_canon_sha256": "fd2844f629236671201631d59146dad15ec846746e89e8a43cb0bdc2280c3bd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25271",
    "kind": "arxiv",
    "version": 1
  }
}