Pith Number

pith:RUKBOT7P

pith:2026:RUKBOT7PCT6R3Z6TXY55ZIP56N

not attested not anchored not stored refs pending

Towards joint scaling laws with optimal batch size schedules

Jiaxiang Li, Shiyun Xu, Zhiqi Bu

arxiv:2607.27731 v1 · 2026-07-30 · cs.LG · cs.AI · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RUKBOT7PCT6R3Z6TXY55ZIP56N}

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	2026-07-31T01:30:05.231087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

8d14174fef14fd1de7d3be3bdca1fdf35cad9604643d386fa5a8f232086310bd

Aliases

arxiv: 2607.27731 · arxiv_version: 2607.27731v1 · doi: 10.48550/arxiv.2607.27731 · pith_short_12: RUKBOT7PCT6R · pith_short_16: RUKBOT7PCT6R3Z6T · pith_short_8: RUKBOT7P

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/RUKBOT7PCT6R3Z6TXY55ZIP56N \
  | 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: 8d14174fef14fd1de7d3be3bdca1fdf35cad9604643d386fa5a8f232086310bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6fd69ff7b5b01d10ef99fee742ebf23525947cc44c26a7ff105334e5371fac4",
    "cross_cats_sorted": [
      "cs.AI",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-30T06:14:04Z",
    "title_canon_sha256": "fc0a833781c6f1a670d01e791a9499387e4db9765a11bb1451ca1bb4ebb8f0f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27731",
    "kind": "arxiv",
    "version": 1
  }
}