Pith Number

pith:VQEJVCMM

pith:2025:VQEJVCMM2C6TEK27NB3UDKRU2P

not attested not anchored not stored refs pending

Scaling Law for Large-Scale Pre-Training Using Chaotic Time Series and Predictability in Financial Time Series

Yuki Takemoto

arxiv:2509.04921 v1 · 2025-09-05 · 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{VQEJVCMM2C6TEK27NB3UDKRU2P}

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	2026-07-05T12:05:32.246567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac089a898cd0bd322b5f687741aa34d3e0e114c292afd3f1fce372bdc0cd8da9

Aliases

arxiv: 2509.04921 · arxiv_version: 2509.04921v1 · doi: 10.48550/arxiv.2509.04921 · pith_short_12: VQEJVCMM2C6T · pith_short_16: VQEJVCMM2C6TEK27 · pith_short_8: VQEJVCMM

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/VQEJVCMM2C6TEK27NB3UDKRU2P \
  | 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: ac089a898cd0bd322b5f687741aa34d3e0e114c292afd3f1fce372bdc0cd8da9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8384f7db453b3f3a2fc09953c79e12bf974b127b3a54fff69f8922558792c88",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-09-05T08:40:13Z",
    "title_canon_sha256": "e686cda11cfdef52813e7bc16e29a4fbb0e302adb760f18b3fa98721e9bf6990"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.04921",
    "kind": "arxiv",
    "version": 1
  }
}