Pith Number

pith:GCWZUG6I

pith:2026:GCWZUG6ITEQCP2XQEOXJT5JNUJ

not attested not anchored not stored refs pending

When Do Local Score Models Extrapolate Across Size? A Diagnostic Theory and Benchmark

Wenjie Xi

arxiv:2606.09705 v1 · 2026-06-08 · cs.LG · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCWZUG6ITEQCP2XQEOXJT5JNUJ}

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	2026-06-09T02:09:04.919285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30ad9a1bc8992027eaf023ae99f52da24af3155ad4dba60a3553d0455ba66898

Aliases

arxiv: 2606.09705 · arxiv_version: 2606.09705v1 · doi: 10.48550/arxiv.2606.09705 · pith_short_12: GCWZUG6ITEQC · pith_short_16: GCWZUG6ITEQCP2XQ · pith_short_8: GCWZUG6I

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/GCWZUG6ITEQCP2XQEOXJT5JNUJ \
  | 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: 30ad9a1bc8992027eaf023ae99f52da24af3155ad4dba60a3553d0455ba66898

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7165d9911fa4c8163473eb869f8cc73e8eee748f548af691538ca7524d970004",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-08T16:24:31Z",
    "title_canon_sha256": "c28b55e326a3efa5e3dfd17409b1b4e305668fdd0ad05deb206b0208d46983d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09705",
    "kind": "arxiv",
    "version": 1
  }
}