Pith Number

pith:VGPWRSPR

pith:2025:VGPWRSPRXDV6GDGKVXDYYJZCMY

not attested not anchored not stored refs pending

Learning from one graph: transductive learning guarantees via the geometry of small random worlds

A. Martina Neuman, Anastasis Kratsios, Giulia Livieri, Luca Galimberti, Nils Detering

arxiv:2509.06894 v1 · 2025-09-08 · stat.ML · cs.LG · math.MG · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VGPWRSPRXDV6GDGKVXDYYJZCMY}

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	2026-07-05T12:06:54.685978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a99f68c9f1b8ebe30ccaadc78c2722662096beefa22efeb9ed23026db252da48

Aliases

arxiv: 2509.06894 · arxiv_version: 2509.06894v1 · doi: 10.48550/arxiv.2509.06894 · pith_short_12: VGPWRSPRXDV6 · pith_short_16: VGPWRSPRXDV6GDGK · pith_short_8: VGPWRSPR

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/VGPWRSPRXDV6GDGKVXDYYJZCMY \
  | 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: a99f68c9f1b8ebe30ccaadc78c2722662096beefa22efeb9ed23026db252da48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "defef088003593bd1b41d0039a2f61bfa386d6bb4e0c3c7476e0d5e2a54b2747",
    "cross_cats_sorted": [
      "cs.LG",
      "math.MG",
      "math.PR",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2025-09-08T17:13:28Z",
    "title_canon_sha256": "1c8330143e542ad89c49bf5b89f2f0fe5cdbf3380077781e8b537c870c1a0a81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.06894",
    "kind": "arxiv",
    "version": 1
  }
}