Pith Number

pith:CQ7F6VGI

pith:2026:CQ7F6VGIL7PUGOYUDRIF43HRPE

not attested not anchored not stored refs pending

A solvable model for unsupervised federated learning

Aur\'elien Decelle, Beatriz Seoane, Daniele Tantari, Gianluca Manzan, Giovanni Catania

arxiv:2606.13045 v1 · 2026-06-11 · cond-mat.dis-nn · 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{CQ7F6VGIL7PUGOYUDRIF43HRPE}

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	2026-06-12T01:09:38.304996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

143e5f54c85fdf433b141c505e6cf1792e165258bc8256233ebdba393e1982b9

Aliases

arxiv: 2606.13045 · arxiv_version: 2606.13045v1 · doi: 10.48550/arxiv.2606.13045 · pith_short_12: CQ7F6VGIL7PU · pith_short_16: CQ7F6VGIL7PUGOYU · pith_short_8: CQ7F6VGI

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/CQ7F6VGIL7PUGOYUDRIF43HRPE \
  | 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: 143e5f54c85fdf433b141c505e6cf1792e165258bc8256233ebdba393e1982b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b640f4fc7e0353d9d8f8c7a863bd1d2a707b1db1c9fdb45b629ae785a1b4a208",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2026-06-11T08:30:40Z",
    "title_canon_sha256": "c6fbf000fe03b904c86d8fd7d105ae3f44cceed35227dc14fe281c051f6ddda3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13045",
    "kind": "arxiv",
    "version": 1
  }
}