Pith Number

pith:O4CZIA3R

pith:2026:O4CZIA3RMMUWENHZFV3MVI7Y5G

not attested not anchored not stored refs pending

Dangerous Liaisons of Convex Learning and Non-Affine Aggregation

Aur\'elien Bellet, Batiste Le Bars, Nirupam Gupta, Thomas Boudou

arxiv:2606.28123 v1 · 2026-06-26 · cs.LG · math.OC · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O4CZIA3RMMUWENHZFV3MVI7Y5G}

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	2026-06-29T01:15:06.680945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

770594037163296234f92d76caa3f8e9a2bcd49d1995c33ec3b3418f825c35ad

Aliases

arxiv: 2606.28123 · arxiv_version: 2606.28123v1 · doi: 10.48550/arxiv.2606.28123 · pith_short_12: O4CZIA3RMMUW · pith_short_16: O4CZIA3RMMUWENHZ · pith_short_8: O4CZIA3R

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/O4CZIA3RMMUWENHZFV3MVI7Y5G \
  | 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: 770594037163296234f92d76caa3f8e9a2bcd49d1995c33ec3b3418f825c35ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5099f308ef6bb9c75737ab5d268090819a8a2d8fec420885c784822ce659e4a",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-26T14:24:11Z",
    "title_canon_sha256": "66ccba99c4dfee80cdeb314891a02538bb0c90166da2365690a76573b7355a33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28123",
    "kind": "arxiv",
    "version": 1
  }
}