Pith Number

pith:AUULQOFD

pith:2022:AUULQOFD4L6YNOCEKB5EIDTNUG

not attested not anchored not stored refs pending

Beyond spectral gap: The role of the topology in decentralized learning

Hadrien Hendrikx, Martin Jaggi, Thijs Vogels

arxiv:2206.03093 v2 · 2022-06-07 · 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{AUULQOFD4L6YNOCEKB5EIDTNUG}

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	2026-07-05T05:14:15.987927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0528b838a3e2fd86b844507a440e6da1ba7a12c154d9505e6caed26e0f8e5e0a

Aliases

arxiv: 2206.03093 · arxiv_version: 2206.03093v2 · doi: 10.48550/arxiv.2206.03093 · pith_short_12: AUULQOFD4L6Y · pith_short_16: AUULQOFD4L6YNOCE · pith_short_8: AUULQOFD

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/AUULQOFD4L6YNOCEKB5EIDTNUG \
  | 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: 0528b838a3e2fd86b844507a440e6da1ba7a12c154d9505e6caed26e0f8e5e0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da998252422066504cc0cc120548f270499f1023639b4dc23a75912b9190d2b4",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-06-07T08:19:06Z",
    "title_canon_sha256": "5c570b73c4b1ec7d213f8018f479c5be9179afa87a67e02d803c883d7159344c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.03093",
    "kind": "arxiv",
    "version": 2
  }
}