Pith Number

pith:QTG5VDRD

pith:2022:QTG5VDRD76FZCNZFZFYQW5S6JQ

not attested not anchored not stored refs pending

Quantization for decentralized learning under subspace constraints

Ali H. Sayed, Marc Antonini, Marco Carpentiero, Roula Nassif, Stefan Vlaski, Vincenzo Matta

arxiv:2209.07821 v2 · 2022-09-16 · math.OC · cs.LG · cs.MA · eess.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QTG5VDRD76FZCNZFZFYQW5S6JQ}

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	2026-07-05T06:35:45.497079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84cdda8e23ff8b913725c9710b765e4c07962f27e35991083c1e69a3b4f84082

Aliases

arxiv: 2209.07821 · arxiv_version: 2209.07821v2 · doi: 10.48550/arxiv.2209.07821 · pith_short_12: QTG5VDRD76FZ · pith_short_16: QTG5VDRD76FZCNZF · pith_short_8: QTG5VDRD

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/QTG5VDRD76FZCNZFZFYQW5S6JQ \
  | 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: 84cdda8e23ff8b913725c9710b765e4c07962f27e35991083c1e69a3b4f84082

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b8cd55fde34509b7c201b956c99aea6483f1417416ecfb4588d8ad003125071",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.MA",
      "eess.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-09-16T09:38:38Z",
    "title_canon_sha256": "545de2ae75fc18c56cfc3a585691d35d99aaf1add46dc195d4cead3a66a036c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.07821",
    "kind": "arxiv",
    "version": 2
  }
}