Pith Number

pith:LRMUNZCN

pith:2022:LRMUNZCNPIMY4V2T2FGVQ2ERT6

not attested not anchored not stored refs pending

Quadratic models for understanding catapult dynamics of neural networks

Adityanarayanan Radhakrishnan, Chaoyue Liu, Libin Zhu, Mikhail Belkin

arxiv:2205.11787 v3 · 2022-05-24 · 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{LRMUNZCNPIMY4V2T2FGVQ2ERT6}

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.

Cited by

1 paper in Pith

Strategies for Improving Communication Efficiency in Distributed and Federated Learning: Compression, Local Training, and Personalization

Receipt and verification

First computed	2026-07-05T08:14:16.801089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c5946e44d7a198e5753d14d5868919f97a3da63abd0d8af8264f8f964eb8bbd

Aliases

arxiv: 2205.11787 · arxiv_version: 2205.11787v3 · doi: 10.48550/arxiv.2205.11787 · pith_short_12: LRMUNZCNPIMY · pith_short_16: LRMUNZCNPIMY4V2T · pith_short_8: LRMUNZCN

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/LRMUNZCNPIMY4V2T2FGVQ2ERT6 \
  | 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: 5c5946e44d7a198e5753d14d5868919f97a3da63abd0d8af8264f8f964eb8bbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd36327f93ebed507c90226468b4ce2c61ad41bce516f794676f6f21d224a707",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-05-24T05:03:06Z",
    "title_canon_sha256": "56e46c9a073dc31c3cff7c94f06cbba308bff8cb86421c268b58c110ea7059fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.11787",
    "kind": "arxiv",
    "version": 3
  }
}