Pith Number

pith:PH2YBHJX

pith:2022:PH2YBHJXCQFU4QAIH7IF3WVCDT

not attested not anchored not stored refs pending

Gradient Descent in the Absence of Global Lipschitz Continuity of the Gradients

Albert S. Berahas, Vivak Patel

arxiv:2210.02418 v2 · 2022-10-05 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PH2YBHJXCQFU4QAIH7IF3WVCDT}

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

Rethinking the Personalized Relaxed Initialization in the Federated Learning: Consistency and Generalization

Receipt and verification

First computed	2026-07-05T06:24:10.141827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79f5809d37140b4e40083fd05ddaa21cc6f60ceb8b647f49453a001ab6b7870f

Aliases

arxiv: 2210.02418 · arxiv_version: 2210.02418v2 · doi: 10.48550/arxiv.2210.02418 · pith_short_12: PH2YBHJXCQFU · pith_short_16: PH2YBHJXCQFU4QAI · pith_short_8: PH2YBHJX

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/PH2YBHJXCQFU4QAIH7IF3WVCDT \
  | 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: 79f5809d37140b4e40083fd05ddaa21cc6f60ceb8b647f49453a001ab6b7870f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff9ea56b98288cf87529698001dac5917157f31ec9ab654225d5345a46f9e328",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-10-05T17:37:09Z",
    "title_canon_sha256": "cadad05c204364d06dbfd78252c8b21ee46bf107fdd6b2e64b01afd6ee437838"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.02418",
    "kind": "arxiv",
    "version": 2
  }
}