Pith Number

pith:ZLWBYQPR

pith:2023:ZLWBYQPR3TWASHBDNECYHEW3U7

not attested not anchored not stored refs pending

Revisiting Subgradient Method: Complexity and Convergence Beyond Lipschitz Continuity

Anthony Man-Cho So, Daoli Zhu, Lei Zhao, Xiao Li

arxiv:2305.14161 v2 · 2023-05-23 · math.OC · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZLWBYQPR3TWASHBDNECYHEW3U7}

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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

Convergence of difference inclusions via a diameter criterion

Receipt and verification

First computed	2026-07-05T09:28:45.299826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caec1c41f1dcec091c2369058392dba7fcc484aeac648c7d82160108a7349b14

Aliases

arxiv: 2305.14161 · arxiv_version: 2305.14161v2 · doi: 10.48550/arxiv.2305.14161 · pith_short_12: ZLWBYQPR3TWA · pith_short_16: ZLWBYQPR3TWASHBD · pith_short_8: ZLWBYQPR

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/ZLWBYQPR3TWASHBDNECYHEW3U7 \
  | 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: caec1c41f1dcec091c2369058392dba7fcc484aeac648c7d82160108a7349b14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8ebddd5edd099683fb7605ba2b926267e754bfe2e45fb9a1c74f198f5572a7b",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-05-23T15:26:36Z",
    "title_canon_sha256": "0358e2dc293643eaf576333a6d08f441b814e2269956ae10b19376132dc33ddc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.14161",
    "kind": "arxiv",
    "version": 2
  }
}