Pith Number

pith:BFXHJX6P

pith:2018:BFXHJX6PNRRUWL3VH7DBKI4DWC

not attested not anchored not stored refs pending

Stochastic subgradient method converges at the rate $O(k^{-1/4})$ on weakly convex functions

Damek Davis, Dmitriy Drusvyatskiy

arxiv:1802.02988 v3 · 2018-02-08 · 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{BFXHJX6PNRRUWL3VH7DBKI4DWC}

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

The Measure of Deception: An Analysis of Data Forging in Machine Unlearning

Receipt and verification

First computed	2026-05-18T00:22:54.512268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

096e74dfcf6c634b2f753fc6152383b08342434aa4555e0a9977755579b8f2d9

Aliases

arxiv: 1802.02988 · arxiv_version: 1802.02988v3 · doi: 10.48550/arxiv.1802.02988 · pith_short_12: BFXHJX6PNRRU · pith_short_16: BFXHJX6PNRRUWL3V · pith_short_8: BFXHJX6P

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/BFXHJX6PNRRUWL3VH7DBKI4DWC \
  | 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: 096e74dfcf6c634b2f753fc6152383b08342434aa4555e0a9977755579b8f2d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40c2c15fd649f286810569aca2cb59a643b13eb199f0b025b6c5e1efe12303f0",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-02-08T18:03:12Z",
    "title_canon_sha256": "aca2c01d9d8560f1c8c31367ef08a77a47b75c7ca593c68e826c74984841040d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.02988",
    "kind": "arxiv",
    "version": 3
  }
}