Pith Number

pith:VND2C7CJ

pith:2017:VND2C7CJX4RYML7GTBNEGRQCR3

not attested not anchored not stored refs pending

Ghost Penalties in Nonconvex Constrained Optimization: Diminishing Stepsizes and Iteration Complexity

Francisco Facchinei, Gesualdo Scutari, Lorenzo Lampariello, Vyacheslav Kungurtsev

arxiv:1709.03384 v3 · 2017-09-11 · 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{VND2C7CJX4RYML7GTBNEGRQCR3}

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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

Second-Order Guarantees of Stochastic Gradient Descent in Non-Convex Optimization

Receipt and verification

First computed	2026-07-05T01:06:45.464382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab47a17c49bf23862fe6985a4346028ee2b3fa6197b53d093373dd1fc05062dd

Aliases

arxiv: 1709.03384 · arxiv_version: 1709.03384v3 · doi: 10.48550/arxiv.1709.03384 · pith_short_12: VND2C7CJX4RY · pith_short_16: VND2C7CJX4RYML7G · pith_short_8: VND2C7CJ

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/VND2C7CJX4RYML7GTBNEGRQCR3 \
  | 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: ab47a17c49bf23862fe6985a4346028ee2b3fa6197b53d093373dd1fc05062dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c6e7235641836f2a840420d52d37165f1854cae778ae69371c724fe798c53ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-09-11T14:05:55Z",
    "title_canon_sha256": "fb280ccacb790ebd9d0d6bfb2c5c5112f97fe51a9158182d0b2a10981321b573"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.03384",
    "kind": "arxiv",
    "version": 3
  }
}