Pith Number

pith:WIWSHSRG

pith:2021:WIWSHSRGVKQ4RXTNT2QZTNA3TX

not attested not anchored not stored refs pending

KKT Conditions, First-Order and Second-Order Optimization, and Distributed Optimization: Tutorial and Survey

Ali Ghodsi, Benyamin Ghojogh, Fakhri Karray, Mark Crowley

arxiv:2110.01858 v1 · 2021-10-05 · math.OC · cs.DC · cs.LG · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WIWSHSRGVKQ4RXTNT2QZTNA3TX}

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

2 papers in Pith

SORA: Free Second-Order Attacks in Fast Adversarial Training

Foundations of Riemannian Geometry for Riemannian Optimization: A Monograph with Detailed Derivations

Receipt and verification

First computed	2026-07-05T03:20:07.067791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b22d23ca26aaa1c8de6d9ea199b41b9df7e46e6ddb13418e1580e2d547b4fa92

Aliases

arxiv: 2110.01858 · arxiv_version: 2110.01858v1 · doi: 10.48550/arxiv.2110.01858 · pith_short_12: WIWSHSRGVKQ4 · pith_short_16: WIWSHSRGVKQ4RXTN · pith_short_8: WIWSHSRG

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/WIWSHSRGVKQ4RXTNT2QZTNA3TX \
  | 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: b22d23ca26aaa1c8de6d9ea199b41b9df7e46e6ddb13418e1580e2d547b4fa92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e54a267a7ec26b7f292a9bcfa78cdb76e0a1c0b12eb28b447a0ac7a8236d7a3e",
    "cross_cats_sorted": [
      "cs.DC",
      "cs.LG",
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-10-05T07:50:37Z",
    "title_canon_sha256": "827d36176fac5058451bbc94b1a7aee81bc8f42096f06800ae1980753a3fbd04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.01858",
    "kind": "arxiv",
    "version": 1
  }
}