Pith Number

pith:JFRIOKKF

pith:2021:JFRIOKKFRXXWLJIDVRQDW4MRMR

not attested not anchored not stored refs pending

Active manifolds, stratifications, and convergence to local minima in nonsmooth optimization

Damek Davis, Dmitriy Drusvyatskiy, Liwei Jiang

arxiv:2108.11832 v2 · 2021-08-26 · 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{JFRIOKKFRXXWLJIDVRQDW4MRMR}

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

Accelerated Gradient Methods for Nonconvex Optimization: Escape Trajectories From Strict Saddle Points and Convergence to Local Minima

Receipt and verification

First computed	2026-07-05T05:31:34.270023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49628729458def65a503ac603b7191644775f0c9677225f5c216e14431a0ddc7

Aliases

arxiv: 2108.11832 · arxiv_version: 2108.11832v2 · doi: 10.48550/arxiv.2108.11832 · pith_short_12: JFRIOKKFRXXW · pith_short_16: JFRIOKKFRXXWLJID · pith_short_8: JFRIOKKF

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/JFRIOKKFRXXWLJIDVRQDW4MRMR \
  | 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: 49628729458def65a503ac603b7191644775f0c9677225f5c216e14431a0ddc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3eae31559d00b89c823f2d328b646b36d013c3cc3d40c4aef30a50b49a1cae6b",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-08-26T15:02:16Z",
    "title_canon_sha256": "6918ba9098ad7675e80b99c8cee66841453f887b7bd4adb6ca5e0483e89dbf85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.11832",
    "kind": "arxiv",
    "version": 2
  }
}