Pith Number

pith:QA3DFBVR

pith:2019:QA3DFBVRQAUMILXOYJYRTPZMDW

not attested not anchored not stored refs pending

Distributed Gradient Descent: Nonconvergence to Saddle Points and the Stable-Manifold Theorem

Brian Swenson, H. Vincent Poor, Ryan Murray, Soummya Kar

arxiv:1908.02747 v2 · 2019-08-07 · math.OC · cs.MA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QA3DFBVRQAUMILXOYJYRTPZMDW}

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.

Receipt and verification

First computed	2026-07-05T00:14:20.664698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80363286b18028c42eeec27119bf2c1db77ff250d074a15a94b2d0ff579ade4b

Aliases

arxiv: 1908.02747 · arxiv_version: 1908.02747v2 · doi: 10.48550/arxiv.1908.02747 · pith_short_12: QA3DFBVRQAUM · pith_short_16: QA3DFBVRQAUMILXO · pith_short_8: QA3DFBVR

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/QA3DFBVRQAUMILXOYJYRTPZMDW \
  | 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: 80363286b18028c42eeec27119bf2c1db77ff250d074a15a94b2d0ff579ade4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e08f239f2e16f43f53c69d9ece6ee466228c3d71f9252f6894602ac494b0eb6",
    "cross_cats_sorted": [
      "cs.MA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-08-07T17:57:59Z",
    "title_canon_sha256": "9bc6a7c9edc68f6240261b6fdbb508b2cba80909bf2c461c9931b7860ee20c6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02747",
    "kind": "arxiv",
    "version": 2
  }
}