Pith Number

pith:WILZIHPY

pith:2017:WILZIHPYROQM6YGM2CACMDVHKT

not attested not anchored not stored refs pending

Gradient Descent Can Take Exponential Time to Escape Saddle Points

Aarti Singh, Barnabas Poczos, Chi Jin, Jason D. Lee, Michael I. Jordan, Simon S. Du

arxiv:1705.10412 v2 · 2017-05-29 · math.OC · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WILZIHPYROQM6YGM2CACMDVHKT}

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

Distributed Learning in Non-Convex Environments -- Part II: Polynomial Escape from Saddle-Points

Receipt and verification

First computed	2026-05-18T00:31:19.318059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b217941df88ba0cf60ccd080260ea754cd10f2c4d5234e786ad95b231414ab21

Aliases

arxiv: 1705.10412 · arxiv_version: 1705.10412v2 · doi: 10.48550/arxiv.1705.10412 · pith_short_12: WILZIHPYROQM · pith_short_16: WILZIHPYROQM6YGM · pith_short_8: WILZIHPY

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/WILZIHPYROQM6YGM2CACMDVHKT \
  | 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: b217941df88ba0cf60ccd080260ea754cd10f2c4d5234e786ad95b231414ab21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9572245b2280015d0a1e299a2c3228c935fd5d7baba638367c74b249bbf1e26d",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-05-29T23:03:01Z",
    "title_canon_sha256": "37a31bb45fa84b75f2872147e9fe69aac38512d29dee40aafc79995254da9d1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.10412",
    "kind": "arxiv",
    "version": 2
  }
}