Pith Number

pith:BTZLZMD7

pith:2017:BTZLZMD76NQOIRNHH32KCVXREV

not attested not anchored not stored refs pending

First-order Methods Almost Always Avoid Saddle Points

Benjamin Recht, Georgios Piliouras, Ioannis Panageas, Jason D. Lee, Max Simchowitz, Michael I. Jordan

arxiv:1710.07406 v1 · 2017-10-20 · stat.ML · cs.LG · 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{BTZLZMD76NQOIRNHH32KCVXREV}

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	2026-05-18T00:32:24.929540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cf2bcb07ff360e445a73ef4a156f1256b7a77c77e3deda515899e52f56f0253

Aliases

arxiv: 1710.07406 · arxiv_version: 1710.07406v1 · doi: 10.48550/arxiv.1710.07406 · pith_short_12: BTZLZMD76NQO · pith_short_16: BTZLZMD76NQOIRNH · pith_short_8: BTZLZMD7

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/BTZLZMD76NQOIRNHH32KCVXREV \
  | 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: 0cf2bcb07ff360e445a73ef4a156f1256b7a77c77e3deda515899e52f56f0253

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "311af95270e7b0d98813975aec30aff246be2af0a1b4e3164af548fc5420b69e",
    "cross_cats_sorted": [
      "cs.LG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2017-10-20T03:34:56Z",
    "title_canon_sha256": "616482f330ed265e3dc60ff8a506e87d57c3c0f45490155ca2d8d9bc87ac65b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.07406",
    "kind": "arxiv",
    "version": 1
  }
}