Pith Number

pith:BZCEU7UF

pith:2016:BZCEU7UFFXNFZ6KIQTUJGANJMO

not attested not anchored not stored refs pending

Gradient Descent Learns Linear Dynamical Systems

Benjamin Recht, Moritz Hardt, Tengyu Ma

arxiv:1609.05191 v2 · 2016-09-16 · cs.LG · cs.DS · math.OC · 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{BZCEU7UFFXNFZ6KIQTUJGANJMO}

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

3 papers in Pith

Introduction to Online Control

Structure learning of Hamiltonians from real-time evolution

Select-then-differentiate: Solving Bilevel Optimization with Manifold Lower-level Solution Sets

Receipt and verification

First computed	2026-05-17T23:54:27.012499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e444a7e852dda5cf94884e89301a963bb8c2430a973a73d8a9e3de3b5e05bd6

Aliases

arxiv: 1609.05191 · arxiv_version: 1609.05191v2 · doi: 10.48550/arxiv.1609.05191 · pith_short_12: BZCEU7UFFXNF · pith_short_16: BZCEU7UFFXNFZ6KI · pith_short_8: BZCEU7UF

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/BZCEU7UFFXNFZ6KIQTUJGANJMO \
  | 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: 0e444a7e852dda5cf94884e89301a963bb8c2430a973a73d8a9e3de3b5e05bd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84c29959a4622362adfc28d1453d96a3905f508039eb4b9a15cfc4e95884435a",
    "cross_cats_sorted": [
      "cs.DS",
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2016-09-16T19:42:34Z",
    "title_canon_sha256": "949ee3dd7b89b3ae84af7f6112ac5e90d45e34d69b50a895efc687f6dc2bd1ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05191",
    "kind": "arxiv",
    "version": 2
  }
}