Pith Number

pith:KV3ODEP3

pith:2020:KV3ODEP3SGSS7AASPCD5XR6LTJ

not attested not anchored not stored refs pending

QR and LQ Decomposition Matrix Backpropagation Algorithms for Square, Wide, and Deep -- Real or Complex -- Matrices and Their Software Implementation

Denisa A.O. Roberts, Lucas R. Roberts

arxiv:2009.10071 v4 · 2020-09-19 · math.NA · cs.LG · cs.MS · cs.NA · 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{KV3ODEP3SGSS7AASPCD5XR6LTJ}

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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

Photonic processor benchmarking for variational quantum process tomography

Receipt and verification

First computed	2026-07-05T01:58:42.557859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5576e191fb91a52f80127887dbc7cb9a4b226a80174d9e0c22c9a75de6bdb7db

Aliases

arxiv: 2009.10071 · arxiv_version: 2009.10071v4 · doi: 10.48550/arxiv.2009.10071 · pith_short_12: KV3ODEP3SGSS · pith_short_16: KV3ODEP3SGSS7AAS · pith_short_8: KV3ODEP3

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/KV3ODEP3SGSS7AASPCD5XR6LTJ \
  | 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: 5576e191fb91a52f80127887dbc7cb9a4b226a80174d9e0c22c9a75de6bdb7db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ba15c0631776925bb8de55eb93de4cf6ab4f26e0c272860edcc079de32a90a4",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.MS",
      "cs.NA",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2020-09-19T21:03:37Z",
    "title_canon_sha256": "ab3aeaf573df225745ed8207e1c4e44362fae430933e543f6f1b4a7c2b7f6d91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.10071",
    "kind": "arxiv",
    "version": 4
  }
}