Pith Number

pith:TLKV27HO

pith:2023:TLKV27HO42KMF4W6EZUYH7OKI6

not attested not anchored not stored refs pending

The Pseudoinverse of $A=CR$ is $A^+=R^+C^+$ (?)

Gilbert Strang, Micha{\l} P. Karpowicz

arxiv:2305.01716 v3 · 2023-05-02 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TLKV27HO42KMF4W6EZUYH7OKI6}

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

Randomized Approach to Matrix Completion: Applications in Recommendation Systems and Image Inpainting

Receipt and verification

First computed	2026-07-05T08:00:59.257699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ad55d7ceee694c2f2de266983fdca47a8b5afb7a30a50509e054259596028fe

Aliases

arxiv: 2305.01716 · arxiv_version: 2305.01716v3 · doi: 10.48550/arxiv.2305.01716 · pith_short_12: TLKV27HO42KM · pith_short_16: TLKV27HO42KMF4W6 · pith_short_8: TLKV27HO

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/TLKV27HO42KMF4W6EZUYH7OKI6 \
  | 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: 9ad55d7ceee694c2f2de266983fdca47a8b5afb7a30a50509e054259596028fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36305736095380350418e16c94e8e4387fb93a5685f5c133fa1435653d656e59",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2023-05-02T18:28:22Z",
    "title_canon_sha256": "90cfc1aab175390433657f2e1a036bda4994964f0ea7c213091e6a516b2f0074"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.01716",
    "kind": "arxiv",
    "version": 3
  }
}