Pith Number

pith:N6VRV63B

pith:2015:N6VRV63BUA2MDQQW42Q4V6FCEE

not attested not anchored not stored refs pending

Low-rank Approximation of a Matrix: Novel Insights, New Progress, and Extensions

Liang Zhao, Victor Y. Pan

arxiv:1510.06142 v6 · 2015-10-21 · math.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{N6VRV63BUA2MDQQW42Q4V6FCEE}

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	2026-05-18T01:12:55.212788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fab1afb61a034c1c216e6a1caf8a22135eb42dfbd52fef81badd716333f59b0

Aliases

arxiv: 1510.06142 · arxiv_version: 1510.06142v6 · doi: 10.48550/arxiv.1510.06142 · pith_short_12: N6VRV63BUA2M · pith_short_16: N6VRV63BUA2MDQQW · pith_short_8: N6VRV63B

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/N6VRV63BUA2MDQQW42Q4V6FCEE \
  | 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: 6fab1afb61a034c1c216e6a1caf8a22135eb42dfbd52fef81badd716333f59b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db1e248c8b6dbb5409248c223f020e5a1b2ddcfa419417b649862e3792800185",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-10-21T06:22:55Z",
    "title_canon_sha256": "a5d523d326fd41b9a0226b9b1dab974f43c4d36f49dafe861968ef2f02c0a66d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06142",
    "kind": "arxiv",
    "version": 6
  }
}