Pith Number

pith:GCBCA3WO

pith:2016:GCBCA3WO2RWH7XJ5PYAVN6HQHN

not attested not anchored not stored refs pending

Certifiably Optimal Low Rank Factor Analysis

Dimitris Bertsimas, Martin S. Copenhaver, Rahul Mazumder

arxiv:1604.06837 v1 · 2016-04-23 · stat.ME · math.OC · stat.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCBCA3WO2RWH7XJ5PYAVN6HQHN}

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	2026-05-18T00:45:54.420031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3082206eced46c7fdd3d7e0156f8f03b76bc73071b748924cb086a92c90c7ce1

Aliases

arxiv: 1604.06837 · arxiv_version: 1604.06837v1 · doi: 10.48550/arxiv.1604.06837 · pith_short_12: GCBCA3WO2RWH · pith_short_16: GCBCA3WO2RWH7XJ5 · pith_short_8: GCBCA3WO

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/GCBCA3WO2RWH7XJ5PYAVN6HQHN \
  | 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: 3082206eced46c7fdd3d7e0156f8f03b76bc73071b748924cb086a92c90c7ce1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41719e482cebe991fe6f16fe7823e24a414c45b96dfd2b35e706ca29493297e3",
    "cross_cats_sorted": [
      "math.OC",
      "stat.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2016-04-23T00:24:14Z",
    "title_canon_sha256": "80b01390d2323de2322142a8307812cdbf0d1b670d635de90cee86ab8923cd32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06837",
    "kind": "arxiv",
    "version": 1
  }
}