Pith Number

pith:D54MWF6P

pith:2007:D54MWF6PL2QAWSMVIQFTZPP6PR

not attested not anchored not stored refs pending

Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization

Benjamin Recht, Maryam Fazel, Pablo A. Parrilo

arxiv:0706.4138 v1 · 2007-06-28 · math.OC · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D54MWF6PL2QAWSMVIQFTZPP6PR}

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	2026-05-18T04:42:34.642556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f78cb17cf5ea00b4995440b3cbdfe7c6158cf71d395f4a4188b6d2831fdceb8

Aliases

arxiv: 0706.4138 · arxiv_version: 0706.4138v1 · doi: 10.48550/arxiv.0706.4138 · pith_short_12: D54MWF6PL2QA · pith_short_16: D54MWF6PL2QAWSMV · pith_short_8: D54MWF6P

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/D54MWF6PL2QAWSMVIQFTZPP6PR \
  | 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: 1f78cb17cf5ea00b4995440b3cbdfe7c6158cf71d395f4a4188b6d2831fdceb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "506cb935e074ddca310123f707826d2921d654b593aeee0c8deb868c0dfc4970",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "math.OC",
    "submitted_at": "2007-06-28T04:54:42Z",
    "title_canon_sha256": "9147ee5d4ed76981d87c35274ab54e07c7f457c7b1fbecc674dc7130f43f20cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.4138",
    "kind": "arxiv",
    "version": 1
  }
}