Pith Number

pith:UZSFB2CT

pith:2013:UZSFB2CTS5AMBEBBPZNWTTZHYS

not attested not anchored not stored refs pending

Bootstrap Testing of the Rank of a Matrix via Least Squared Constrained Estimation

Bernard Delyon (IRMAR), Fran\c{c}ois Portier (IRMAR)

arxiv:1301.0768 v1 · 2013-01-04 · 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{UZSFB2CTS5AMBEBBPZNWTTZHYS}

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	2026-05-18T03:36:57.796811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a66450e8539740c090217e5b69cf27c49cc7389aff7990dbff8177b9c2873977

Aliases

arxiv: 1301.0768 · arxiv_version: 1301.0768v1 · doi: 10.48550/arxiv.1301.0768 · pith_short_12: UZSFB2CTS5AM · pith_short_16: UZSFB2CTS5AMBEBB · pith_short_8: UZSFB2CT

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/UZSFB2CTS5AMBEBBPZNWTTZHYS \
  | 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: a66450e8539740c090217e5b69cf27c49cc7389aff7990dbff8177b9c2873977

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d13804fe1aafc30ed6708e0110b779640119996f747db544ea78a2016ee4c1fe",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-01-04T16:46:55Z",
    "title_canon_sha256": "2a42a8a278abbe69c43e45dd2a987bf3c60aa0dbcd8c7dfe958da462204a65ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0768",
    "kind": "arxiv",
    "version": 1
  }
}