Pith Number

pith:QZEDEKMS

pith:2015:QZEDEKMSK6SL6VLM7ZSRHW42OS

not attested not anchored not stored refs pending

On the restricted invertibility problem with an additional orthogonality constraint for random matrices

Stephane Chretien

arxiv:1511.05463 v2 · 2015-11-17 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QZEDEKMSK6SL6VLM7ZSRHW42OS}

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	2026-05-18T01:25:17.657445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

864832299257a4bf556cfe6513db9a7496a5730a1c78efe265dda47968f308b9

Aliases

arxiv: 1511.05463 · arxiv_version: 1511.05463v2 · doi: 10.48550/arxiv.1511.05463 · pith_short_12: QZEDEKMSK6SL · pith_short_16: QZEDEKMSK6SL6VLM · pith_short_8: QZEDEKMS

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/QZEDEKMSK6SL6VLM7ZSRHW42OS \
  | 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: 864832299257a4bf556cfe6513db9a7496a5730a1c78efe265dda47968f308b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb81b51d311ce2eeac40fc18082909f15c354faa60c1f4d82445b402c3fcead0",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-11-17T16:46:23Z",
    "title_canon_sha256": "36033419e40dfc6de4683bbcbeb9b09094f810c7e8bfab2b62205d1270dc6833"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05463",
    "kind": "arxiv",
    "version": 2
  }
}