Pith Number

pith:O75PLJGX

pith:2012:O75PLJGXADK34GTZTUY6N6GUVC

not attested not anchored not stored refs pending

The Normal Defect of Some Classes of Matrices

Hugo J. Woerdeman, Ryan D. Wasson

arxiv:1211.4145 v1 · 2012-11-17 · 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{O75PLJGXADK34GTZTUY6N6GUVC}

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	2026-05-18T03:33:13.701071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77faf5a4d700d5be1a799d31e6f8d4a88ecd536e4ccdb321a19bb56fc5030d00

Aliases

arxiv: 1211.4145 · arxiv_version: 1211.4145v1 · doi: 10.48550/arxiv.1211.4145 · pith_short_12: O75PLJGXADK3 · pith_short_16: O75PLJGXADK34GTZ · pith_short_8: O75PLJGX

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/O75PLJGXADK34GTZTUY6N6GUVC \
  | 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: 77faf5a4d700d5be1a799d31e6f8d4a88ecd536e4ccdb321a19bb56fc5030d00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbea047b10d63cded78147b8f5e8f30494475b8feda62d0739f52ba0a1bd1cae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-11-17T18:47:40Z",
    "title_canon_sha256": "53a138517fc740b56ae93aa43672f65a7835da3a53fcb25d1a207e6588506e28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4145",
    "kind": "arxiv",
    "version": 1
  }
}