Pith Number

pith:CCNSNRZ2

pith:2020:CCNSNRZ2DIQVXFV4LUH2CXJA6O

not attested not anchored not stored refs pending

Five-Full-Block Structured Singular Values of Real Matrices Equal Their Upper Bounds

Olof Troeng

arxiv:2007.05222 v2 · 2020-07-10 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CCNSNRZ2DIQVXFV4LUH2CXJA6O}

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	2026-07-05T01:18:05.088823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

109b26c73a1a215b96bc5d0fa15d20f387bef10f8f5f759e9d8ba681bf4d5723

Aliases

arxiv: 2007.05222 · arxiv_version: 2007.05222v2 · doi: 10.48550/arxiv.2007.05222 · pith_short_12: CCNSNRZ2DIQV · pith_short_16: CCNSNRZ2DIQVXFV4 · pith_short_8: CCNSNRZ2

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/CCNSNRZ2DIQVXFV4LUH2CXJA6O \
  | 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: 109b26c73a1a215b96bc5d0fa15d20f387bef10f8f5f759e9d8ba681bf4d5723

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "116682829e8c0631878f7113fbf58570063f76473f742ebb8ef16145035d811c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-07-10T07:55:21Z",
    "title_canon_sha256": "206c23234d843db8543efa4a0525b3f6525688c1efcd6ea2c2294be395b59a0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.05222",
    "kind": "arxiv",
    "version": 2
  }
}