Pith Number

pith:RZKLVUOI

pith:2015:RZKLVUOI7CQDXPHXZL6ZIFY3BO

not attested not anchored not stored refs pending

Matrix-valued Hermitian Positivstellensatz, lurking contractions, and contractive determinantal representations of stable polynomials

Anatolii Grinshpan, Dmitry S. Kaliuzhnyi-Verbovetskyi, Hugo J. Woerdeman, Victor Vinnikov

arxiv:1501.05527 v3 · 2015-01-20 · math.CV · math.CA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RZKLVUOI7CQDXPHXZL6ZIFY3BO}

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	2026-05-18T01:11:00.274116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e54bad1c8f8a03bbcf7cafd94171b0bbe1b677995783e317352362ed4eae615

Aliases

arxiv: 1501.05527 · arxiv_version: 1501.05527v3 · doi: 10.48550/arxiv.1501.05527 · pith_short_12: RZKLVUOI7CQD · pith_short_16: RZKLVUOI7CQDXPHX · pith_short_8: RZKLVUOI

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/RZKLVUOI7CQDXPHXZL6ZIFY3BO \
  | 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: 8e54bad1c8f8a03bbcf7cafd94171b0bbe1b677995783e317352362ed4eae615

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "486b5b89150982084bbc7c35f75fd0d4b594627c753e35af74ea562852c9072f",
    "cross_cats_sorted": [
      "math.CA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-01-20T20:30:21Z",
    "title_canon_sha256": "fad4c9afcf0fa4881de5a009e4f638880d1994cc76e03d88a98bce2876a5a35a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05527",
    "kind": "arxiv",
    "version": 3
  }
}