Pith Number

pith:CN7RMSFS

pith:2015:CN7RMSFS2OT6C6M4UUGIW3U3G4

not attested not anchored not stored refs pending

Contractive determinantal representations of stable polynomials on a matrix polyball

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

arxiv:1503.06161 v1 · 2015-03-20 · math.FA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CN7RMSFS2OT6C6M4UUGIW3U3G4}

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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	2026-05-18T02:20:48.467864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

137f1648b2d3a7e1799ca50c8b6e9b373b6961e1d254ac1b04cbaeb7fa113373

Aliases

arxiv: 1503.06161 · arxiv_version: 1503.06161v1 · doi: 10.48550/arxiv.1503.06161 · pith_short_12: CN7RMSFS2OT6 · pith_short_16: CN7RMSFS2OT6C6M4 · pith_short_8: CN7RMSFS

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/CN7RMSFS2OT6C6M4UUGIW3U3G4 \
  | 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: 137f1648b2d3a7e1799ca50c8b6e9b373b6961e1d254ac1b04cbaeb7fa113373

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecca8d7322c6880504a309ac8d317ab29045b0eb8265c39fa27bfb20d49af376",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-03-20T17:07:14Z",
    "title_canon_sha256": "1e2b6e86fe83cfd57fbf9354c9d48f9aaf5ff8823084be6f798a90eb8dcf0b5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06161",
    "kind": "arxiv",
    "version": 1
  }
}