Pith Number

pith:O5AHZT43

pith:2007:O5AHZT43JZ7BKIUL7WN5Y3LBLY

not attested not anchored not stored refs pending

Multivariable generalizations of the Schur class: positive kernel characterization and transfer function realization

Animikh Biswas, Joseph A. Ball, Quanlei Fang, Sanne ter Horst

arxiv:0705.2042 v3 · 2007-05-14 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O5AHZT43JZ7BKIUL7WN5Y3LBLY}

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	2026-05-18T04:09:16.623531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77407ccf9b4e7e15228bfd9bdc6d615e3800c1344bfe0745c32a2a0757616572

Aliases

arxiv: 0705.2042 · arxiv_version: 0705.2042v3 · doi: 10.48550/arxiv.0705.2042 · pith_short_12: O5AHZT43JZ7B · pith_short_16: O5AHZT43JZ7BKIUL · pith_short_8: O5AHZT43

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/O5AHZT43JZ7BKIUL7WN5Y3LBLY \
  | 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: 77407ccf9b4e7e15228bfd9bdc6d615e3800c1344bfe0745c32a2a0757616572

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92af0cfcf12ddaed6d1a0a5a52532e0442bf5aed7c1361dd3ddb21b4177bc254",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2007-05-14T22:17:26Z",
    "title_canon_sha256": "d71b89a3791bdc667b5428716169832f8a48ad671ea12d61a1ae55e2ce593919"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.2042",
    "kind": "arxiv",
    "version": 3
  }
}