Pith Number

pith:L747ROZQ

pith:2013:L747ROZQKZGWSADWSLKCMJET6Z

not attested not anchored not stored refs pending

Schur--Agler and Herglotz--Agler classes of functions: positive-kernel decompositions and transfer-function realizations

Dmitry S. Kaliuzhnyi-Verbovetskyi, Joseph A. Ball

arxiv:1310.2187 v3 · 2013-10-08 · 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{L747ROZQKZGWSADWSLKCMJET6Z}

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	2026-05-18T02:25:04.857067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ff9f8bb30564d69007692d4262493f64426048f6cb0b6ea42da8c35689c479e

Aliases

arxiv: 1310.2187 · arxiv_version: 1310.2187v3 · doi: 10.48550/arxiv.1310.2187 · pith_short_12: L747ROZQKZGW · pith_short_16: L747ROZQKZGWSADW · pith_short_8: L747ROZQ

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/L747ROZQKZGWSADWSLKCMJET6Z \
  | 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: 5ff9f8bb30564d69007692d4262493f64426048f6cb0b6ea42da8c35689c479e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e045048e7688110145a8b57a4436ec6e6f4b6bce3d3934b5a56a033ec5b5e5cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-10-08T15:54:52Z",
    "title_canon_sha256": "7c64b73c48f8b96952800c0ca24072ac8c5a3e25284c627e566227b6f6eb1c00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2187",
    "kind": "arxiv",
    "version": 3
  }
}