Pith Number

pith:7S4JSQXK

pith:2013:7S4JSQXKEENG3WCLZPAOMXQJ2V

not attested not anchored not stored refs pending

Rational Cayley inner Herglotz-Agler functions: positive-kernel decompositions and transfer-function realizations

Dmitry S. Kaliuzhnyi-Verbovetskyi, Joseph A. Ball

arxiv:1310.1031 v1 · 2013-10-03 · 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{7S4JSQXKEENG3WCLZPAOMXQJ2V}

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	2026-05-18T03:11:24.703685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcb89942ea211a6dd84bcbc0e65e09d540c80f64f9410cc2f3c59db9f06be5ac

Aliases

arxiv: 1310.1031 · arxiv_version: 1310.1031v1 · doi: 10.48550/arxiv.1310.1031 · pith_short_12: 7S4JSQXKEENG · pith_short_16: 7S4JSQXKEENG3WCL · pith_short_8: 7S4JSQXK

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/7S4JSQXKEENG3WCLZPAOMXQJ2V \
  | 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: fcb89942ea211a6dd84bcbc0e65e09d540c80f64f9410cc2f3c59db9f06be5ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7458d9aeb8b8aa9333a1716db33d54dbcfbc2afee0e41405a844a95b890aaea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-10-03T16:47:47Z",
    "title_canon_sha256": "8df4cf3d2ec83b3571c9b160adbe9b6ca354376e7d78f2061b3a1ebb29d88234"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1031",
    "kind": "arxiv",
    "version": 1
  }
}