Pith Number

pith:QRFQLNR6

pith:2017:QRFQLNR65LOAFEFFPVAXCMPYAV

not attested not anchored not stored refs pending

A conservative de Branges-Rovnyak functional model for operator Schur functions on $\mathbb C^+$

Joseph A. Ball, Mikael Kurula, Olof J. Staffans

arxiv:1703.04705 v3 · 2017-03-14 · math.FA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QRFQLNR65LOAFEFFPVAXCMPYAV}

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	2026-05-18T00:32:31.080629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

844b05b63eeadc0290a57d417131f80551aed4d96796316903ad149eeb117411

Aliases

arxiv: 1703.04705 · arxiv_version: 1703.04705v3 · doi: 10.48550/arxiv.1703.04705 · pith_short_12: QRFQLNR65LOA · pith_short_16: QRFQLNR65LOAFEFF · pith_short_8: QRFQLNR6

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/QRFQLNR65LOAFEFFPVAXCMPYAV \
  | 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: 844b05b63eeadc0290a57d417131f80551aed4d96796316903ad149eeb117411

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2628362ff9c3460d31df5e7ac619cccca2d48c6cbefba2eaaeb7ec1e28c1d610",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-03-14T20:27:43Z",
    "title_canon_sha256": "2e52e68ffa6323d595c98e6c840b4cccb9beb6b8b0588b7914ca04439af1076c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.04705",
    "kind": "arxiv",
    "version": 3
  }
}