Pith Number

pith:3PIQYXKR

pith:2019:3PIQYXKR6ZGYHATJL4DKZKJM4Z

not attested not anchored not stored refs pending

Dichotomous Hamiltonians and Riccati equations for systems with unbounded control and observation operators

Christian Wyss

arxiv:1907.05806 v1 · 2019-07-12 · 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{3PIQYXKR6ZGYHATJL4DKZKJM4Z}

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	2026-05-17T23:40:44.338921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbd10c5d51f64d8382695f06aca92ce65cc2d93c9c7bab79bdd4a1f8db5df991

Aliases

arxiv: 1907.05806 · arxiv_version: 1907.05806v1 · doi: 10.48550/arxiv.1907.05806 · pith_short_12: 3PIQYXKR6ZGY · pith_short_16: 3PIQYXKR6ZGYHATJ · pith_short_8: 3PIQYXKR

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/3PIQYXKR6ZGYHATJL4DKZKJM4Z \
  | 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: dbd10c5d51f64d8382695f06aca92ce65cc2d93c9c7bab79bdd4a1f8db5df991

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ebc96919c32a044f07126af048f762205357b1167406584994d55573a91afbb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-07-12T15:48:08Z",
    "title_canon_sha256": "e579680db9e10d825e94a9d07e747327ae28805895bc7d28b4e7cf6885428251"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.05806",
    "kind": "arxiv",
    "version": 1
  }
}