Pith Number

pith:6454IK2T

pith:2011:6454IK2TX6EAIKQCD3OXLXK2ED

not attested not anchored not stored refs pending

Solvability of the $H^\infty$ algebraic Riccati equation in Banach algebras

Amol Sasane

arxiv:1107.5187 v1 · 2011-07-26 · math.OC · cs.SY · math.AP · math.FA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6454IK2TX6EAIKQCD3OXLXK2ED}

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	2026-05-18T04:16:43.178206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f73bc42b53bf88042a021edd75dd5a20cc5d2aade22634d23ed79d42426de9cf

Aliases

arxiv: 1107.5187 · arxiv_version: 1107.5187v1 · doi: 10.48550/arxiv.1107.5187 · pith_short_12: 6454IK2TX6EA · pith_short_16: 6454IK2TX6EAIKQC · pith_short_8: 6454IK2T

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/6454IK2TX6EAIKQCD3OXLXK2ED \
  | 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: f73bc42b53bf88042a021edd75dd5a20cc5d2aade22634d23ed79d42426de9cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81b2e8fb263fc00b134f83412d409fc229bb75113164b5e1894a566b29fc6c34",
    "cross_cats_sorted": [
      "cs.SY",
      "math.AP",
      "math.FA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-07-26T12:04:36Z",
    "title_canon_sha256": "d0d76673c576cfc5d85ba9f36c7ba1f9cc72dd6672975d907e8e04334e3ccd54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5187",
    "kind": "arxiv",
    "version": 1
  }
}