Pith Number

pith:66IZUGS7

pith:2010:66IZUGS7YQUIDUYGDM3Q4LVMTI

not attested not anchored not stored refs pending

On Riccati equations in Banach algebras

Amol J. Sasane, Ruth F. Curtain

arxiv:1008.3462 v1 · 2010-08-20 · math.OC · 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{66IZUGS7YQUIDUYGDM3Q4LVMTI}

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	2026-05-18T04:08:34.865042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7919a1a5fc42881d3061b370e2eac9a06da5cf7fc650ff9c194620b3f6a1f3d

Aliases

arxiv: 1008.3462 · arxiv_version: 1008.3462v1 · doi: 10.48550/arxiv.1008.3462 · pith_short_12: 66IZUGS7YQUI · pith_short_16: 66IZUGS7YQUIDUYG · pith_short_8: 66IZUGS7

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/66IZUGS7YQUIDUYGDM3Q4LVMTI \
  | 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: f7919a1a5fc42881d3061b370e2eac9a06da5cf7fc650ff9c194620b3f6a1f3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fbcfde0b4b6bfaca4b04870942f84121e1b37bdb20171b0dc94710edf49f489",
    "cross_cats_sorted": [
      "math.FA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-08-20T09:08:04Z",
    "title_canon_sha256": "18f1b47ef36d458d583180961092cda414f3f4f015e7d45eb5e8e59201d7187b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3462",
    "kind": "arxiv",
    "version": 1
  }
}