Pith Number

pith:DZTA7YFV

pith:2008:DZTA7YFVWBIA6LLCQUG7QKYPBB

not attested not anchored not stored refs pending

Error Estimates for Approximate Solutions of the Riccati Equation with Real or Complex Potentials

Felix Finster, Joel Smoller

arxiv:0807.4406 v2 · 2008-07-28 · math-ph · math.AP · math.CA · math.MP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DZTA7YFVWBIA6LLCQUG7QKYPBB}

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	2026-05-18T04:42:12.576757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e660fe0b5b0500f2d62850df82b0f087d02bc84f00b133df578eaec223ea7e7

Aliases

arxiv: 0807.4406 · arxiv_version: 0807.4406v2 · doi: 10.48550/arxiv.0807.4406 · pith_short_12: DZTA7YFVWBIA · pith_short_16: DZTA7YFVWBIA6LLC · pith_short_8: DZTA7YFV

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/DZTA7YFVWBIA6LLCQUG7QKYPBB \
  | 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: 1e660fe0b5b0500f2d62850df82b0f087d02bc84f00b133df578eaec223ea7e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7272789bcaed44f2dd2932a715f7c1aa54bd0481192b226adb4ad609f7e59268",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA",
      "math.MP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-07-28T11:07:00Z",
    "title_canon_sha256": "07a5ad087ea350e030f0003297829baa491ef5022a86ed3815f295d94aff4da7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.4406",
    "kind": "arxiv",
    "version": 2
  }
}