Pith Number

pith:TBQ6FOKI

pith:2026:TBQ6FOKIDH2MAQMPVMD5MGW3FF

not attested not anchored not stored refs pending

Decaying Sensitivity of the Zero Solution for a Class of Nonlinear Optimal Control Problems

Lars Gr\"une, Mario Sperl

arxiv:2602.05020 v2 · 2026-02-04 · math.OC · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TBQ6FOKIDH2MAQMPVMD5MGW3FF}

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	2026-05-20T00:04:24.398234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9861e2b94819f4c0418fab07d61adb2962b951ae99b40f961170fb7edf47f32f

Aliases

arxiv: 2602.05020 · arxiv_version: 2602.05020v2 · doi: 10.48550/arxiv.2602.05020 · pith_short_12: TBQ6FOKIDH2M · pith_short_16: TBQ6FOKIDH2MAQMP · pith_short_8: TBQ6FOKI

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/TBQ6FOKIDH2MAQMPVMD5MGW3FF \
  | 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: 9861e2b94819f4c0418fab07d61adb2962b951ae99b40f961170fb7edf47f32f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3b040e1da0eb49bfdf4608d29873ebe22e34aa6ba5c1155b2b4827a31c16437",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-02-04T20:20:23Z",
    "title_canon_sha256": "e816fd4a01258628715bdef2461f59b909d9e806a19f61bb87394b66e79c40b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.05020",
    "kind": "arxiv",
    "version": 2
  }
}