Pith Number

pith:A5E6OA7U

pith:2013:A5E6OA7UO6P2FPIYO5HMBLR4JC

not attested not anchored not stored refs pending

Convergence of the shooting algorithm for singular optimal control problems

Maria Soledad Aronna

arxiv:1307.0141 v1 · 2013-06-29 · math.OC · 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{A5E6OA7UO6P2FPIYO5HMBLR4JC}

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	2026-05-18T02:38:29.928540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0749e703f4779fa2bd18774ec0ae3c488aa379742dbaab3b75ab58ab99018dad

Aliases

arxiv: 1307.0141 · arxiv_version: 1307.0141v1 · doi: 10.48550/arxiv.1307.0141 · pith_short_12: A5E6OA7UO6P2 · pith_short_16: A5E6OA7UO6P2FPIY · pith_short_8: A5E6OA7U

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/A5E6OA7UO6P2FPIYO5HMBLR4JC \
  | 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: 0749e703f4779fa2bd18774ec0ae3c488aa379742dbaab3b75ab58ab99018dad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a89aa06417f982dab2101e94055d587f5629677645e8ec753e1c446465100d3",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-06-29T18:52:52Z",
    "title_canon_sha256": "2d2cba1ec5bc7ae1ed7950c836eac925495d84991adb92c42f8fcc2b7ae950d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0141",
    "kind": "arxiv",
    "version": 1
  }
}