Pith Number

pith:LLNEFMNH

pith:2021:LLNEFMNHQW7L7A3EEEMQXOXYGM

not attested not anchored not stored refs pending

Saddle Point Optimization with Approximate Minimization Oracle and its Application to Robust Berthing Control

Atsuo Maki, Yoshiki Miyauchi, Youhei Akimoto

arxiv:2105.11586 v4 · 2021-05-25 · math.OC · cs.NE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LLNEFMNHQW7L7A3EEEMQXOXYGM}

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	2026-07-05T03:45:09.263194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ada42b1a785bebf836421190bbaf83339808d118442c51306495b89c68b8128

Aliases

arxiv: 2105.11586 · arxiv_version: 2105.11586v4 · doi: 10.48550/arxiv.2105.11586 · pith_short_12: LLNEFMNHQW7L · pith_short_16: LLNEFMNHQW7L7A3E · pith_short_8: LLNEFMNH

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/LLNEFMNHQW7L7A3EEEMQXOXYGM \
  | 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: 5ada42b1a785bebf836421190bbaf83339808d118442c51306495b89c68b8128

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b94f15ad7b55540598897f5997fc79e854cabb6c0228966b7533fc130c7ee27d",
    "cross_cats_sorted": [
      "cs.NE"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-05-25T00:08:47Z",
    "title_canon_sha256": "35faba4c330aacf6a6432fdad718eb72032971df9e4cd6a74356a320b914f84f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.11586",
    "kind": "arxiv",
    "version": 4
  }
}