Pith Number

pith:MIOFSXOZ

pith:2010:MIOFSXOZRY7JCBDGBV3HMN3UFA

not attested not anchored not stored refs pending

Structural optimization of the Ziegler's pendulum: singularities and exact optimal solutions

Oleg N. Kirillov

arxiv:1101.0246 v1 · 2010-12-31 · math.OC · math.DS · math.SP · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MIOFSXOZRY7JCBDGBV3HMN3UFA}

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	2026-05-18T04:13:56.706426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

621c595dd98e3e9104660d767637742813ca1ad93a50601c9060713bd43d4af5

Aliases

arxiv: 1101.0246 · arxiv_version: 1101.0246v1 · doi: 10.48550/arxiv.1101.0246 · pith_short_12: MIOFSXOZRY7J · pith_short_16: MIOFSXOZRY7JCBDG · pith_short_8: MIOFSXOZ

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/MIOFSXOZRY7JCBDGBV3HMN3UFA \
  | 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: 621c595dd98e3e9104660d767637742813ca1ad93a50601c9060713bd43d4af5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "635dd5ed277556ece99f89c4a278e367faf792eaf6cf2e35f83ccb1491cc0182",
    "cross_cats_sorted": [
      "math.DS",
      "math.SP",
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-12-31T12:37:55Z",
    "title_canon_sha256": "53d292644ea34a8fa5c06a22c7a8e27c6b78e8550ce89d9a0a818f99b1a4138b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0246",
    "kind": "arxiv",
    "version": 1
  }
}