Pith Number

pith:762L3TU3

pith:2017:762L3TU3IO2BL6UM3HMRC24MT4

not attested not anchored not stored refs pending

On linear-quadratic optimal control of implicit difference equations

Daniel Bankmann, Matthias Voigt

arxiv:1703.01217 v4 · 2017-03-03 · 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{762L3TU3IO2BL6UM3HMRC24MT4}

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	2026-05-18T00:31:55.990569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffb4bdce9b43b415fa8cd9d9116b8c9f1c175f1a2a0a06f42e3fb8b4093383ed

Aliases

arxiv: 1703.01217 · arxiv_version: 1703.01217v4 · doi: 10.48550/arxiv.1703.01217 · pith_short_12: 762L3TU3IO2B · pith_short_16: 762L3TU3IO2BL6UM · pith_short_8: 762L3TU3

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/762L3TU3IO2BL6UM3HMRC24MT4 \
  | 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: ffb4bdce9b43b415fa8cd9d9116b8c9f1c175f1a2a0a06f42e3fb8b4093383ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2decf65c7dd18f1917d094f6e69e0506f846d37530f9ae6bcd63caad129e130",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-03-03T15:51:23Z",
    "title_canon_sha256": "f78c4cb82b298db509ccfed60bec1b458f02bdf5f6e2a9bb56cccc47739267db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.01217",
    "kind": "arxiv",
    "version": 4
  }
}