Pith Number

pith:W36KD333

pith:2016:W36KD333EK6ZSNGJ26XI5HYKEP

not attested not anchored not stored refs pending

On the Relation between the Minimum Principle and Dynamic Programming for Classical and Hybrid Control Systems

Ali Pakniyat, Peter E. Caines

arxiv:1609.03158 v1 · 2016-09-11 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W36KD333EK6ZSNGJ26XI5HYKEP}

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	2026-05-18T00:50:19.134681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6fca1ef7b22bd9934c9d7ae8e9f0a23d88f8f3b38b7ff6a6bb6f8b3821de545

Aliases

arxiv: 1609.03158 · arxiv_version: 1609.03158v1 · doi: 10.48550/arxiv.1609.03158 · pith_short_12: W36KD333EK6Z · pith_short_16: W36KD333EK6ZSNGJ · pith_short_8: W36KD333

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/W36KD333EK6ZSNGJ26XI5HYKEP \
  | 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: b6fca1ef7b22bd9934c9d7ae8e9f0a23d88f8f3b38b7ff6a6bb6f8b3821de545

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59bbc0f16619ed0457eb844032005031acdae6a637fd811557f7fe4e023ac2f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-09-11T13:05:03Z",
    "title_canon_sha256": "e00a84b4feb5ccf9f380de4411285d821b267e9b0d3f31fc431a63dcaefd5bdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03158",
    "kind": "arxiv",
    "version": 1
  }
}