Pith Number

pith:7C44VK6I

pith:2017:7C44VK6IZGICMD4YXGE23NR3ON

not attested not anchored not stored refs pending

Discrete time Pontryagin maximum principle for optimal control problems under state-action-frequency constraints

Debasish Chatterjee, Pradyumna Paruchuri

arxiv:1708.04419 v1 · 2017-08-15 · math.OC · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7C44VK6IZGICMD4YXGE23NR3ON}

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	2026-05-17T23:45:15.698021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8b9caabc8c990260f98b989adb63b735e426037dc83e481cd7c696bb2cfccd4

Aliases

arxiv: 1708.04419 · arxiv_version: 1708.04419v1 · doi: 10.48550/arxiv.1708.04419 · pith_short_12: 7C44VK6IZGIC · pith_short_16: 7C44VK6IZGICMD4Y · pith_short_8: 7C44VK6I

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/7C44VK6IZGICMD4YXGE23NR3ON \
  | 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: f8b9caabc8c990260f98b989adb63b735e426037dc83e481cd7c696bb2cfccd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5ff592abe7b3da3d6a2d6b57408be401394f1d33b864de1f4fc015eb17f4c18",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-08-15T07:42:04Z",
    "title_canon_sha256": "b0c1706066c90f0acf57471dbda914075de0dfb940e9d2fc01570456860879df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04419",
    "kind": "arxiv",
    "version": 1
  }
}