Pith Number

pith:T42RW75Q

pith:2018:T42RW75QN6FMRI3N5UM5FMB5HM

not attested not anchored not stored refs pending

Bernstein approximation of optimal control problems

Antonio Pascoal, Claire Walton, Isaac Kaminer, Naira Hovakimyan, Venanzio Cichella

arxiv:1812.06132 v1 · 2018-12-14 · math.OC · cs.RO · 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{T42RW75QN6FMRI3N5UM5FMB5HM}

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	2026-05-17T23:58:13.091483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f351b7fb06f8ac8a36ded19d2b03d3b038a5a386b3414a59a012245a65c5c0c

Aliases

arxiv: 1812.06132 · arxiv_version: 1812.06132v1 · doi: 10.48550/arxiv.1812.06132 · pith_short_12: T42RW75QN6FM · pith_short_16: T42RW75QN6FMRI3N · pith_short_8: T42RW75Q

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/T42RW75QN6FMRI3N5UM5FMB5HM \
  | 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: 9f351b7fb06f8ac8a36ded19d2b03d3b038a5a386b3414a59a012245a65c5c0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "174d72760e2b9e787c68021526d29347bfea6ce3dcfa87eeadbe96e040320710",
    "cross_cats_sorted": [
      "cs.RO",
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-12-14T19:35:56Z",
    "title_canon_sha256": "640d6eb35d78ab5037529a4d95e28596bc35b701d9ff65feeec5819959ff1851"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.06132",
    "kind": "arxiv",
    "version": 1
  }
}