Pith Number

pith:DGIHNTEK

pith:2015:DGIHNTEKW3YWJTILQ7X4ATHVFN

not attested not anchored not stored refs pending

Optimal Control of Hybrid Systems Using a Feedback Relaxed Control Formulation

Humberto Gonzalez, Tyler Westenbroek

arxiv:1510.09127 v2 · 2015-10-30 · 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{DGIHNTEKW3YWJTILQ7X4ATHVFN}

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	2026-05-18T01:13:40.010748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

199076cc8ab6f164cd0b87efc04cf52b5ad296bb3db10af523de2a8804d4777c

Aliases

arxiv: 1510.09127 · arxiv_version: 1510.09127v2 · doi: 10.48550/arxiv.1510.09127 · pith_short_12: DGIHNTEKW3YW · pith_short_16: DGIHNTEKW3YWJTIL · pith_short_8: DGIHNTEK

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/DGIHNTEKW3YWJTILQ7X4ATHVFN \
  | 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: 199076cc8ab6f164cd0b87efc04cf52b5ad296bb3db10af523de2a8804d4777c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17252e514689847414c41c45e206137498afe58ee76e199ddad03dc9d80a30f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-10-30T15:36:47Z",
    "title_canon_sha256": "3bcd36ff16c82a319e4074a86fac414ef84e8986b47cad33527463a88041c3a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.09127",
    "kind": "arxiv",
    "version": 2
  }
}