Pith Number

pith:US7X3Q4U

pith:2012:US7X3Q4U2BFTUCQJO3WYXPUQK5

not attested not anchored not stored refs pending

Consistent Approximations for the Optimal Control of Constrained Switched Systems

Humberto Gonzalez, Ramanarayan Vasudevan, Ruzena Bajcsy, S. Shankar Sastry

arxiv:1208.0062 v2 · 2012-08-01 · 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{US7X3Q4U2BFTUCQJO3WYXPUQK5}

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	2026-05-18T03:00:26.968237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4bf7dc394d04b3a0a0976ed8bbe90575f04e850e40f0f6a053f2dd7439407ba

Aliases

arxiv: 1208.0062 · arxiv_version: 1208.0062v2 · doi: 10.48550/arxiv.1208.0062 · pith_short_12: US7X3Q4U2BFT · pith_short_16: US7X3Q4U2BFTUCQJ · pith_short_8: US7X3Q4U

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/US7X3Q4U2BFTUCQJO3WYXPUQK5 \
  | 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: a4bf7dc394d04b3a0a0976ed8bbe90575f04e850e40f0f6a053f2dd7439407ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dbb76e7cdba927c6845f2c4001d13709c7e3f007c78d1a1ea0f51fd8f471e47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-08-01T01:24:07Z",
    "title_canon_sha256": "b4a7cef68ef3ada85c9988728b7c215ded37a082e7473075c2b935858bcbe794"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0062",
    "kind": "arxiv",
    "version": 2
  }
}