Pith Number

pith:QIOI5NMR

pith:2017:QIOI5NMRFA7C26KSYT5JKEDWPH

not attested not anchored not stored refs pending

A convex analysis approach to optimal controls with switching structure for partial differential equations

Christian Clason, Karl Kunisch, Kazufumi Ito

arxiv:1702.07540 v1 · 2017-02-24 · 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{QIOI5NMRFA7C26KSYT5JKEDWPH}

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	2026-05-18T00:50:02.968242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

821c8eb591283e2d7952c4fa95107679d61ec13855e47dfbfff595ad51940677

Aliases

arxiv: 1702.07540 · arxiv_version: 1702.07540v1 · doi: 10.48550/arxiv.1702.07540 · pith_short_12: QIOI5NMRFA7C · pith_short_16: QIOI5NMRFA7C26KS · pith_short_8: QIOI5NMR

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/QIOI5NMRFA7C26KSYT5JKEDWPH \
  | 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: 821c8eb591283e2d7952c4fa95107679d61ec13855e47dfbfff595ad51940677

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e465bf396adc0f83e9a44e2a1fb8c49a658a76ca7d80a204ecb476d872e51b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-02-24T11:18:27Z",
    "title_canon_sha256": "6dd20bfc9729d14442d0bf8141bbcea5df2e81929b830a9ad2f7a682a185c967"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.07540",
    "kind": "arxiv",
    "version": 1
  }
}