Pith Number

pith:CEDEF2RN

pith:2017:CEDEF2RNGJWITQYCUMSP7EWQWK

not attested not anchored not stored refs pending

Second-Order Necessary Conditions for Optimal Control of Semilinear Elliptic Equations with Leading Term Containing Controls

Hongwei Lou, Jiongmin Yong

arxiv:1703.08649 v1 · 2017-03-25 · 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{CEDEF2RNGJWITQYCUMSP7EWQWK}

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	2026-05-18T00:47:55.977032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

110642ea2d326c89c302a324ff92d0b28e47d61f82159ed83fbfde494e958d8c

Aliases

arxiv: 1703.08649 · arxiv_version: 1703.08649v1 · doi: 10.48550/arxiv.1703.08649 · pith_short_12: CEDEF2RNGJWI · pith_short_16: CEDEF2RNGJWITQYC · pith_short_8: CEDEF2RN

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/CEDEF2RNGJWITQYCUMSP7EWQWK \
  | 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: 110642ea2d326c89c302a324ff92d0b28e47d61f82159ed83fbfde494e958d8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "941f911bbde1e997fa2ea7b56eee2feb8de4019e1c66e54e6ee654d96a0727fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-03-25T04:55:23Z",
    "title_canon_sha256": "68f163fd1e8ba5f1ba5e719fd576be86f35e09e2150ae72294eb84632a4302f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08649",
    "kind": "arxiv",
    "version": 1
  }
}