Pith Number

pith:LBRRQEXL

pith:2026:LBRRQEXL24CRMLVTGCME4KDXGC

not attested not anchored not stored refs pending

Generalized Differentiability and Second-Order Necessary Optimality Conditions for an Elliptic Optimal Control Problem with Exponential Nonlinearity and Discrete Measures

Nguyen Hai Son, Phan Quang Sang, Tran Duy, Vu Huu Nhu

arxiv:2605.19339 v1 · 2026-05-19 · 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{LBRRQEXL24CRMLVTGCME4KDXGC}

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	2026-05-20T01:05:40.195342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58631812ebd705162eb330984e287730b26089c6bfdaf68ebb8a115003072705

Aliases

arxiv: 2605.19339 · arxiv_version: 2605.19339v1 · doi: 10.48550/arxiv.2605.19339 · pith_short_12: LBRRQEXL24CR · pith_short_16: LBRRQEXL24CRMLVT · pith_short_8: LBRRQEXL

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/LBRRQEXL24CRMLVTGCME4KDXGC \
  | 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: 58631812ebd705162eb330984e287730b26089c6bfdaf68ebb8a115003072705

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49c609cf510868050593def7f81f919ae6358d6ee673751bf983382caec4f3b9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-19T04:21:57Z",
    "title_canon_sha256": "73e814c49f6d1a947c5cde69c96ea462b892703c54ce3f4b162a2df0de99a255"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19339",
    "kind": "arxiv",
    "version": 1
  }
}