Pith Number

pith:KLFMW42M

pith:2024:KLFMW42MSM32AJEH6H2YHD6EC4

not attested not anchored not stored refs pending

Existence of Solutions for Fractional Optimal Control Problems with Superlinear-subcritical Controls

Joshua M. Siktar

arxiv:2408.09586 v2 · 2024-08-18 · 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{KLFMW42MSM32AJEH6H2YHD6EC4}

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.

Cited by

2 papers in Pith

A Mountain-Pass Algorithm for Nonlocal Problems with Super-quadratic Nonlinearities

Localization for nonlocal gradient-based optimal control problems

Receipt and verification

First computed	2026-07-05T09:10:02.740677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52cacb734c9337a02487f1f5838fc41708e743cdff0e042db436eefce69ae034

Aliases

arxiv: 2408.09586 · arxiv_version: 2408.09586v2 · doi: 10.48550/arxiv.2408.09586 · pith_short_12: KLFMW42MSM32 · pith_short_16: KLFMW42MSM32AJEH · pith_short_8: KLFMW42M

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/KLFMW42MSM32AJEH6H2YHD6EC4 \
  | 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: 52cacb734c9337a02487f1f5838fc41708e743cdff0e042db436eefce69ae034

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97c1dc82c9b0e64d5920036251e8bffd14dcd5d10333cc59fcf31a404f5f51ed",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-08-18T20:16:10Z",
    "title_canon_sha256": "857a6766b5d0c0ed73f4a6106c7d3b7e60831fb53dbfdefa1a04c893c724e03e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.09586",
    "kind": "arxiv",
    "version": 2
  }
}