Pith Number

pith:ZXCWS3ZY

pith:2026:ZXCWS3ZYK6UXZPTIZBPU5NIAQ3

not attested not anchored not stored refs pending

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints

Joshua M. Siktar

arxiv:2607.21822 v1 · 2026-07-23 · math.OC · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZXCWS3ZYK6UXZPTIZBPU5NIAQ3}

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	2026-07-27T00:20:22.734029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdc5696f3857a97cbe68c85f4eb50086f7d2693f1a39a393afea2b81652e9a72

Aliases

arxiv: 2607.21822 · arxiv_version: 2607.21822v1 · doi: 10.48550/arxiv.2607.21822 · pith_short_12: ZXCWS3ZYK6UX · pith_short_16: ZXCWS3ZYK6UXZPTI · pith_short_8: ZXCWS3ZY

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/ZXCWS3ZYK6UXZPTIZBPU5NIAQ3 \
  | 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: cdc5696f3857a97cbe68c85f4eb50086f7d2693f1a39a393afea2b81652e9a72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "556afe5de8b5ef959518275155f22600f485edb0b2ffa9a4f8e6b4bd490ece2c",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-23T21:17:30Z",
    "title_canon_sha256": "d9b9bc7cb00e3999a64606cc698ab8a6bb2761d4613988e244e07e984bfbafe8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21822",
    "kind": "arxiv",
    "version": 1
  }
}