Pith Number

pith:NRX7RJJ6

pith:2025:NRX7RJJ66XCX6UVAE4JDGKBIB6

not attested not anchored not stored refs pending

A meaningful optimal control problem in quantum and classical physics

Arnaud Lazarus (DALEMBERT), CaGE), Emmanuel Tr\'elat (LJLL (UMR\_7598)

arxiv:2507.13125 v1 · 2025-07-17 · math.OC · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NRX7RJJ66XCX6UVAE4JDGKBIB6}

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

Engineering classical waves with quantized energy spectra in periodic media

Wave-number lock-in in buckled elastic structures: an analogue to parametric instabilities

Receipt and verification

First computed	2026-07-05T11:38:55.126494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c6ff8a53ef5c57f52a027123328280f97d9195116724094a0724ca02a9012d6

Aliases

arxiv: 2507.13125 · arxiv_version: 2507.13125v1 · doi: 10.48550/arxiv.2507.13125 · pith_short_12: NRX7RJJ66XCX · pith_short_16: NRX7RJJ66XCX6UVA · pith_short_8: NRX7RJJ6

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/NRX7RJJ66XCX6UVAE4JDGKBIB6 \
  | 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: 6c6ff8a53ef5c57f52a027123328280f97d9195116724094a0724ca02a9012d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58541048b219faeb297b204252d8eafddf7a57cba0c45ce0f557eceb935007d8",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-07-17T13:43:37Z",
    "title_canon_sha256": "627cff486fe4d405845a8d65c6378c51373b4544de4104a9b3d1e0270a17db02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.13125",
    "kind": "arxiv",
    "version": 1
  }
}