Pith Number

pith:QXMP5WRO

pith:2026:QXMP5WROTE6UC3FVR3FU7QYFN6

not attested not anchored not stored refs pending

Physics-Informed Neural Networks for Optimal Beam Shaping in Flat Optics

Rafael de la Fuente Herrezuelo

arxiv:2607.18012 v1 · 2026-07-20 · physics.optics · physics.comp-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{QXMP5WROTE6UC3FVR3FU7QYFN6}

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	2026-07-21T02:22:11.672648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85d8feda2e993d416cb58ecb4fc3056fa215bc36a1406110cb4bbce1b09f209e

Aliases

arxiv: 2607.18012 · arxiv_version: 2607.18012v1 · doi: 10.48550/arxiv.2607.18012 · pith_short_12: QXMP5WROTE6U · pith_short_16: QXMP5WROTE6UC3FV · pith_short_8: QXMP5WRO

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/QXMP5WROTE6UC3FVR3FU7QYFN6 \
  | 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: 85d8feda2e993d416cb58ecb4fc3056fa215bc36a1406110cb4bbce1b09f209e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc08505af8c9378d535b884b17ac1ef6127c1fabb6acdfa6e3dbfb24f8184178",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-07-20T14:45:55Z",
    "title_canon_sha256": "5c1057ee8b732927f040052850dece4650cd5f43ba27e17807f193317ef90ff9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18012",
    "kind": "arxiv",
    "version": 1
  }
}