Pith Number

pith:DYUTJQP2

pith:2026:DYUTJQP2MG4RDV5NQT4BRVELO2

not attested not anchored not stored refs pending

Exactly Solvable Diffraction-Grating Scattering Problems for TE and TM waves

Ali Mostafazadeh, Farhang Loran

arxiv:2607.13287 v1 · 2026-07-14 · physics.optics · math-ph · math.MP · 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{DYUTJQP2MG4RDV5NQT4BRVELO2}

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	2026-07-16T00:22:07.781865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e2934c1fa61b911d7ad84f818d48b7692f1b0e8a57311bc6e81861e0e8cb470

Aliases

arxiv: 2607.13287 · arxiv_version: 2607.13287v1 · doi: 10.48550/arxiv.2607.13287 · pith_short_12: DYUTJQP2MG4R · pith_short_16: DYUTJQP2MG4RDV5N · pith_short_8: DYUTJQP2

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/DYUTJQP2MG4RDV5NQT4BRVELO2 \
  | 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: 1e2934c1fa61b911d7ad84f818d48b7692f1b0e8a57311bc6e81861e0e8cb470

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa7291aa1568016bf45e040b4a45fd50ec8ab93981baa651078a469a6618501f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-07-14T21:49:56Z",
    "title_canon_sha256": "aa7f96f4f5fb5eccb88b2b843e985daddcf018e97c5744878fdd240b8795ed37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.13287",
    "kind": "arxiv",
    "version": 1
  }
}