Pith Number

pith:FMD4VATW

pith:2026:FMD4VATWNBUZDY7FAOR2HMMBUT

not attested not anchored not stored refs pending

Exact versus tight-binding models in longitudinally modulated $\mathcal{PT}$-symmetric coupled waveguides

Alonso Contreras-Astorga, Jos\'e Israel Galindo-Rodr\'iguez

arxiv:2605.23853 v1 · 2026-05-22 · math-ph · math.MP · physics.optics · 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{FMD4VATWNBUZDY7FAOR2HMMBUT}

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	2026-05-25T02:02:36.029754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b07ca8276686991e3e503a3a3b181a4db973c4ab68352f2ad98af8bd5d05f99

Aliases

arxiv: 2605.23853 · arxiv_version: 2605.23853v1 · doi: 10.48550/arxiv.2605.23853 · pith_short_12: FMD4VATWNBUZ · pith_short_16: FMD4VATWNBUZDY7F · pith_short_8: FMD4VATW

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/FMD4VATWNBUZDY7FAOR2HMMBUT \
  | 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: 2b07ca8276686991e3e503a3a3b181a4db973c4ab68352f2ad98af8bd5d05f99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd9b60641b9595fefe8be9ac757a396cf61c767fd2ddaa444fcb7b4000b09c2b",
    "cross_cats_sorted": [
      "math.MP",
      "physics.optics",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-05-22T17:07:57Z",
    "title_canon_sha256": "0bd9cbf16e810dcf5fe017c1d00c0cdf53381c21f2d8bf7faefa1d61f5a61d6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23853",
    "kind": "arxiv",
    "version": 1
  }
}