Pith Number

pith:K7P5PXWP

pith:2025:K7P5PXWP5JBB34GSHVQB4GIDVS

not attested not anchored not stored refs pending

Universality of Photonic Interlacing Architectures for Learning Discrete Linear Unitaries

Alexey Ovchinnikov, Kevin Zelaya, Matthew Markowitz, Mohammad-Ali Miri

arxiv:2506.08454 v2 · 2025-06-10 · quant-ph · math-ph · math.MP · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K7P5PXWP5JBB34GSHVQB4GIDVS}

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	2026-07-05T11:19:53.849335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57dfd7decfea421df0d23d601e1903acb28ea306e116c4a36737fc2675538c3d

Aliases

arxiv: 2506.08454 · arxiv_version: 2506.08454v2 · doi: 10.48550/arxiv.2506.08454 · pith_short_12: K7P5PXWP5JBB · pith_short_16: K7P5PXWP5JBB34GS · pith_short_8: K7P5PXWP

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/K7P5PXWP5JBB34GSHVQB4GIDVS \
  | 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: 57dfd7decfea421df0d23d601e1903acb28ea306e116c4a36737fc2675538c3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "916e906fd33e60988e90fa6e05fb801d658eee27b444ac52af86196a3dc70bdc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.optics"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-06-10T05:18:47Z",
    "title_canon_sha256": "2e299e611de67ee402eb2619137a528500dede4fb675456e4e4bafc40ab3c333"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08454",
    "kind": "arxiv",
    "version": 2
  }
}