Pith Number

pith:GP74GQIB

pith:2024:GP74GQIBI34FEUNQQ6U4SXURWU

not attested not anchored not stored refs pending

Lie algebraic invariants in quantum linear optics

Juan Carlos Garcia-Escartin, Julio Jos\'e Moyano-Fern\'andez, Pablo V. Parellada, Vicent Gimeno i Garcia

arxiv:2409.12223 v3 · 2024-09-18 · 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{GP74GQIBI34FEUNQQ6U4SXURWU}

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	2026-06-09T01:04:37.486673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33ffc3410146f85251b087a9c95e91b53eb2073b762f3f0555ebc34de0bb1cd1

Aliases

arxiv: 2409.12223 · arxiv_version: 2409.12223v3 · doi: 10.48550/arxiv.2409.12223 · pith_short_12: GP74GQIBI34F · pith_short_16: GP74GQIBI34FEUNQ · pith_short_8: GP74GQIB

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/GP74GQIBI34FEUNQQ6U4SXURWU \
  | 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: 33ffc3410146f85251b087a9c95e91b53eb2073b762f3f0555ebc34de0bb1cd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06238dd642ae1ec8507f70bfed97ca62a67574c8e36c1b0b82ddf2a672c06a6d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.optics"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2024-09-18T18:00:00Z",
    "title_canon_sha256": "69086c20cc74ea106658ee2c2101b463da3799f9718d76add86c7c0d046cf5cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.12223",
    "kind": "arxiv",
    "version": 3
  }
}