Pith Number

pith:QJC34EXW

pith:2026:QJC34EXW3Z3OWRP55AUMKYC5IE

not attested not anchored not stored refs pending

Wigner's Phase Space Current for Variable Beam Splitters -- Phase Space Rotations and Newtonian Trajectories

Hsien-Yi Hsieh, Hua-Li Chen, Ole Steuernagel, Ray-Kuang Lee

arxiv:2606.24334 v1 · 2026-06-23 · quant-ph · 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{QJC34EXW3Z3OWRP55AUMKYC5IE}

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	2026-06-24T01:14:50.407616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8245be12f6de76eb45fde828c5605d413fc9b3df3cd522446a8cb5eb7458093d

Aliases

arxiv: 2606.24334 · arxiv_version: 2606.24334v1 · doi: 10.48550/arxiv.2606.24334 · pith_short_12: QJC34EXW3Z3O · pith_short_16: QJC34EXW3Z3OWRP5 · pith_short_8: QJC34EXW

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/QJC34EXW3Z3OWRP55AUMKYC5IE \
  | 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: 8245be12f6de76eb45fde828c5605d413fc9b3df3cd522446a8cb5eb7458093d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86072f194b0bb624dcb70edbc5079526a8c4e9f09a3f0fcc039621ef7d0e6eb7",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-23T09:19:59Z",
    "title_canon_sha256": "25e96c3fbb856accb001e567f35a46907b8b2047103b406c2fdb92a8d2a8e6a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24334",
    "kind": "arxiv",
    "version": 1
  }
}