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Pith Number

pith:W56UVOQU

pith:2021:W56UVOQURGG3BOPKIV4PYYUKSD
not attested not anchored not stored refs pending

Certain properties and applications of shallow bosonic circuits

Hugo Wallner, Kamil Bradler

arxiv:2112.09766 v1 · 2021-12-17 · quant-ph · math-ph · math.CO · math.MP · physics.optics

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{W56UVOQURGG3BOPKIV4PYYUKSD}

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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.

Cited by

2 papers in Pith

Receipt and verification
First computed 2026-07-05T03:41:50.709008Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b77d4aba14898db0b9ea4578fc628a90dddd04c233cc0b8967a51d230524554d

Aliases

arxiv: 2112.09766 · arxiv_version: 2112.09766v1 · doi: 10.48550/arxiv.2112.09766 · pith_short_12: W56UVOQURGG3 · pith_short_16: W56UVOQURGG3BOPK · pith_short_8: W56UVOQU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/W56UVOQURGG3BOPKIV4PYYUKSD \
  | 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: b77d4aba14898db0b9ea4578fc628a90dddd04c233cc0b8967a51d230524554d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4711f20923d4a5ba14821cfb90d35368b35bbf5083f7b3b7ddc8d8a920effab9",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-12-17T21:01:38Z",
    "title_canon_sha256": "c74cb0e9e357ad5728199508b267b29285a968997da6f97865d4369bd3dab980"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.09766",
    "kind": "arxiv",
    "version": 1
  }
}