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Pith Number

pith:H5O5WBW6

pith:2018:H5O5WBW6DNTMARI56VFCM4JDI2
not attested not anchored not stored refs pending

Quantum Circuit Depth Lower Bounds For Homological Codes

Dorit Aharonov, Yonathan Touati

arxiv:1810.03912 v1 · 2018-10-09 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{H5O5WBW6DNTMARI56VFCM4JDI2}

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 2026-05-18T00:03:44.285672Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3f5ddb06de1b66c0451df54a267123468cbe8caf0486154ea6f80e3b374ad67d

Aliases

arxiv: 1810.03912 · arxiv_version: 1810.03912v1 · doi: 10.48550/arxiv.1810.03912 · pith_short_12: H5O5WBW6DNTM · pith_short_16: H5O5WBW6DNTMARI5 · pith_short_8: H5O5WBW6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/H5O5WBW6DNTMARI56VFCM4JDI2 \
  | 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: 3f5ddb06de1b66c0451df54a267123468cbe8caf0486154ea6f80e3b374ad67d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4f944065bcb724445784ca1fe6b20e3a3fd269809d732a172c567e00117e7c52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-10-09T11:12:39Z",
    "title_canon_sha256": "ceab07fc08bd9ac23e5139e0bd2bf8b03135b9547b0fa9666a334a1d52bb8d11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.03912",
    "kind": "arxiv",
    "version": 1
  }
}