Pith Number

pith:Z7JQOSJY

pith:2014:Z7JQOSJYFTDSCKRICE64DT4CO6

not attested not anchored not stored refs pending

Optimal ancilla-free Clifford+V approximation of z-rotations

Neil J. Ross

arxiv:1409.4355 v2 · 2014-09-15 · quant-ph · cs.ET

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z7JQOSJYFTDSCKRICE64DT4CO6}

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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

1 paper in Pith

Number-Theoretic Characterizations of Some Restricted Clifford+T Circuits

Receipt and verification

First computed	2026-05-18T01:30:49.225219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfd30749382cc7212a28113dc1cf827783b722f4265e674db9c0dd77329d868d

Aliases

arxiv: 1409.4355 · arxiv_version: 1409.4355v2 · doi: 10.48550/arxiv.1409.4355 · pith_short_12: Z7JQOSJYFTDS · pith_short_16: Z7JQOSJYFTDSCKRI · pith_short_8: Z7JQOSJY

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/Z7JQOSJYFTDSCKRICE64DT4CO6 \
  | 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: cfd30749382cc7212a28113dc1cf827783b722f4265e674db9c0dd77329d868d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4418e565a2d3c6721737ef8e92ce77ef727afce9b7e8642d826350c099d008f",
    "cross_cats_sorted": [
      "cs.ET"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-09-15T18:09:08Z",
    "title_canon_sha256": "5dcb563791509fb9bd6d37fbd253e04bb093957ddd1855501adf2366827b782e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4355",
    "kind": "arxiv",
    "version": 2
  }
}