Pith Number

pith:MCYZGRBB

pith:2017:MCYZGRBB6C2XQLU6RI2YF4WAUN

not attested not anchored not stored refs pending

On the CNOT-complexity of CNOT-PHASE circuits

Matthew Amy, Michele Mosca, Parsiad Azimzadeh

arxiv:1712.01859 v2 · 2017-12-05 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MCYZGRBB6C2XQLU6RI2YF4WAUN}

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	2026-05-17T23:50:02.727525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60b1934421f0b5782e9e8a3582f2c0a37d837679468e4fef1096ea7070083ecc

Aliases

arxiv: 1712.01859 · arxiv_version: 1712.01859v2 · doi: 10.48550/arxiv.1712.01859 · pith_short_12: MCYZGRBB6C2X · pith_short_16: MCYZGRBB6C2XQLU6 · pith_short_8: MCYZGRBB

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/MCYZGRBB6C2XQLU6RI2YF4WAUN \
  | 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: 60b1934421f0b5782e9e8a3582f2c0a37d837679468e4fef1096ea7070083ecc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3af2ed1e996a60abc02ffee35f842c6db4853cdeccfe4086e70b766a0546edb0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-12-05T19:00:19Z",
    "title_canon_sha256": "11daedd32cec220f30ea64246af97a664aaf514b2f96da9bade8e86d254d7d1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.01859",
    "kind": "arxiv",
    "version": 2
  }
}