Pith Number

pith:HDQ7QYY3

pith:2020:HDQ7QYY3QDIL4LW6O2UWY6MB46

not attested not anchored not stored refs pending

Hadamard-free circuits expose the structure of the Clifford group

Dmitri Maslov, Sergey Bravyi

arxiv:2003.09412 v2 · 2020-03-20 · 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{HDQ7QYY3QDIL4LW6O2UWY6MB46}

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.

Cited by

2 papers in Pith

Universal purification dynamics of monitored Clifford circuits

Magic state cultivation: growing T states as cheap as CNOT gates

Receipt and verification

First computed	2026-07-05T04:12:33.541629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38e1f8631b80d0be2ede76a96c7981e7983014bde846a1596b2867f40df872a7

Aliases

arxiv: 2003.09412 · arxiv_version: 2003.09412v2 · doi: 10.48550/arxiv.2003.09412 · pith_short_12: HDQ7QYY3QDIL · pith_short_16: HDQ7QYY3QDIL4LW6 · pith_short_8: HDQ7QYY3

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/HDQ7QYY3QDIL4LW6O2UWY6MB46 \
  | 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: 38e1f8631b80d0be2ede76a96c7981e7983014bde846a1596b2867f40df872a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1e95fbeebb8ca7d8b63480e4b99ecf2376646b92f616edcb61b92b5a1d7667f",
    "cross_cats_sorted": [
      "cs.ET"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2020-03-20T17:51:36Z",
    "title_canon_sha256": "98fcc9c1bfdba11e8e27a09c6858d0570470419b5434717d9eec2ea7e8699c8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.09412",
    "kind": "arxiv",
    "version": 2
  }
}