Pith Number

pith:QCKUYUYK

pith:2021:QCKUYUYKNPM7RXBLWK2KQAMCET

not attested not anchored not stored refs pending

Generalized quantum subspace expansion

Hideaki Hakoshima, Nobuyuki Yoshioka, Suguru Endo, Yasunari Suzuki, Yuichiro Matsuzaki, Yuuki Tokunaga

arxiv:2107.02611 v3 · 2021-07-06 · 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{QCKUYUYKNPM7RXBLWK2KQAMCET}

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

1 paper in Pith

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods

Receipt and verification

First computed	2026-07-05T04:38:43.256834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80954c530a6bd9f8dc2bb2b4a8018224f0a76e561951741497274230ad994cae

Aliases

arxiv: 2107.02611 · arxiv_version: 2107.02611v3 · doi: 10.48550/arxiv.2107.02611 · pith_short_12: QCKUYUYKNPM7 · pith_short_16: QCKUYUYKNPM7RXBL · pith_short_8: QCKUYUYK

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/QCKUYUYKNPM7RXBLWK2KQAMCET \
  | 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: 80954c530a6bd9f8dc2bb2b4a8018224f0a76e561951741497274230ad994cae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c5b3b4113c8118d29721d5c4c0c18365efbc5ce10105d89e17e546097748e6c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-07-06T13:34:19Z",
    "title_canon_sha256": "9097ce408ab93866755ecc170d86532d52fbba6a603a6e85a4814b3d67704894"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.02611",
    "kind": "arxiv",
    "version": 3
  }
}