Pith Number

pith:F3G3XHCL

pith:2022:F3G3XHCL5KVXET54TRV7D76GXT

not attested not anchored not stored refs pending

The Zak transform: a framework for quantum computation with the Gottesman-Kitaev-Preskill code

Ben Q. Baragiola, Giacomo Pantaleoni, Nicolas C. Menicucci

arxiv:2210.09494 v2 · 2022-10-18 · 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{F3G3XHCL5KVXET54TRV7D76GXT}

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	2026-07-05T07:41:37.489808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ecdbb9c4beaab724fbc9c6bf1ffc6bcf6a726a6d171416ee642fb420d63d4c7

Aliases

arxiv: 2210.09494 · arxiv_version: 2210.09494v2 · doi: 10.48550/arxiv.2210.09494 · pith_short_12: F3G3XHCL5KVX · pith_short_16: F3G3XHCL5KVXET54 · pith_short_8: F3G3XHCL

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/F3G3XHCL5KVXET54TRV7D76GXT \
  | 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: 2ecdbb9c4beaab724fbc9c6bf1ffc6bcf6a726a6d171416ee642fb420d63d4c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "178ebfbcc1fed28bcdeeade2a4e6e3b212cb5242475e2377cc9f58340f2309c5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2022-10-18T00:30:46Z",
    "title_canon_sha256": "fbe36eac268ff3c529b9cf88c04437cfa0224e85c8b0e0e90661a34131c4bf21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.09494",
    "kind": "arxiv",
    "version": 2
  }
}