Pith Number

pith:MJGZEF6P

pith:2024:MJGZEF6PGOWEEKIGL3H6EDMIE3

not attested not anchored not stored refs pending

Lattices, Gates, and Curves: GKP codes as a Rosetta stone

Ansgar G. Burchards, Jonathan Conrad, Steven T. Flammia

arxiv:2407.03270 v2 · 2024-07-03 · quant-ph · math-ph · math.AG · math.DG · math.GT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MJGZEF6PGOWEEKIGL3H6EDMIE3}

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

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes

Cups and Gates I: Cohomology invariants and logical quantum operations

Receipt and verification

First computed	2026-07-05T08:42:05.151244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

624d9217cf33ac4229065ecfe20d8826f48505dcd65af1fde90ba479120dfd88

Aliases

arxiv: 2407.03270 · arxiv_version: 2407.03270v2 · doi: 10.48550/arxiv.2407.03270 · pith_short_12: MJGZEF6PGOWE · pith_short_16: MJGZEF6PGOWEEKIG · pith_short_8: MJGZEF6P

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/MJGZEF6PGOWEEKIGL3H6EDMIE3 \
  | 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: 624d9217cf33ac4229065ecfe20d8826f48505dcd65af1fde90ba479120dfd88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f4e1d4849e3ab5b8fdea2eb8cf9e5010c051c97cca25d513e33dfbea25d147e",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.DG",
      "math.GT",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2024-07-03T16:57:53Z",
    "title_canon_sha256": "17edda2adc9e971a9e159074b351088fcf5ab61528d4f9eece8678b582033328"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.03270",
    "kind": "arxiv",
    "version": 2
  }
}