Pith Number

pith:G4WHAVO5

pith:2024:G4WHAVO5BL2YMVUXXYQXDADCBL

not attested not anchored not stored refs pending

The fabulous world of GKP codes

Jonathan Conrad

arxiv:2412.02442 v1 · 2024-12-03 · quant-ph · math-ph · 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{G4WHAVO5BL2YMVUXXYQXDADCBL}

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

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

Receipt and verification

First computed	2026-07-05T09:43:49.903800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

372c7055dd0af5865697be217180620ae7e8be7f1188f764d1cc5c7908950b4f

Aliases

arxiv: 2412.02442 · arxiv_version: 2412.02442v1 · doi: 10.48550/arxiv.2412.02442 · pith_short_12: G4WHAVO5BL2Y · pith_short_16: G4WHAVO5BL2YMVUX · pith_short_8: G4WHAVO5

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/G4WHAVO5BL2YMVUXXYQXDADCBL \
  | 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: 372c7055dd0af5865697be217180620ae7e8be7f1188f764d1cc5c7908950b4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d82765a3b26e5c0bd4ce57ca3aa2d7652c225bc5e371204b035a72a564c2bdd",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2024-12-03T13:27:37Z",
    "title_canon_sha256": "ca29843e2e4891a273510172182c8452ba492c5861a3f0521f8609c6beb30e52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.02442",
    "kind": "arxiv",
    "version": 1
  }
}