Pith Number

pith:VHXRY3KT

pith:2026:VHXRY3KT6OCEWABKLKENH3YVKY

not attested not anchored not stored refs pending

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

Baptiste Royer, Maxence Mayrand

arxiv:2605.28784 v1 · 2026-05-27 · math.AG · math-ph · math.DG · math.MP · 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{VHXRY3KT6OCEWABKLKENH3YVKY}

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	2026-05-28T02:05:03.535742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9ef1c6d53f3844b002a5a88d3ef15562ef068ee95867919c9c0fb269cf82b0d

Aliases

arxiv: 2605.28784 · arxiv_version: 2605.28784v1 · doi: 10.48550/arxiv.2605.28784 · pith_short_12: VHXRY3KT6OCE · pith_short_16: VHXRY3KT6OCEWABK · pith_short_8: VHXRY3KT

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/VHXRY3KT6OCEWABKLKENH3YVKY \
  | 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: a9ef1c6d53f3844b002a5a88d3ef15562ef068ee95867919c9c0fb269cf82b0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc5da8883555fb0299df01daa2861f92010b02f3155733ebe2e9a404d8ea68a8",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-05-27T17:43:30Z",
    "title_canon_sha256": "20bf00aca26e28dc6c4fe49fbd7e39e136561a5a4ce22a2c0bfae1943e4f67b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.28784",
    "kind": "arxiv",
    "version": 1
  }
}