Pith Number

pith:VN33E3KY

pith:2025:VN33E3KY7GLPQNP4Y6R467M23G

not attested not anchored not stored refs pending

Quantum error-correcting codes via inner products and error bases

Jorge R. Bola\~nos-Serv\'in, Josu\'e I. Rios-Cangas, Yuriko Pitones

arxiv:2506.04530 v1 · 2025-06-05 · 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{VN33E3KY7GLPQNP4Y6R467M23G}

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	2026-07-05T11:16:16.025737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab77b26d58f996f835fcc7a3cf7d9ad99deadd83a2897309aee38266e7005831

Aliases

arxiv: 2506.04530 · arxiv_version: 2506.04530v1 · doi: 10.48550/arxiv.2506.04530 · pith_short_12: VN33E3KY7GLP · pith_short_16: VN33E3KY7GLPQNP4 · pith_short_8: VN33E3KY

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/VN33E3KY7GLPQNP4Y6R467M23G \
  | 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: ab77b26d58f996f835fcc7a3cf7d9ad99deadd83a2897309aee38266e7005831

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41990711fc32d561a8b372bdc935969630001f4fe125f7b2508ad60ccd2457e3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-06-05T00:46:35Z",
    "title_canon_sha256": "5108bd0705d6090314022766d4552eb95963d02d24d4f08bced15743751264a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.04530",
    "kind": "arxiv",
    "version": 1
  }
}