Pith Number

pith:E7QDJOH2

pith:1997:E7QDJOH2JOBMGQM66K4THCTSYY

not attested not anchored not stored refs pending

On the Structure of Additive Quantum Codes and the Existence of Nonadditive Codes

Farrokh Vatan, Vwani P. Roychowdhury

arxiv:quant-ph/9710031 v1 · 1997-10-09 · 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{E7QDJOH2JOBMGQM66K4THCTSYY}

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

Transversal Gates in Nonadditive Quantum Codes

Receipt and verification

First computed	2026-07-04T14:47:08.778022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27e034b8fa4b82c3419ef2b9338a72c63e8d12fa0c53c252eea091edded5b3ca

Aliases

arxiv: quant-ph/9710031 · arxiv_version: quant-ph/9710031v1 · doi: 10.48550/arxiv.quant-ph/9710031 · pith_short_12: E7QDJOH2JOBM · pith_short_16: E7QDJOH2JOBMGQM6 · pith_short_8: E7QDJOH2

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/E7QDJOH2JOBMGQM66K4THCTSYY \
  | 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: 27e034b8fa4b82c3419ef2b9338a72c63e8d12fa0c53c252eea091edded5b3ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dcd452abee205c9dbc21e8ec64967e9b122197ba0208ba6fb7113a1ac4ed8b7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1997-10-09T21:46:39Z",
    "title_canon_sha256": "5bd02b9d43a97c73ae2dabb0c25c7126191004c81d0e82cf7db1f9ff54683df9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9710031",
    "kind": "arxiv",
    "version": 1
  }
}