Pith Number

pith:LJTX2LLX

pith:1997:LJTX2LLXQXRKL2V44QO5PCMZ5J

not attested not anchored not stored refs pending

A Note on Non-Additive Quantum Codes

Markus Grassl, Thomas Beth (Universitaet Karlsruhe)

arxiv:quant-ph/9703016 v1 · 1997-03-10 · 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{LJTX2LLXQXRKL2V44QO5PCMZ5J}

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	2026-07-04T14:47:06.540619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a677d2d7785e2a5eabce41dd78999ea40b2466ed0ca498250cac7e46ec0a1c4

Aliases

arxiv: quant-ph/9703016 · arxiv_version: quant-ph/9703016v1 · doi: 10.48550/arxiv.quant-ph/9703016 · pith_short_12: LJTX2LLXQXRK · pith_short_16: LJTX2LLXQXRKL2V4 · pith_short_8: LJTX2LLX

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/LJTX2LLXQXRKL2V44QO5PCMZ5J \
  | 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: 5a677d2d7785e2a5eabce41dd78999ea40b2466ed0ca498250cac7e46ec0a1c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb815aca861194b75a6cf9d68a4ea5eb98b7f8fd1f89961434569f94ef3c25a3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1997-03-10T20:08:39Z",
    "title_canon_sha256": "1446e83e0d79d98fca4a0b751ef91c683aa00032d998fb6fa5b063c6634a103f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9703016",
    "kind": "arxiv",
    "version": 1
  }
}