Pith Number

pith:GZUSY4DG

pith:2007:GZUSY4DG7HAN76PLOXRMKM4ZWB

not attested not anchored not stored refs pending

A simple family of nonadditive quantum codes

Graeme Smith, John A. Smolin, Stephanie Wehner

arxiv:quant-ph/0701065 v2 · 2007-01-11 · 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{GZUSY4DG7HAN76PLOXRMKM4ZWB}

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	2026-07-04T17:08:41.388019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36692c7066f9c0dff9eb75e2c53399b04266761ecc18606dd6bfbaf4521fea91

Aliases

arxiv: quant-ph/0701065 · arxiv_version: quant-ph/0701065v2 · doi: 10.48550/arxiv.quant-ph/0701065 · pith_short_12: GZUSY4DG7HAN · pith_short_16: GZUSY4DG7HAN76PL · pith_short_8: GZUSY4DG

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/GZUSY4DG7HAN76PLOXRMKM4ZWB \
  | 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: 36692c7066f9c0dff9eb75e2c53399b04266761ecc18606dd6bfbaf4521fea91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b673687a448692c359c6a56d95aacaf72b4669e5c862b5774fc0b5c7847e518b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-01-11T21:18:43Z",
    "title_canon_sha256": "8cf0c0ad93eb7ed1fdc4830b7dbe0116ebcc06323e151bc1f9b7c751452fe45e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0701065",
    "kind": "arxiv",
    "version": 2
  }
}