Pith Number

pith:OKBMB3JX

pith:2026:OKBMB3JXZKHTPDQQQESKOO4C6Z

not attested not anchored not stored refs pending

Approximate quantum error correction theory of non-isometric codes

Yijia Xu, Yixu Wang, Zi-Wen Liu

arxiv:2606.13559 v1 · 2026-06-11 · 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{OKBMB3JXZKHTPDQQQESKOO4C6Z}

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	2026-06-12T01:10:10.170781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7282c0ed37ca8f378e108124a73b82f66f2adb633e1e99289f77590f15240d70

Aliases

arxiv: 2606.13559 · arxiv_version: 2606.13559v1 · doi: 10.48550/arxiv.2606.13559 · pith_short_12: OKBMB3JXZKHT · pith_short_16: OKBMB3JXZKHTPDQQ · pith_short_8: OKBMB3JX

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/OKBMB3JXZKHTPDQQQESKOO4C6Z \
  | 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: 7282c0ed37ca8f378e108124a73b82f66f2adb633e1e99289f77590f15240d70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "233611005d2d47856753a1a847ed5e4bec322362e31bf38c42b26f7c3ff80723",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-11T16:42:06Z",
    "title_canon_sha256": "462ceea77e621a5e285601f8b485989eccb9b0bb577b671f3400251b3a063011"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13559",
    "kind": "arxiv",
    "version": 1
  }
}