Pith Number

pith:BY36LH2K

pith:2016:BY36LH2KLZWTRFFQFKWJKEU4E5

not attested not anchored not stored refs pending

Nuclear Numerical Range and Quantum Error Correction Codes for non-unitary noise models

Karol \.Zyczkowski, Patryk Lipka-Bartosik

arxiv:1610.00930 v1 · 2016-10-04 · 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{BY36LH2KLZWTRFFQFKWJKEU4E5}

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	2026-05-18T00:51:57.542820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e37e59f4a5e6d3894b02aac95129c274582166bb4f174f956dd0c6d79529eae

Aliases

arxiv: 1610.00930 · arxiv_version: 1610.00930v1 · doi: 10.48550/arxiv.1610.00930 · pith_short_12: BY36LH2KLZWT · pith_short_16: BY36LH2KLZWTRFFQ · pith_short_8: BY36LH2K

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/BY36LH2KLZWTRFFQFKWJKEU4E5 \
  | 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: 0e37e59f4a5e6d3894b02aac95129c274582166bb4f174f956dd0c6d79529eae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f81d81bc9ad168e66915713b642e1ccc3dce54a65ecf1cacb132bac91faa70b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-10-04T11:07:15Z",
    "title_canon_sha256": "3c8f7d9432693cb6acaa97d6514b45c5d1aa7595b9f2177264b51ea9c955e526"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00930",
    "kind": "arxiv",
    "version": 1
  }
}