Pith Number

pith:HCJXJYHR

pith:2003:HCJXJYHRTI2XETACK7PTIMMBQJ

not attested not anchored not stored refs pending

Kraus representation for density operator of arbitrary open qubit system

C. H. Oh, D. M. Tong, Jing-Ling Chen, L. C. Kwek

arxiv:quant-ph/0311091 v2 · 2003-11-13 · 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{HCJXJYHRTI2XETACK7PTIMMBQJ}

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	2026-05-18T01:37:58.955467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

389374e0f19a35724c0257df34318182686587a174affbaa5a05592fd5e51b29

Aliases

arxiv: quant-ph/0311091 · arxiv_version: quant-ph/0311091v2 · doi: 10.48550/arxiv.quant-ph/0311091 · pith_short_12: HCJXJYHRTI2X · pith_short_16: HCJXJYHRTI2XETAC · pith_short_8: HCJXJYHR

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/HCJXJYHRTI2XETACK7PTIMMBQJ \
  | 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: 389374e0f19a35724c0257df34318182686587a174affbaa5a05592fd5e51b29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa8cfea410d9c3c7a19a036294cf212d8fe37cf380430e8c181b6db815d2ce65",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-11-13T13:02:02Z",
    "title_canon_sha256": "e6fbdaccec67a39da125c66354a399ae4930693c535743b08edc80149b6397c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0311091",
    "kind": "arxiv",
    "version": 2
  }
}