Pith Number

pith:2KOPN76P

pith:2005:2KOPN76P2RFOLMZ3INGXNVDYPJ

not attested not anchored not stored refs pending

Bounds on Multipartite Entangled Orthogonal State Discrimination Using Local Operations and Classical Communication

D. Markham, M. Hayashi, M. Murao, M. Owari, S. Virmani

arxiv:quant-ph/0506170 v2 · 2005-06-20 · 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{2KOPN76P2RFOLMZ3INGXNVDYPJ}

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

Relative entropy of entanglement of Haar random states

Receipt and verification

First computed	2026-07-04T16:57:36.450094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d29cf6ffcfd44ae5b33b434d76d4787a66db2908e3cab1af0effe0c2e00c6031

Aliases

arxiv: quant-ph/0506170 · arxiv_version: quant-ph/0506170v2 · doi: 10.48550/arxiv.quant-ph/0506170 · pith_short_12: 2KOPN76P2RFO · pith_short_16: 2KOPN76P2RFOLMZ3 · pith_short_8: 2KOPN76P

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/2KOPN76P2RFOLMZ3INGXNVDYPJ \
  | 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: d29cf6ffcfd44ae5b33b434d76d4787a66db2908e3cab1af0effe0c2e00c6031

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6300a6d85cb1c06b834eae2d89ae5e7a87749e898a702c5c49b44980ee73746",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-06-20T23:54:26Z",
    "title_canon_sha256": "7707a944a2ae0f9649483ebe7de1f56e5bc37f82b34076e286e96aa5b3c51f32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0506170",
    "kind": "arxiv",
    "version": 2
  }
}