Pith Number

pith:ZUG7ULM4

pith:2006:ZUG7ULM43BLUBJUFF6JSH74LUS

not attested not anchored not stored refs pending

Controlled Quantum Dense Coding in a Four-particle Non-maximally Entangled State via Local Measurements

Bo-Xue Liu, Chang-Bao Fu, Chung-In Um, Kyu-Hwang Yeon, Shou Zhang, Yan Xia

arxiv:quant-ph/0601144 v1 · 2006-01-21 · 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{ZUG7ULM43BLUBJUFF6JSH74LUS}

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	2026-07-04T14:52:57.729247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd0dfa2d9cd85740a6852f9323ff8ba4ae03cb5601c0ab5dc22fa034a0fd73cd

Aliases

arxiv: quant-ph/0601144 · arxiv_version: quant-ph/0601144v1 · doi: 10.48550/arxiv.quant-ph/0601144 · pith_short_12: ZUG7ULM43BLU · pith_short_16: ZUG7ULM43BLUBJUF · pith_short_8: ZUG7ULM4

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/ZUG7ULM43BLUBJUFF6JSH74LUS \
  | 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: cd0dfa2d9cd85740a6852f9323ff8ba4ae03cb5601c0ab5dc22fa034a0fd73cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ba7807ff5724019d302c12b9a9e21a446693dd25dbd72f5434d40cab05f524d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-01-21T07:12:57Z",
    "title_canon_sha256": "237d43e975605f648367e9abbdc566e967639e5a003fb3f8ff86825efe543155"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0601144",
    "kind": "arxiv",
    "version": 1
  }
}