Pith Number

pith:44OZFHJW

pith:2006:44OZFHJWWVVOJJJ6PCM2BANSGV

not attested not anchored not stored refs pending

Optimal dense coding with arbitrary pure entangled states

Runyao Duan, Yuan Feng, Zhengfeng Ji

arxiv:quant-ph/0604149 v2 · 2006-04-20 · 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{44OZFHJWWVVOJJJ6PCM2BANSGV}

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	2026-07-04T17:02:59.715745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e71d929d36b56ae4a53e7899a081b2356662ed8ae960414f24a8001f4101337e

Aliases

arxiv: quant-ph/0604149 · arxiv_version: quant-ph/0604149v2 · doi: 10.48550/arxiv.quant-ph/0604149 · pith_short_12: 44OZFHJWWVVO · pith_short_16: 44OZFHJWWVVOJJJ6 · pith_short_8: 44OZFHJW

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/44OZFHJWWVVOJJJ6PCM2BANSGV \
  | 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: e71d929d36b56ae4a53e7899a081b2356662ed8ae960414f24a8001f4101337e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0a237805cc7c80c4b41de2f0d7d18c24eb24f6fec38b5d4d47d10c6fb59fa92",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-04-20T11:45:43Z",
    "title_canon_sha256": "b0892709d85b5e503e76a26d2b88f6dc0f0085bdf8b046e866acfc38fc8d1ddc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0604149",
    "kind": "arxiv",
    "version": 2
  }
}