Pith Number

pith:HYDOC54C

pith:2010:HYDOC54CKYSSGEG2E2J3PBABMW

not attested not anchored not stored refs pending

Optimal super dense coding over noisy quantum channels

Chiara Macchiavello, Dagmar Bruss, Hermann Kampermann, Zahra Shadman

arxiv:1004.5573 v2 · 2010-04-30 · 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{HYDOC54CKYSSGEG2E2J3PBABMW}

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	2026-05-18T02:07:44.363637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e06e1778256252310da2693b7840165802c1b66220338f35373a5a2e1d2337c

Aliases

arxiv: 1004.5573 · arxiv_version: 1004.5573v2 · doi: 10.48550/arxiv.1004.5573 · pith_short_12: HYDOC54CKYSS · pith_short_16: HYDOC54CKYSSGEG2 · pith_short_8: HYDOC54C

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/HYDOC54CKYSSGEG2E2J3PBABMW \
  | 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: 3e06e1778256252310da2693b7840165802c1b66220338f35373a5a2e1d2337c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb5198a8c1fe1938c1a29c69f0375f7103e316b4eea44b8d16690d53d45e1163",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-04-30T16:36:00Z",
    "title_canon_sha256": "90685ee52b3903544bae3c539031fa782359a9dc36ffcdf1c00abf0cfb18d4cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.5573",
    "kind": "arxiv",
    "version": 2
  }
}