Pith Number

pith:NQ5ZGJQB

pith:2009:NQ5ZGJQBQS6Y4HYRGFAQNSIIVO

not attested not anchored not stored refs pending

The private capacity of quantum channels is not additive

Andreas Winter, Guangcan Guo, Ke Li, xubo zou

arxiv:0903.4308 v2 · 2009-03-25 · 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{NQ5ZGJQBQS6Y4HYRGFAQNSIIVO}

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	2026-05-18T00:39:16.390863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c3b93260184bd8e1f11314106c908abbd270ac2bc4e3aa896f7e6968ff0462c

Aliases

arxiv: 0903.4308 · arxiv_version: 0903.4308v2 · doi: 10.48550/arxiv.0903.4308 · pith_short_12: NQ5ZGJQBQS6Y · pith_short_16: NQ5ZGJQBQS6Y4HYR · pith_short_8: NQ5ZGJQB

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/NQ5ZGJQBQS6Y4HYRGFAQNSIIVO \
  | 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: 6c3b93260184bd8e1f11314106c908abbd270ac2bc4e3aa896f7e6968ff0462c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e5995663b66de12c4f4cb3407a1681258b650d040644d8ed8afcfe2f118de6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-03-25T13:54:52Z",
    "title_canon_sha256": "b355ea06b85a998d511b58ffaf656737ac860c4d4be349df00057fc94588597d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.4308",
    "kind": "arxiv",
    "version": 2
  }
}