Pith Number

pith:YGAE4UXI

pith:2009:YGAE4UXI6XO2SBKMZ2H2EJ57PB

not attested not anchored not stored refs pending

An Infinite Sequence of Additive Channels: the Classical Capacity of Cloning Channels

Kamil Bradler

arxiv:0903.1638 v7 · 2009-03-09 · quant-ph · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YGAE4UXI6XO2SBKMZ2H2EJ57PB}

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	2026-05-18T00:58:48.231778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1804e52e8f5dda9054cce8fa227bf787ec5042ba96ce761e79b0aade87d09dd

Aliases

arxiv: 0903.1638 · arxiv_version: 0903.1638v7 · doi: 10.48550/arxiv.0903.1638 · pith_short_12: YGAE4UXI6XO2 · pith_short_16: YGAE4UXI6XO2SBKM · pith_short_8: YGAE4UXI

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/YGAE4UXI6XO2SBKMZ2H2EJ57PB \
  | 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: c1804e52e8f5dda9054cce8fa227bf787ec5042ba96ce761e79b0aade87d09dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdce7840c7c4482db6a3337791586dee5f4b0daeab89408b86af6fe4b8c9bacc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-03-09T20:29:55Z",
    "title_canon_sha256": "7f5cbb23e72cbf46b9a1d3ba97a322cfd81e2c4d34ffbb8f593146d5e291de78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.1638",
    "kind": "arxiv",
    "version": 7
  }
}