Pith Number

pith:3V6R2RGB

pith:2005:3V6R2RGBGGRKS6AYGBVUFB2WD5

not attested not anchored not stored refs pending

Simple test for quantum channel capacity

Marcin L. Nowakowski, Pawel Horodecki

arxiv:quant-ph/0503070 v2 · 2005-03-07 · 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{3V6R2RGBGGRKS6AYGBVUFB2WD5}

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	2026-05-18T01:37:57.968641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd7d1d44c131a2a97818306b4287561f60ad159dd5ca92dd2629aac336d5e943

Aliases

arxiv: quant-ph/0503070 · arxiv_version: quant-ph/0503070v2 · doi: 10.48550/arxiv.quant-ph/0503070 · pith_short_12: 3V6R2RGBGGRK · pith_short_16: 3V6R2RGBGGRKS6AY · pith_short_8: 3V6R2RGB

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/3V6R2RGBGGRKS6AYGBVUFB2WD5 \
  | 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: dd7d1d44c131a2a97818306b4287561f60ad159dd5ca92dd2629aac336d5e943

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1e0b08e9a4f51f4a41005fdfac10a3b048d75577932b4aea3b4ebdc7ea83159",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-03-07T15:50:13Z",
    "title_canon_sha256": "e2f4c3f48e53b9e23471beaf092b81c2932bc323ac598097029fd023fcef4600"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0503070",
    "kind": "arxiv",
    "version": 2
  }
}