Pith Number

pith:NP5A5GCV

pith:2012:NP5A5GCVI6YSQVZPX3F2N4HWAW

not attested not anchored not stored refs pending

Multiaccess quantum communication and product higher rank numerical range

Karol \.Zyczkowski, Maciej Demianowicz, Pawe{\l} Horodecki

arxiv:1209.0119 v4 · 2012-09-01 · 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{NP5A5GCVI6YSQVZPX3F2N4HWAW}

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	2026-05-18T02:59:45.086459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bfa0e985547b128572fbecba6f0f605a9a642bab32121c5ca946d1414367ebc

Aliases

arxiv: 1209.0119 · arxiv_version: 1209.0119v4 · doi: 10.48550/arxiv.1209.0119 · pith_short_12: NP5A5GCVI6YS · pith_short_16: NP5A5GCVI6YSQVZP · pith_short_8: NP5A5GCV

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/NP5A5GCVI6YSQVZPX3F2N4HWAW \
  | 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: 6bfa0e985547b128572fbecba6f0f605a9a642bab32121c5ca946d1414367ebc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1bfbe0cd5556aa5e6ba6f3292bea59b00e584ca819360219b8e9b7e0af740cc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-09-01T18:37:50Z",
    "title_canon_sha256": "d896f71b357f568748aa77fff1c3e6e3fc6eeb6c45b60ffa68e8b74fbf0861b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0119",
    "kind": "arxiv",
    "version": 4
  }
}