Pith Number

pith:GGVQTTJ4

pith:2006:GGVQTTJ4JIEH6NDZA3LUMHCJDL

not attested not anchored not stored refs pending

Distribution of G-concurrence of random pure states

(2) Fachbereich Physik, 3) ((1) Centrum Fizyki Teoretycznej, (3) Instytut Fizyki im. Smoluchowskiego, Campus Duisburg, Duisburg, Germany, Hans-Juergen Sommers (2), Karol Zyczkowski (1, Krakow, Poland, Poland), Polska Akademia Nauk, Universitat Duisburg-Essen, Uniwersytet Jagiellonski, Valerio Cappellini (1), Warszawa

arxiv:quant-ph/0605251 v2 · 2006-05-31 · 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{GGVQTTJ4JIEH6NDZA3LUMHCJDL}

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.

Cited by

1 paper in Pith

Analytical Landscape of Maximal Magic for Two-Qutrit States and Beyond

Receipt and verification

First computed	2026-07-04T14:58:17.164965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31ab09cd3c4a087f347906d7461c491ae977dca3fab5ee8e297658fb523c1d46

Aliases

arxiv: quant-ph/0605251 · arxiv_version: quant-ph/0605251v2 · doi: 10.48550/arxiv.quant-ph/0605251 · pith_short_12: GGVQTTJ4JIEH · pith_short_16: GGVQTTJ4JIEH6NDZ · pith_short_8: GGVQTTJ4

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/GGVQTTJ4JIEH6NDZA3LUMHCJDL \
  | 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: 31ab09cd3c4a087f347906d7461c491ae977dca3fab5ee8e297658fb523c1d46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d4351d5c2aba728c3b9945e32e8a834ad4879e92d7ff6f7099d12ce8ae7ac84",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-05-31T16:26:33Z",
    "title_canon_sha256": "d567ba35f103ba5c2ebcde6a5e8eb85462821bff8f0fb8d7c169332c011babbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0605251",
    "kind": "arxiv",
    "version": 2
  }
}