Pith Number

pith:Z3N4ZMIQ

pith:2010:Z3N4ZMIQCFB7MUNJDXBVQKFDYF

not attested not anchored not stored refs pending

Partial transposition of random states and non-centered semicircular distributions

Guillaume Aubrun

arxiv:1011.0275 v3 · 2010-11-01 · math.PR · 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{Z3N4ZMIQCFB7MUNJDXBVQKFDYF}

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

Bound entanglement in symmetric random induced states

Receipt and verification

First computed	2026-05-18T04:05:05.389293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cedbccb1101143f651a91dc35828a3c142a4fa1f22b80d72abf10cab8299bd44

Aliases

arxiv: 1011.0275 · arxiv_version: 1011.0275v3 · doi: 10.48550/arxiv.1011.0275 · pith_short_12: Z3N4ZMIQCFB7 · pith_short_16: Z3N4ZMIQCFB7MUNJ · pith_short_8: Z3N4ZMIQ

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/Z3N4ZMIQCFB7MUNJDXBVQKFDYF \
  | 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: cedbccb1101143f651a91dc35828a3c142a4fa1f22b80d72abf10cab8299bd44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86e61448fbe4fb3e22d0c7ce49f8b984fd01a13c68a16898c8176c8878e8f5c8",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-11-01T09:46:24Z",
    "title_canon_sha256": "dc648baf20e646648a9ea4d22abfce1936928fc7baa7d36beba7f1910d46497b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0275",
    "kind": "arxiv",
    "version": 3
  }
}