Pith Number

pith:S3LHR7BO

pith:2012:S3LHR7BO24GIZR3EOFV7SEOFWN

not attested not anchored not stored refs pending

Generalized Bures products from free probability

Andrzej Jarosz

arxiv:1202.5378 v1 · 2012-02-24 · math-ph · math.MP · 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{S3LHR7BO24GIZR3EOFV7SEOFWN}

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	2026-05-18T04:01:37.343342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96d678fc2ed70c8cc764716bf911c5b362ee03ba80d5610a58af73936e1979d7

Aliases

arxiv: 1202.5378 · arxiv_version: 1202.5378v1 · doi: 10.48550/arxiv.1202.5378 · pith_short_12: S3LHR7BO24GI · pith_short_16: S3LHR7BO24GIZR3E · pith_short_8: S3LHR7BO

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/S3LHR7BO24GIZR3EOFV7SEOFWN \
  | 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: 96d678fc2ed70c8cc764716bf911c5b362ee03ba80d5610a58af73936e1979d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db85aba7a714f4ce2a2ae0b431dfece197513d58d3f68c237fedc99b023b1a58",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-02-24T06:31:07Z",
    "title_canon_sha256": "29a10631dcd55529152b50c85c6b4bd00becd299b4e9eec2598926eac815c520"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5378",
    "kind": "arxiv",
    "version": 1
  }
}