Pith Number

pith:DCGHJKWL

pith:2020:DCGHJKWLU6CASBX37QG6ZFZ7IZ

not attested not anchored not stored refs pending

Lecture Notes on "Non-Commutative Distributions"

Roland Speicher

arxiv:2009.03589 v1 · 2020-09-08 · math.OA · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DCGHJKWLU6CASBX37QG6ZFZ7IZ}

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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

2 papers in Pith

Variational Formulas for the Spectrum of Block Wishart Matrices

An algebraic characterization of non-singular matrix semicircles

Receipt and verification

First computed	2026-07-05T01:33:48.862953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

188c74aacba7840906fbfc0dec973f46794a35e1dc9f84bcc74127c17450c456

Aliases

arxiv: 2009.03589 · arxiv_version: 2009.03589v1 · doi: 10.48550/arxiv.2009.03589 · pith_short_12: DCGHJKWLU6CA · pith_short_16: DCGHJKWLU6CASBX3 · pith_short_8: DCGHJKWL

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/DCGHJKWLU6CASBX37QG6ZFZ7IZ \
  | 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: 188c74aacba7840906fbfc0dec973f46794a35e1dc9f84bcc74127c17450c456

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0f62621b2e1b8faf032a02e41032541064c4638064f1ac4830431f95c5abe4b",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2020-09-08T09:00:49Z",
    "title_canon_sha256": "0d5468e0810315390ed38a976d6e51ddc2c54cf7aec1b256c697421f4343537b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.03589",
    "kind": "arxiv",
    "version": 1
  }
}