Pith Number

pith:PMAVD2BD

pith:2025:PMAVD2BDV55OV7N3FC4TVIBW2R

not attested not anchored not stored refs pending

On the Brown measure of $x + i y$, with $x,y$ selfadjoint and $y$ free Poisson

Alexandru Nica, Franz Lehner, Kamil Szpojankowski, Ping Zhong

arxiv:2512.23528 v2 · 2025-12-29 · math.OA · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMAVD2BDV55OV7N3FC4TVIBW2R}

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	2026-05-27T01:05:41.852961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b0151e823af7aeafdbb28b93aa036d47b7a4044c22bdd7279d5a7ba20385210

Aliases

arxiv: 2512.23528 · arxiv_version: 2512.23528v2 · doi: 10.48550/arxiv.2512.23528 · pith_short_12: PMAVD2BDV55O · pith_short_16: PMAVD2BDV55OV7N3 · pith_short_8: PMAVD2BD

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/PMAVD2BDV55OV7N3FC4TVIBW2R \
  | 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: 7b0151e823af7aeafdbb28b93aa036d47b7a4044c22bdd7279d5a7ba20385210

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4867e8b255ef9eb80430e784effbe88cf8322571714e31baa920e59075a5873",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2025-12-29T15:06:59Z",
    "title_canon_sha256": "3f404dac815504b23ef1e97151a245169d3dc4dbd2ac3b51ebced2110c1ea8d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.23528",
    "kind": "arxiv",
    "version": 2
  }
}