Pith Number

pith:DV3SAEJX

pith:2022:DV3SAEJXAME3ACJEU5KBQ7ZHDZ

not attested not anchored not stored refs pending

Gap probabilities for the Bures-Hall Ensemble and the Cauchy-Laguerre Two-Matrix Model

L. Wei, N. S. Witte

arxiv:2208.03278 v1 · 2022-08-05 · math.CA · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DV3SAEJXAME3ACJEU5KBQ7ZHDZ}

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	2026-07-05T04:46:22.526836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d772011370309b00924a754187f271e7d1f0f064109d842b8a23c822d1012ad

Aliases

arxiv: 2208.03278 · arxiv_version: 2208.03278v1 · doi: 10.48550/arxiv.2208.03278 · pith_short_12: DV3SAEJXAME3 · pith_short_16: DV3SAEJXAME3ACJE · pith_short_8: DV3SAEJX

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/DV3SAEJXAME3ACJEU5KBQ7ZHDZ \
  | 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: 1d772011370309b00924a754187f271e7d1f0f064109d842b8a23c822d1012ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e164fd3b1558080582e60387e6c3acd0619edf206c59c46ebffa75be57d4ca40",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2022-08-05T16:52:13Z",
    "title_canon_sha256": "3b0609d4aea16848f681f4bf6dac1051288e2524539495975271e437d76094b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.03278",
    "kind": "arxiv",
    "version": 1
  }
}