Pith Number

pith:KHEDTRIR

pith:2022:KHEDTRIRKJDLF6R5TYI2GJSXK3

not attested not anchored not stored refs pending

Gaussian beta ensembles: the perfect freezing transition and its characterization in terms of Beurling-Landau densities

Felipe Marceca, Jos\'e Luis Romero, Yacin Ameur

arxiv:2205.15054 v2 · 2022-05-30 · math.PR · math-ph · math.CV · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KHEDTRIRKJDLF6R5TYI2GJSXK3}

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

Smallest gaps of the two-dimensional Coulomb gas

Receipt and verification

First computed	2026-07-05T08:57:50.488048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51c839c5115246b2fa3d9e11a3265756d3bd5e8c42647a21ca137db9ae97ce0d

Aliases

arxiv: 2205.15054 · arxiv_version: 2205.15054v2 · doi: 10.48550/arxiv.2205.15054 · pith_short_12: KHEDTRIRKJDL · pith_short_16: KHEDTRIRKJDLF6R5 · pith_short_8: KHEDTRIR

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/KHEDTRIRKJDLF6R5TYI2GJSXK3 \
  | 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: 51c839c5115246b2fa3d9e11a3265756d3bd5e8c42647a21ca137db9ae97ce0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ce6afad2977975c36961a757309f1095dd45c07f4ef59eae8fedb531fd6e892",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-05-30T12:36:26Z",
    "title_canon_sha256": "868757099326b6dfea620eab7aecbc589a49a58b480743b1bdec7d94415faeed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.15054",
    "kind": "arxiv",
    "version": 2
  }
}