Pith Number

pith:6DY55LDC

pith:2025:6DY55LDCIXAVZJHKQ56QUDBUVE

not attested not anchored not stored refs pending

Finite size corrections in the bulk for circular $\beta$ ensembles

Bo-Jian Shen, Peter J. Forrester

arxiv:2505.09865 v2 · 2025-05-15 · math-ph · 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{6DY55LDCIXAVZJHKQ56QUDBUVE}

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

2 papers in Pith

Asymptotic Expansions of Gaussian and Laguerre Ensembles at the Soft Edge III: Generating Functions

Edge density expansions for the classical Gaussian and Laguerre ensembles

Receipt and verification

First computed	2026-07-05T12:05:16.806523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0f1deac6245c15ca4ea877d0a0c34a93318c205da870ceed1164b942ffe3b12

Aliases

arxiv: 2505.09865 · arxiv_version: 2505.09865v2 · doi: 10.48550/arxiv.2505.09865 · pith_short_12: 6DY55LDCIXAV · pith_short_16: 6DY55LDCIXAVZJHK · pith_short_8: 6DY55LDC

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/6DY55LDCIXAVZJHKQ56QUDBUVE \
  | 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: f0f1deac6245c15ca4ea877d0a0c34a93318c205da870ceed1164b942ffe3b12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7153f6847fbabd0fb336d64bdc3d7b036962d09727ded092ea294e091a04c91",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-05-15T00:02:42Z",
    "title_canon_sha256": "33cdb633d1faa2b1af065cd4ddf3eaab83bf04d4327385b674867c6c8815f237"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.09865",
    "kind": "arxiv",
    "version": 2
  }
}