Pith Number

pith:JNNL2XOV

pith:2025:JNNL2XOVMOUM6LSPON6WCMOHVK

not attested not anchored not stored refs pending

Critical Ising model, Multiple SLE$_\kappa\left(\frac{\kappa-6}{2},\frac{\kappa-6}{2}\right)$ and $\beta$-Jacobi Ensemble

Mingchang Liu

arxiv:2504.14595 v1 · 2025-04-20 · 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{JNNL2XOVMOUM6LSPON6WCMOHVK}

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	2026-07-05T10:51:46.813724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b5abd5dd563a8cf2e4f737d6131c7aab1d4fc1d8cc915322717b353ecc25bf9

Aliases

arxiv: 2504.14595 · arxiv_version: 2504.14595v1 · doi: 10.48550/arxiv.2504.14595 · pith_short_12: JNNL2XOVMOUM · pith_short_16: JNNL2XOVMOUM6LSP · pith_short_8: JNNL2XOV

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/JNNL2XOVMOUM6LSPON6WCMOHVK \
  | 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: 4b5abd5dd563a8cf2e4f737d6131c7aab1d4fc1d8cc915322717b353ecc25bf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61eb4e6509dffe90ba23a112728bf75afb837666550f863e2e942daa71619cf5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-04-20T12:51:59Z",
    "title_canon_sha256": "3af469fb1bb1795fe3d514366f475b7462f3f869f76caa7baca6a3351d9d9ad7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.14595",
    "kind": "arxiv",
    "version": 1
  }
}