Pith Number

pith:BG2EU27O

pith:2024:BG2EU27OJIPLXTCPRHK7WQUHHR

not attested not anchored not stored refs pending

Bessel kernel determinants and integrable equations

Giulio Ruzza

arxiv:2401.11213 v3 · 2024-01-20 · 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{BG2EU27OJIPLXTCPRHK7WQUHHR}

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

Deformations of OP ensembles in a bulk critical scaling

Receipt and verification

First computed	2026-07-05T09:55:54.253501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09b44a6bee4a1ebbcc4f89d5fb42873c5e4bf21505dac5f48948d95abd5b5f3d

Aliases

arxiv: 2401.11213 · arxiv_version: 2401.11213v3 · doi: 10.48550/arxiv.2401.11213 · pith_short_12: BG2EU27OJIPL · pith_short_16: BG2EU27OJIPLXTCP · pith_short_8: BG2EU27O

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/BG2EU27OJIPLXTCPRHK7WQUHHR \
  | 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: 09b44a6bee4a1ebbcc4f89d5fb42873c5e4bf21505dac5f48948d95abd5b5f3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae68c3218ec78edcba25693b651c264178b9fbd90e72b20becf7df3d3176f76f",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2024-01-20T11:37:48Z",
    "title_canon_sha256": "12e1aadd2f5662b1bf9850d4fba24eca8c0ccaeea51aa708b8c7eb0314d1634f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.11213",
    "kind": "arxiv",
    "version": 3
  }
}