Pith Number

pith:RZGZ6YK6

pith:2022:RZGZ6YK63EPXWU3NMMUKVDBZ5X

not attested not anchored not stored refs pending

Lee--Yang zeroes of the Curie--Weiss ferromagnet, unitary Hermite polynomials, and the backward heat flow

Zakhar Kabluchko

arxiv:2203.05533 v3 · 2022-03-10 · math.PR · math-ph · math.CA · 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{RZGZ6YK63EPXWU3NMMUKVDBZ5X}

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

Roots of polynomials under repeated differentiation and repeated applications of fractional differential operators

Cumulants in rectangular finite free probability and beta-deformed singular values

Receipt and verification

First computed	2026-07-05T09:55:04.861559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e4d9f615ed91f7b536d6328aa8c39ede88b0f298c0cff18f40997caec672484

Aliases

arxiv: 2203.05533 · arxiv_version: 2203.05533v3 · doi: 10.48550/arxiv.2203.05533 · pith_short_12: RZGZ6YK63EPX · pith_short_16: RZGZ6YK63EPXWU3N · pith_short_8: RZGZ6YK6

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/RZGZ6YK63EPXWU3NMMUKVDBZ5X \
  | 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: 8e4d9f615ed91f7b536d6328aa8c39ede88b0f298c0cff18f40997caec672484

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a50a2a53843248604a082cf31e05de707145c6576d7fe3941adc614e579432e",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-03-10T18:37:47Z",
    "title_canon_sha256": "2756636bd061dbc75ae8174d3aa3f5987694b65c868d0b4501bf6cd0c37ec7ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.05533",
    "kind": "arxiv",
    "version": 3
  }
}