Pith Number

pith:EPSO4G57

pith:2025:EPSO4G57TG5QX2S4B65TY2B347

not attested not anchored not stored refs pending

Three topological phases of the elliptic Ginibre ensembles with a point charge

Eui Yoo, Sung-Soo Byun

arxiv:2502.02948 v1 · 2025-02-05 · math-ph · math.CV · 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{EPSO4G57TG5QX2S4B65TY2B347}

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

Free energy expansion of determinantal Coulomb gases in the quadratic fields with a point charge

Receipt and verification

First computed	2026-07-05T10:09:57.390007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23e4ee1bbf99bb0bea5c0fbb3c683be7f15dba8ecf370f158bdddcfe32ec9464

Aliases

arxiv: 2502.02948 · arxiv_version: 2502.02948v1 · doi: 10.48550/arxiv.2502.02948 · pith_short_12: EPSO4G57TG5Q · pith_short_16: EPSO4G57TG5QX2S4 · pith_short_8: EPSO4G57

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/EPSO4G57TG5QX2S4B65TY2B347 \
  | 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: 23e4ee1bbf99bb0bea5c0fbb3c683be7f15dba8ecf370f158bdddcfe32ec9464

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e30782003cd342d7b748e2b73dc65364781ca9b1164655de4eefb96196d1f86",
    "cross_cats_sorted": [
      "math.CV",
      "math.MP",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-02-05T07:23:29Z",
    "title_canon_sha256": "1a9282494d0304f25d339aea0bd588b90d1fb358fd26147e8d434f033d045921"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.02948",
    "kind": "arxiv",
    "version": 1
  }
}