Pith Number

pith:QWUCPGAF

pith:2026:QWUCPGAFWGVKVBXDECJND6AYIH

not attested not anchored not stored refs pending

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

Eui Yoo, Meng Yang, Sung-Soo Byun

arxiv:2605.29594 v1 · 2026-05-28 · 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{QWUCPGAFWGVKVBXDECJND6AYIH}

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	2026-05-29T01:05:49.726173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85a8279805b1aaaa86e32092d1f81841e5503f65ce35179ec6da1c762f3bacdf

Aliases

arxiv: 2605.29594 · arxiv_version: 2605.29594v1 · doi: 10.48550/arxiv.2605.29594 · pith_short_12: QWUCPGAFWGVK · pith_short_16: QWUCPGAFWGVKVBXD · pith_short_8: QWUCPGAF

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/QWUCPGAFWGVKVBXDECJND6AYIH \
  | 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: 85a8279805b1aaaa86e32092d1f81841e5503f65ce35179ec6da1c762f3bacdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29298f9e77c5ad19feb518d91d1b07293fc2b3a122edc76b212a5fd662650898",
    "cross_cats_sorted": [
      "math.CV",
      "math.MP",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-05-28T08:35:51Z",
    "title_canon_sha256": "124fda7a2b1f6cf1b45e65a8016f251d5407b6cc5846715b5c7ab0ef915f3c67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.29594",
    "kind": "arxiv",
    "version": 1
  }
}