Pith Number

pith:QQIOAYAH

pith:2025:QQIOAYAHYMLLQW3QWGEOPMNRLD

not attested not anchored not stored refs pending

Free-energy variations for determinantal 2D plasmas with holes

Nicolas Rougerie (UMPA-ENSL)

arxiv:2510.01745 v3 · 2025-10-02 · 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{QQIOAYAHYMLLQW3QWGEOPMNRLD}

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	2026-07-31T01:32:39.648197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

8410e06007c316b85b70b188e7b1b158e2eb97b76fb010b7bd748bf120ab320b

Aliases

arxiv: 2510.01745 · arxiv_version: 2510.01745v3 · doi: 10.48550/arxiv.2510.01745 · pith_short_12: QQIOAYAHYMLL · pith_short_16: QQIOAYAHYMLLQW3Q · pith_short_8: QQIOAYAH

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/QQIOAYAHYMLLQW3QWGEOPMNRLD \
  | 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: 8410e06007c316b85b70b188e7b1b158e2eb97b76fb010b7bd748bf120ab320b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "225146146bc41f4a25ddfa81dbc4b1a3f9776e3c36406d78c3b3ef97c885f9f7",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-10-02T07:31:59Z",
    "title_canon_sha256": "8d635155edc68f89ab4dab520fad392fc3d591ac2728b950076b7d6d77630fc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.01745",
    "kind": "arxiv",
    "version": 3
  }
}