Pith Number

pith:3SUULDRP

pith:2020:3SUULDRPKA5MIQJXYBT36PXDIP

not attested not anchored not stored refs pending

Gaussian Fluctuations and Free Energy Expansion for Coulomb Gases at Any Temperature

Sylvia Serfaty

arxiv:2003.11704 v6 · 2020-03-26 · 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{3SUULDRPKA5MIQJXYBT36PXDIP}

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

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall

Receipt and verification

First computed	2026-07-05T05:28:40.436959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dca9458e2f503ac44137c067bf3ee343e812fb7970ee1be9b11fba246f18bc32

Aliases

arxiv: 2003.11704 · arxiv_version: 2003.11704v6 · doi: 10.48550/arxiv.2003.11704 · pith_short_12: 3SUULDRPKA5M · pith_short_16: 3SUULDRPKA5MIQJX · pith_short_8: 3SUULDRP

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/3SUULDRPKA5MIQJXYBT36PXDIP \
  | 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: dca9458e2f503ac44137c067bf3ee343e812fb7970ee1be9b11fba246f18bc32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2394dddc245ecfc6058cd0c03dcbe53017757a3e47d749c9e2a26fef3b21f77c",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2020-03-26T02:11:57Z",
    "title_canon_sha256": "4cb03bd7a522f90ba5c3f1a0b105ae0f7bb35ecb8c21ada29ff26491bd5e35f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.11704",
    "kind": "arxiv",
    "version": 6
  }
}