Pith Number

pith:LQDH4YFI

pith:2012:LQDH4YFIDDRBSQDQGV2PZGLPIN

not attested not anchored not stored refs pending

2D Coulomb Gases and the Renormalized Energy

Etienne Sandier, Sylvia Serfaty

arxiv:1201.3503 v2 · 2012-01-17 · 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{LQDH4YFIDDRBSQDQGV2PZGLPIN}

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	2026-05-18T03:30:53.900725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c067e60a818e21940703574fc996f4369f13fa1aad6aecc4f5fa9de554a6192

Aliases

arxiv: 1201.3503 · arxiv_version: 1201.3503v2 · doi: 10.48550/arxiv.1201.3503 · pith_short_12: LQDH4YFIDDRB · pith_short_16: LQDH4YFIDDRBSQDQ · pith_short_8: LQDH4YFI

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/LQDH4YFIDDRBSQDQGV2PZGLPIN \
  | 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: 5c067e60a818e21940703574fc996f4369f13fa1aad6aecc4f5fa9de554a6192

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e983d8d90a7259349b650dc369b2773ae149169cad82c1d4ec08fa58e4bfa2f3",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-01-17T12:56:50Z",
    "title_canon_sha256": "0c9d5ff34dc6be291a9b3ea8d4521ade6d82d1e7852e660411dc13a35b70227c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3503",
    "kind": "arxiv",
    "version": 2
  }
}