Pith Number

pith:WHRQ2IOY

pith:2013:WHRQ2IOYDBOXLM2X5JV7FKXBAL

not attested not anchored not stored refs pending

1D Log Gases and the Renormalized Energy: Crystallization at Vanishing Temperature

Etienne Sandier, Sylvia Serfaty

arxiv:1303.2968 v2 · 2013-03-12 · math.PR · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WHRQ2IOYDBOXLM2X5JV7FKXBAL}

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	2026-05-18T02:45:32.135721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1e30d21d8185d75b357ea6bf2aae102dc2616dfa8a432a283005a9f6f3f7a69

Aliases

arxiv: 1303.2968 · arxiv_version: 1303.2968v2 · doi: 10.48550/arxiv.1303.2968 · pith_short_12: WHRQ2IOYDBOX · pith_short_16: WHRQ2IOYDBOXLM2X · pith_short_8: WHRQ2IOY

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/WHRQ2IOYDBOXLM2X5JV7FKXBAL \
  | 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: b1e30d21d8185d75b357ea6bf2aae102dc2616dfa8a432a283005a9f6f3f7a69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c8684fa16a49a935c4957df8d13171955196dbe3c567f1f87e3cf256fb9a4f0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-03-12T17:54:36Z",
    "title_canon_sha256": "a10a0b361e0382b4830ededb142f2baa7840b693418919c9e4a4dd9ad85d37a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2968",
    "kind": "arxiv",
    "version": 2
  }
}