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Pith Number

pith:ZCVBD7AU

pith:2019:ZCVBD7AUZOGSP5COYFIN5NRMKM
not attested not anchored not stored refs pending

Log-Sobolev inequality for the continuum sine-Gordon model

Roland Bauerschmidt, Thierry Bodineau

arxiv:1907.12308 v2 · 2019-07-29 · math.PR · math-ph · math.AP · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZCVBD7AUZOGSP5COYFIN5NRMKM}

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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 2026-07-05T06:59:25.020845Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c8aa11fc14cb8d27f44ec150deb62c5334db729e64c7a67cc3a02c01f93824a5

Aliases

arxiv: 1907.12308 · arxiv_version: 1907.12308v2 · doi: 10.48550/arxiv.1907.12308 · pith_short_12: ZCVBD7AUZOGS · pith_short_16: ZCVBD7AUZOGSP5CO · pith_short_8: ZCVBD7AU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZCVBD7AUZOGSP5COYFIN5NRMKM \
  | 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: c8aa11fc14cb8d27f44ec150deb62c5334db729e64c7a67cc3a02c01f93824a5
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5f035443f02ce345eb1ccb456bb7c612b6b5b5d0748f189ad4330b1d96bacd11",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-07-29T09:54:21Z",
    "title_canon_sha256": "c86288c934c5efbf84aa80747fc0c9b5c6a7f7d5a5d21c1c4fe31d5239142551"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.12308",
    "kind": "arxiv",
    "version": 2
  }
}