Pith Number

pith:EEVXAHOI

pith:2023:EEVXAHOIXKWVSBT2FZMOKXQHBR

not attested not anchored not stored refs pending

Triviality of the scaling limits of critical Ising and $\varphi^4$ models with effective dimension at least four

Romain Panis

arxiv:2309.05797 v2 · 2023-09-11 · math.PR · math-ph · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EEVXAHOIXKWVSBT2FZMOKXQHBR}

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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.

Cited by

1 paper in Pith

On reversing the Simon-Lieb inequality in high-dimensional percolation

Receipt and verification

First computed	2026-07-05T10:56:04.425479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

212b701dc8baad59067a2e58e55e070c6a9d3be759ca0f9f0a0907ff040072c7

Aliases

arxiv: 2309.05797 · arxiv_version: 2309.05797v2 · doi: 10.48550/arxiv.2309.05797 · pith_short_12: EEVXAHOIXKWV · pith_short_16: EEVXAHOIXKWVSBT2 · pith_short_8: EEVXAHOI

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/EEVXAHOIXKWVSBT2FZMOKXQHBR \
  | 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: 212b701dc8baad59067a2e58e55e070c6a9d3be759ca0f9f0a0907ff040072c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e9e8d7bbe883164f1a83d349a8a3d5d0075a17498899643d2d886a6dbf20977",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-09-11T20:04:28Z",
    "title_canon_sha256": "7b43d603bce2347cc890e0000c0b54b53230c6bae7140cc80bc7ffe50652b6d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.05797",
    "kind": "arxiv",
    "version": 2
  }
}