Pith Number

pith:QGLRH2PL

pith:2019:QGLRH2PLGIA5PQQTTLNMXA6O23

not attested not anchored not stored refs pending

Marginal triviality of the scaling limits of critical 4D Ising and $\phi_4^4$ models

Hugo Duminil-Copin, Michael Aizenman

arxiv:1912.07973 v4 · 2019-12-17 · math-ph · cond-mat.stat-mech · hep-th · math.MP · math.PR

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QGLRH2PLGIA5PQQTTLNMXA6O23}

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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

4 papers in Pith

On self-dualities for scalar $\phi^4$ theory

From path integral quantization to stochastic quantization: a pedestrian's journey

Discrete Dyson-Schwinger equations

A skepticism on the concept of quantum state related to quantum field theory on curved spacetime

Receipt and verification

First computed	2026-07-05T03:50:45.717475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

819713e9eb3201d7c2139adacb83ced6dfd78ad7aff587c627b90b43e1e72763

Aliases

arxiv: 1912.07973 · arxiv_version: 1912.07973v4 · doi: 10.48550/arxiv.1912.07973 · pith_short_12: QGLRH2PLGIA5 · pith_short_16: QGLRH2PLGIA5PQQT · pith_short_8: QGLRH2PL

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/QGLRH2PLGIA5PQQTTLNMXA6O23 \
  | 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: 819713e9eb3201d7c2139adacb83ced6dfd78ad7aff587c627b90b43e1e72763

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a2408c0cc3ae575c0e701e1328fc9685f9812d60567674f1198b1ffea320fda",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-12-17T12:41:14Z",
    "title_canon_sha256": "233ad271e4049454b547d4009812462a0214c52783deafd4331528511be4b2cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.07973",
    "kind": "arxiv",
    "version": 4
  }
}