Pith Number

pith:7FCRM4SS

pith:2024:7FCRM4SSUXRTEQFF4ML6W5KM4R

not attested not anchored not stored refs pending

A priori bounds for the dynamic fractional $\Phi^4$ model on $\mathbb{T}^3$ in the full subcritical regime

Hendrik Weber, Salvador Esquivel

arxiv:2411.16536 v2 · 2024-11-25 · math.AP · math-ph · math.MP · math.PR

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\usepackage{pith}
\pithnumber{7FCRM4SSUXRTEQFF4ML6W5KM4R}

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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

Renormalised Models for Variable Coefficient Singular SPDEs

Receipt and verification

First computed	2026-07-05T09:43:37.181698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f945167252a5e33240a5e317eb754ce4481549bd429784ec82e97a177a9d8a3d

Aliases

arxiv: 2411.16536 · arxiv_version: 2411.16536v2 · doi: 10.48550/arxiv.2411.16536 · pith_short_12: 7FCRM4SSUXRT · pith_short_16: 7FCRM4SSUXRTEQFF · pith_short_8: 7FCRM4SS

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/7FCRM4SSUXRTEQFF4ML6W5KM4R \
  | 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: f945167252a5e33240a5e317eb754ce4481549bd429784ec82e97a177a9d8a3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c820c12bec08f074ca6e5c86795d263e73a3c11b437ba2cf82dd513f1ffccc18",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-11-25T16:21:27Z",
    "title_canon_sha256": "a8232fc11472b60e526a9a9a73a4c539d3e6c861e7d388ad5ddca225cd807aad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.16536",
    "kind": "arxiv",
    "version": 2
  }
}