Pith Number

pith:GNRTLBND

pith:2025:GNRTLBNDAWA4VE23LQLWZO6JKM

not attested not anchored not stored refs pending

Multi-index Based Solution Theory to the $\Phi^4$ Equation in the Full Subcritical Regime

Felix Otto, Lucas Broux, Rhys Steele

arxiv:2503.01621 v1 · 2025-03-03 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GNRTLBNDAWA4VE23LQLWZO6JKM}

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.

Cited by

2 papers in Pith

A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure

Weak universality for stochastic reaction-diffusion models with long-range correlated noise

Receipt and verification

First computed	2026-07-05T10:23:10.997923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33633585a30581ca935b5c176cbbc95316548016ba755cdebc3e85d4ae8d4cac

Aliases

arxiv: 2503.01621 · arxiv_version: 2503.01621v1 · doi: 10.48550/arxiv.2503.01621 · pith_short_12: GNRTLBNDAWA4 · pith_short_16: GNRTLBNDAWA4VE23 · pith_short_8: GNRTLBND

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/GNRTLBNDAWA4VE23LQLWZO6JKM \
  | 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: 33633585a30581ca935b5c176cbbc95316548016ba755cdebc3e85d4ae8d4cac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e18f9040248cd1058e4024e1072a09ded710322214f20dc900b9e6e6ffac1490",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-03-03T14:54:31Z",
    "title_canon_sha256": "aa3ee09a04bcac605cba91cfdd1df88f531cdc136ae88127cf37492bbfe98d66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.01621",
    "kind": "arxiv",
    "version": 1
  }
}