Pith Number

pith:YXUW56Y6

pith:2025:YXUW56Y62WAHVWYC6DFWSWNPCN

not attested not anchored not stored refs pending

Ergodicity of infinite volume $\Phi^4_3$ at high temperature

Jaeyun Yi, Martin Hairer, Pawe{\l} Duch, Wenhao Zhao

arxiv:2508.07776 v1 · 2025-08-11 · math.PR · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YXUW56Y62WAHVWYC6DFWSWNPCN}

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

The Gaussian structure of a perturbed KPZ

Derivation of the focusing $\Phi^6_1$ measure in the optimal mass regime from many-body quantum Gibbs states

Receipt and verification

First computed	2026-07-05T11:51:52.135354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5e96efb1ed5807adb02f0cb6959af137c4ef9ffcf1e1801e1cbaa658b73a048

Aliases

arxiv: 2508.07776 · arxiv_version: 2508.07776v1 · doi: 10.48550/arxiv.2508.07776 · pith_short_12: YXUW56Y62WAH · pith_short_16: YXUW56Y62WAHVWYC · pith_short_8: YXUW56Y6

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/YXUW56Y62WAHVWYC6DFWSWNPCN \
  | 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: c5e96efb1ed5807adb02f0cb6959af137c4ef9ffcf1e1801e1cbaa658b73a048

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "296a4a07497c92147bbd8e4f7aefac31bbce812c50c1daf91d228909b84ec403",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-08-11T09:03:43Z",
    "title_canon_sha256": "6022b3d410ba41b79ccb459e48c7aa72fdefde9d1914c4076f530cbfb3388de3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.07776",
    "kind": "arxiv",
    "version": 1
  }
}