Pith Number

pith:2TR7CHSG

pith:2022:2TR7CHSGHG32ZV634FBE7Y2XJZ

not attested not anchored not stored refs pending

Invariance of $\phi^4$ measure under nonlinear wave and Schr\"odinger equations on the plane

Nikolay Barashkov, Petri Laarne

arxiv:2211.16111 v5 · 2022-11-29 · math.AP · math-ph · math.MP · math.PR

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2TR7CHSGHG32ZV634FBE7Y2XJZ}

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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

Invariant Gibbs measures for the one-dimensional quintic nonlinear Schr\"odinger equation in infinite volume

Receipt and verification

First computed	2026-06-19T16:11:07.420779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4e3f11e4639b7acd7dbe1424fe3574e413d740e29bcbc7823d43fdfc552cee1

Aliases

arxiv: 2211.16111 · arxiv_version: 2211.16111v5 · doi: 10.48550/arxiv.2211.16111 · pith_short_12: 2TR7CHSGHG32 · pith_short_16: 2TR7CHSGHG32ZV63 · pith_short_8: 2TR7CHSG

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/2TR7CHSGHG32ZV634FBE7Y2XJZ \
  | 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: d4e3f11e4639b7acd7dbe1424fe3574e413d740e29bcbc7823d43fdfc552cee1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a54cb95a8b8252c16977c903affcaf0a37597f0a678c88803b1a5e7ccbd0a792",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-11-29T11:34:49Z",
    "title_canon_sha256": "b80f9e4fb093a707521b338da4d5f2a734ed7f0aee7b3b343dd7b91e618a672a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.16111",
    "kind": "arxiv",
    "version": 5
  }
}