Pith Number

pith:JUO7FFZ7

pith:2023:JUO7FFZ7TIIGKE7TOT4YV6K53R

not attested not anchored not stored refs pending

Integrability of $\Phi^4$ Matrix Model as $N$-body Harmonic Oscillator System

Akifumi Sako, Harald Grosse

arxiv:2308.11523 v1 · 2023-08-22 · math-ph · hep-th · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JUO7FFZ7TIIGKE7TOT4YV6K53R}

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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

Relationship between a $\Phi^4$ matrix model and harmonic oscillator systems

Receipt and verification

First computed	2026-07-05T06:43:41.032870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d1df2973f9a106513f374f98af95ddc70dcf4cc032a896945051664572a3e56

Aliases

arxiv: 2308.11523 · arxiv_version: 2308.11523v1 · doi: 10.48550/arxiv.2308.11523 · pith_short_12: JUO7FFZ7TIIG · pith_short_16: JUO7FFZ7TIIGKE7T · pith_short_8: JUO7FFZ7

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/JUO7FFZ7TIIGKE7TOT4YV6K53R \
  | 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: 4d1df2973f9a106513f374f98af95ddc70dcf4cc032a896945051664572a3e56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98ce83d4d0ae6ad7dd913becc43c72e47557681c27055dc0268056ca2252ddbf",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2023-08-22T15:54:12Z",
    "title_canon_sha256": "17e4edb70690e33c9801d42b9bdf9673faa83c14fb34fad1aed9275b81515a7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.11523",
    "kind": "arxiv",
    "version": 1
  }
}