Pith Number

pith:IIRBCRNH

pith:2023:IIRBCRNHHI7NVWXGKDOHDAINUP

not attested not anchored not stored refs pending

Optimal divergence rate of the focusing Gibbs measures

Damiano Greco, Guopeng Li, Rui Liang, Tadahiro Oh, Yuzhao Wang

arxiv:2310.08783 v2 · 2023-10-13 · math.PR · math-ph · math.AP · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IIRBCRNHHI7NVWXGKDOHDAINUP}

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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

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

Receipt and verification

First computed	2026-07-05T12:02:32.435403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42221145a73a3edadae650dc71810da3d9a6a2654e1180b8cde4d428abd64720

Aliases

arxiv: 2310.08783 · arxiv_version: 2310.08783v2 · doi: 10.48550/arxiv.2310.08783 · pith_short_12: IIRBCRNHHI7N · pith_short_16: IIRBCRNHHI7NVWXG · pith_short_8: IIRBCRNH

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/IIRBCRNHHI7NVWXGKDOHDAINUP \
  | 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: 42221145a73a3edadae650dc71810da3d9a6a2654e1180b8cde4d428abd64720

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79dd72d5ad0dee54c7a3aa7367f91c3d2a3d845bea72f8fe7708bd5ef0db95c9",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-10-13T00:08:03Z",
    "title_canon_sha256": "bcdd13c23c5fee8a2def0496651c7fd212ad7d69cff6f60c479997a7c843cb29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.08783",
    "kind": "arxiv",
    "version": 2
  }
}