Pith Number

pith:D73KUFGZ

pith:2022:D73KUFGZZB77VJELWAIBB7LLOY

not attested not anchored not stored refs pending

Focusing Gibbs measures with harmonic potential

Kihoon Seong, Leonardo Tolomeo, Tristan Robert, Yuzhao Wang

arxiv:2212.11386 v1 · 2022-12-21 · math.PR

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D73KUFGZZB77VJELWAIBB7LLOY}

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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

Gibbs measures as local equilibrium KMS states for focusing nonlinear Schr\"odinger equations

Receipt and verification

First computed	2026-07-05T05:27:38.484140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ff6aa14d9c87ffaa48bb01010fd6b7606a715236a04bdc58f6dd9fc979051f9

Aliases

arxiv: 2212.11386 · arxiv_version: 2212.11386v1 · doi: 10.48550/arxiv.2212.11386 · pith_short_12: D73KUFGZZB77 · pith_short_16: D73KUFGZZB77VJEL · pith_short_8: D73KUFGZ

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/D73KUFGZZB77VJELWAIBB7LLOY \
  | 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: 1ff6aa14d9c87ffaa48bb01010fd6b7606a715236a04bdc58f6dd9fc979051f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e70561f6e1cc757c7d6368486ce32abdbee20a42af3767c9b49a8d58507828d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-12-21T22:08:50Z",
    "title_canon_sha256": "3b34c61eb433ffe414a7701ee107f968fb2830da6911cc7d82f4e4776e828094"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.11386",
    "kind": "arxiv",
    "version": 1
  }
}