Pith Number

pith:WBCK565J

pith:2024:WBCK565JX6FAMDUWUDOUIXM55Z

not attested not anchored not stored refs pending

Parity questions in critical planar Brownian loop-soups (or "where did the free planar bosons go?")

Matthis Lehmkuehler, Wei Qian, Wendelin Werner

arxiv:2403.07830 v2 · 2024-03-12 · math.PR · math-ph · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WBCK565JX6FAMDUWUDOUIXM55Z}

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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

Non-existence of several random fractals in Brownian motion and Brownian loop soup

Receipt and verification

First computed	2026-07-05T11:46:19.192897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b044aefba9bf8a060e96a0dd445d9dee5cbacc83a17ad15c8964d295069f3781

Aliases

arxiv: 2403.07830 · arxiv_version: 2403.07830v2 · doi: 10.48550/arxiv.2403.07830 · pith_short_12: WBCK565JX6FA · pith_short_16: WBCK565JX6FAMDUW · pith_short_8: WBCK565J

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/WBCK565JX6FAMDUWUDOUIXM55Z \
  | 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: b044aefba9bf8a060e96a0dd445d9dee5cbacc83a17ad15c8964d295069f3781

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4622f7ce3242754aebc25accd57b5b025b2dfdc79c7074dbc2ea0eaf7e3789a6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-03-12T17:11:50Z",
    "title_canon_sha256": "e2d65b0240465df68656cf6aed8cff4dedda6248d0e0799459f9f656e01971bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.07830",
    "kind": "arxiv",
    "version": 2
  }
}