Pith Number

pith:F4NL4EMK

pith:2022:F4NL4EMKZRGOXX5Y7LMFIROBEC

not attested not anchored not stored refs pending

Multiple points on the boundaries of Brownian loop-soup clusters

Wei Qian, Xinyi Li, Yifan Gao

arxiv:2205.11468 v3 · 2022-05-23 · math.PR · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F4NL4EMKZRGOXX5Y7LMFIROBEC}

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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	2026-07-05T11:01:20.930006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f1abe118acc4cebdfb8fad85445c120960d7adc014b459ebea994027aa18436

Aliases

arxiv: 2205.11468 · arxiv_version: 2205.11468v3 · doi: 10.48550/arxiv.2205.11468 · pith_short_12: F4NL4EMKZRGO · pith_short_16: F4NL4EMKZRGOXX5Y · pith_short_8: F4NL4EMK

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/F4NL4EMKZRGOXX5Y7LMFIROBEC \
  | 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: 2f1abe118acc4cebdfb8fad85445c120960d7adc014b459ebea994027aa18436

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6618b4765bdc2e7e76727bdfa9112bc1be568310c0503eed901789ee8154d54",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-05-23T17:11:41Z",
    "title_canon_sha256": "e2e1afc2e9c191cea8d4763c10dce6403ac5eddd6adba8f0a052db95da9384b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.11468",
    "kind": "arxiv",
    "version": 3
  }
}