Pith Number

pith:MLBGQ55F

pith:2025:MLBGQ55FMFIWJSQST3JKLY6VTE

not attested not anchored not stored refs pending

The polynomial growth of effective resistances in one-dimensional critical long-range percolation

Jian Ding, Lu-Jing Huang, Zherui Fan

arxiv:2504.21378 v2 · 2025-04-30 · math.PR

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\usepackage{pith}
\pithnumber{MLBGQ55FMFIWJSQST3JKLY6VTE}

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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

Spectral dimensions for one-dimensional critical long-range percolation

Receipt and verification

First computed	2026-07-05T11:16:57.808051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62c26877a5615164ca129ed2a5e3d5993a760765359fdaea431a13899a6d2e98

Aliases

arxiv: 2504.21378 · arxiv_version: 2504.21378v2 · doi: 10.48550/arxiv.2504.21378 · pith_short_12: MLBGQ55FMFIW · pith_short_16: MLBGQ55FMFIWJSQS · pith_short_8: MLBGQ55F

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/MLBGQ55FMFIWJSQST3JKLY6VTE \
  | 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: 62c26877a5615164ca129ed2a5e3d5993a760765359fdaea431a13899a6d2e98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d69098b184eb45143c0c5372fbed31eb85689838400be823e0d8271f6978996a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-04-30T07:28:00Z",
    "title_canon_sha256": "f29d2818c21abe9dacbd2042335b0606d5184b62a13d28c944894cbedd453c0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.21378",
    "kind": "arxiv",
    "version": 2
  }
}