Pith Number

pith:B3I4AAZK

pith:2023:B3I4AAZKMBJ5ECV23XSKWF6CV5

not attested not anchored not stored refs pending

The polynomial growth of the infinite long-range percolation cluster

Johannes B\"aumler

arxiv:2311.14352 v2 · 2023-11-24 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B3I4AAZKMBJ5ECV23XSKWF6CV5}

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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

Uniqueness and dimension for the geodesic of the critical long-range percolation metric

Receipt and verification

First computed	2026-07-05T12:07:52.703992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ed1c0032a6053d20abadde4ab17c2af7e6311914604e3ba08792252b810b6d2

Aliases

arxiv: 2311.14352 · arxiv_version: 2311.14352v2 · doi: 10.48550/arxiv.2311.14352 · pith_short_12: B3I4AAZKMBJ5 · pith_short_16: B3I4AAZKMBJ5ECV2 · pith_short_8: B3I4AAZK

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/B3I4AAZKMBJ5ECV23XSKWF6CV5 \
  | 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: 0ed1c0032a6053d20abadde4ab17c2af7e6311914604e3ba08792252b810b6d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a09f7a630d0f2356c0d7ffd497c4325ce370171d8fe54e9997962194da005c50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-11-24T08:53:07Z",
    "title_canon_sha256": "6ff74b8e105705ef7b8429541fa0d6f9d338d358ba6283fe16cac0112ad84692"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.14352",
    "kind": "arxiv",
    "version": 2
  }
}