Pith Number

pith:4J4CHEIG

pith:2024:4J4CHEIGX3VG4WXTCA6D3CLI3S

not attested not anchored not stored refs pending

On the intersection of critical percolation clusters and other tree-like random graphs

Amine Asselah, Bruno Schapira

arxiv:2411.19145 v1 · 2024-11-28 · 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{4J4CHEIGX3VG4WXTCA6D3CLI3S}

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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

On reversing the Simon-Lieb inequality in high-dimensional percolation

Receipt and verification

First computed	2026-07-05T09:41:57.876196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e278239106beea6e5af3103c3d8968dca190552a8034dcda0f81e00adf3f48cb

Aliases

arxiv: 2411.19145 · arxiv_version: 2411.19145v1 · doi: 10.48550/arxiv.2411.19145 · pith_short_12: 4J4CHEIGX3VG · pith_short_16: 4J4CHEIGX3VG4WXT · pith_short_8: 4J4CHEIG

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/4J4CHEIGX3VG4WXTCA6D3CLI3S \
  | 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: e278239106beea6e5af3103c3d8968dca190552a8034dcda0f81e00adf3f48cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "830a79659cfc4fbf7254c612a8e0f3be82a9db39d04fff384e1f0f9169759d12",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-11-28T13:43:18Z",
    "title_canon_sha256": "a1eb75e6ae643c897c60074b6e2d94aedf4fca6a5dbb078c25431c93b28c3605"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.19145",
    "kind": "arxiv",
    "version": 1
  }
}