Pith Number

pith:HCMY6A3Q

pith:2018:HCMY6A3Q6PNDWLHGKG57MVU5RP

not attested not anchored not stored refs pending

Analyticity results in Bernoulli Percolation

Agelos Georgakopoulos, Christoforos Panagiotis

arxiv:1811.07404 v2 · 2018-11-18 · math.PR · math-ph · math.CO · 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{HCMY6A3Q6PNDWLHGKG57MVU5RP}

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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

The diffusivity of supercritical Bernoulli percolation is infinitely differentiable

Receipt and verification

First computed	2026-07-05T02:57:04.992488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38998f0370f3da3b2ce651bbf6569d8bcbefcb3f61301e5dcde6adc9b301ebde

Aliases

arxiv: 1811.07404 · arxiv_version: 1811.07404v2 · doi: 10.48550/arxiv.1811.07404 · pith_short_12: HCMY6A3Q6PND · pith_short_16: HCMY6A3Q6PNDWLHG · pith_short_8: HCMY6A3Q

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/HCMY6A3Q6PNDWLHGKG57MVU5RP \
  | 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: 38998f0370f3da3b2ce651bbf6569d8bcbefcb3f61301e5dcde6adc9b301ebde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0498978d1e0370fd57f4787437395f06a298840dd8f4baee7e6f128d26609006",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-11-18T21:17:17Z",
    "title_canon_sha256": "5d3e6e147ce4acbd104039012ec9731291dd8055658b6cdd3bf6f83944ab9018"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.07404",
    "kind": "arxiv",
    "version": 2
  }
}