Pith Number

pith:2CV5GGVR

pith:2024:2CV5GGVRAJQHK62NFFYDNJP4AI

not attested not anchored not stored refs pending

Pointwise two-point function estimates and a non-pertubative proof of mean-field critical behaviour for long-range percolation

Tom Hutchcroft

arxiv:2404.07276 v1 · 2024-04-10 · 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{2CV5GGVRAJQHK62NFFYDNJP4AI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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

Receipt and verification

First computed	2026-07-05T08:06:50.159989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0abd31ab10260757b4d297036a5fc0209a016a194dfbfbcce8c3df829a81b0d

Aliases

arxiv: 2404.07276 · arxiv_version: 2404.07276v1 · doi: 10.48550/arxiv.2404.07276 · pith_short_12: 2CV5GGVRAJQH · pith_short_16: 2CV5GGVRAJQHK62N · pith_short_8: 2CV5GGVR

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/2CV5GGVRAJQHK62NFFYDNJP4AI \
  | 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: d0abd31ab10260757b4d297036a5fc0209a016a194dfbfbcce8c3df829a81b0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5141a6f70f73e7d7b0a306528df004cbd31cb4a3fa1cd92e87e897dce9f4391",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-04-10T18:09:15Z",
    "title_canon_sha256": "a07afab723cd4a8a99f8b909984cb6afd6b3675e6c3c4f884fc438ada09ca511"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.07276",
    "kind": "arxiv",
    "version": 1
  }
}