Pith Number

pith:PLQRT3ZX

pith:2025:PLQRT3ZXKC3THRZLTL73F3HHOH

not attested not anchored not stored refs pending

Decay of connection probability in high-dimensional continuum percolation

Matthew Dickson, Yucheng Liu

arxiv:2507.19288 v2 · 2025-07-25 · 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{PLQRT3ZXKC3THRZLTL73F3HHOH}

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.

Receipt and verification

First computed	2026-05-28T02:04:42.103292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ae119ef3750b733c72b9affb2ece771ce6ec76de8d07680d0d759f6db57a1ef

Aliases

arxiv: 2507.19288 · arxiv_version: 2507.19288v2 · doi: 10.48550/arxiv.2507.19288 · pith_short_12: PLQRT3ZXKC3T · pith_short_16: PLQRT3ZXKC3THRZL · pith_short_8: PLQRT3ZX

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/PLQRT3ZXKC3THRZLTL73F3HHOH \
  | 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: 7ae119ef3750b733c72b9affb2ece771ce6ec76de8d07680d0d759f6db57a1ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a5441b35ebc319e88859440634f228b75210504af988d23948e286aa6c205b5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-07-25T14:02:03Z",
    "title_canon_sha256": "2f8a3b7c8cdf1ba4d734efbca69c90147f12b8ad4ebcbba89e5eaa7e086fdc2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.19288",
    "kind": "arxiv",
    "version": 2
  }
}