Pith Number

pith:KMULIPBP

pith:2023:KMULIPBPBHNU2KGJQT5NBPAN4A

not attested not anchored not stored refs pending

The critical percolation probability is local

Philip Easo, Tom Hutchcroft

arxiv:2310.10983 v1 · 2023-10-17 · 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{KMULIPBPBHNU2KGJQT5NBPAN4A}

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

3 papers in Pith

Continuity of the critical value and a shape theorem for long-range percolation

Coarse embeddability, $L^1$-compression and Percolations on General Graphs

The truncation property and continuity for the long-range contact process on $\mathbb{Z}^d$

Receipt and verification

First computed	2026-07-05T07:01:48.789048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5328b43c2f09db4d28c984fad0bc0de012c2fe4f8621fbdc825ef8c0bd8e1bc4

Aliases

arxiv: 2310.10983 · arxiv_version: 2310.10983v1 · doi: 10.48550/arxiv.2310.10983 · pith_short_12: KMULIPBPBHNU · pith_short_16: KMULIPBPBHNU2KGJ · pith_short_8: KMULIPBP

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/KMULIPBPBHNU2KGJQT5NBPAN4A \
  | 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: 5328b43c2f09db4d28c984fad0bc0de012c2fe4f8621fbdc825ef8c0bd8e1bc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61ee2870ababe05fe19bf76a6096ee99accebbcc0fac48603be0921e4f17b066",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-10-17T04:07:39Z",
    "title_canon_sha256": "630d679a9967a3eb6835ef6725aebaacfdf8614009eb6e52fb9f834e6a999f04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.10983",
    "kind": "arxiv",
    "version": 1
  }
}