Pith Number

pith:7I7RF36H

pith:2015:7I7RF36HMRAXQOJUE4QS3Z3ZUI

not attested not anchored not stored refs pending

Majority Bootstrap Percolation on $G(n,p)$

Cecilia Holmgren, Nathan Kettle, Tomas Ju\v{s}kevi\v{c}ius

arxiv:1508.02671 v1 · 2015-08-11 · 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{7I7RF36HMRAXQOJUE4QS3Z3ZUI}

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	2026-05-18T01:35:28.599879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa3f12efc7644178393427212de779a217ad128b3bf32a08e362857947bd0a74

Aliases

arxiv: 1508.02671 · arxiv_version: 1508.02671v1 · doi: 10.48550/arxiv.1508.02671 · pith_short_12: 7I7RF36HMRAX · pith_short_16: 7I7RF36HMRAXQOJU · pith_short_8: 7I7RF36H

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/7I7RF36HMRAXQOJUE4QS3Z3ZUI \
  | 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: fa3f12efc7644178393427212de779a217ad128b3bf32a08e362857947bd0a74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ddba92b3b7811d039408cf59c4dfb63488353eeec800886f3171d7b8d3f0501",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-11T18:07:36Z",
    "title_canon_sha256": "815813b922d0f2a20c03fbbc8d2a47d6da1e7f7367ff086f388cf654305b903b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02671",
    "kind": "arxiv",
    "version": 1
  }
}