Pith Number

pith:RBVWZ6KJ

pith:2015:RBVWZ6KJAMTOQMPHD6OH3D4ULH

not attested not anchored not stored refs pending

Invariance under quasi-isometries of subcritical and supercritical behaviour in the Boolean model of percolation

Cristian F. Coletti, Daniel Miranda, Filipe Mussini

arxiv:1505.00242 v1 · 2015-05-01 · 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{RBVWZ6KJAMTOQMPHD6OH3D4ULH}

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	2026-05-18T01:22:01.614643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

886b6cf9490326e831e71f9c7d8f9459ef137aa9b635a315e37642acc03955c3

Aliases

arxiv: 1505.00242 · arxiv_version: 1505.00242v1 · doi: 10.48550/arxiv.1505.00242 · pith_short_12: RBVWZ6KJAMTO · pith_short_16: RBVWZ6KJAMTOQMPH · pith_short_8: RBVWZ6KJ

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/RBVWZ6KJAMTOQMPHD6OH3D4ULH \
  | 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: 886b6cf9490326e831e71f9c7d8f9459ef137aa9b635a315e37642acc03955c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b47ba5ed4d0d65bd12b91204d9bb5ac292f3cc058b95ca778c7dd4826156fac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-05-01T18:39:29Z",
    "title_canon_sha256": "3eb50a5f3b71d32ce8791b2db9c90c21292b1c1d2f1cdf340aaf3d6912ed21f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00242",
    "kind": "arxiv",
    "version": 1
  }
}