Pith Number

pith:2RLEKNZ5

pith:2009:2RLEKNZ5CJFXWP4Y6GPUJVPQEY

not attested not anchored not stored refs pending

Connectivity Bounds for the Vacant Set of Random Interlacements

Alain-Sol Sznitman, Vladas Sidoravicius

arxiv:0908.2206 v1 · 2009-08-17 · 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{2RLEKNZ5CJFXWP4Y6GPUJVPQEY}

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	2026-05-18T02:12:33.832396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d45645373d124b7b3f98f19f44d5f02616dbbcfdcdfee05ec6a6c4aa5dfd1a10

Aliases

arxiv: 0908.2206 · arxiv_version: 0908.2206v1 · doi: 10.48550/arxiv.0908.2206 · pith_short_12: 2RLEKNZ5CJFX · pith_short_16: 2RLEKNZ5CJFXWP4Y · pith_short_8: 2RLEKNZ5

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/2RLEKNZ5CJFXWP4Y6GPUJVPQEY \
  | 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: d45645373d124b7b3f98f19f44d5f02616dbbcfdcdfee05ec6a6c4aa5dfd1a10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcab946f0d9e2945d47065944c6da86b900cb40467f75b96ade9b8d1d6739205",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-08-17T13:56:59Z",
    "title_canon_sha256": "b3892cff1e5afa36c240ac3dbdb4cb0a0db87cb9922824c96ba18861d687c202"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.2206",
    "kind": "arxiv",
    "version": 1
  }
}