Pith Number

pith:D6XHMBBJ

pith:2011:D6XHMBBJE5PLOKLZ5Z5BNOOLTL

not attested not anchored not stored refs pending

An isomorphism theorem for random interlacements

Alain-Sol Sznitman

arxiv:1111.4818 v1 · 2011-11-21 · 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{D6XHMBBJE5PLOKLZ5Z5BNOOLTL}

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	2026-05-18T04:02:13.352176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fae760429275eb72979ee7a16b9cb9af50a2730155de119d7261227b27457aa

Aliases

arxiv: 1111.4818 · arxiv_version: 1111.4818v1 · doi: 10.48550/arxiv.1111.4818 · pith_short_12: D6XHMBBJE5PL · pith_short_16: D6XHMBBJE5PLOKLZ · pith_short_8: D6XHMBBJ

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/D6XHMBBJE5PLOKLZ5Z5BNOOLTL \
  | 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: 1fae760429275eb72979ee7a16b9cb9af50a2730155de119d7261227b27457aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80e745638449b9a0d870b32d211139ad005fb9f8a7d3466853d3de2d794e6025",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-21T10:35:24Z",
    "title_canon_sha256": "09c2b7077de46450ece21a29ca33bf8f9d33f2ba041a667c6a55cdc6e2a83f96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4818",
    "kind": "arxiv",
    "version": 1
  }
}