Pith Number

pith:VHSEF7BX

pith:2010:VHSEF7BX76MDJDPCV77KU32MPQ

not attested not anchored not stored refs pending

Connectivity properties of random interlacement and intersection of random walks

Art\"em Sapozhnikov, Bal\'azs R\'ath

arxiv:1012.4711 v2 · 2010-12-21 · 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{VHSEF7BX76MDJDPCV77KU32MPQ}

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	2026-05-18T04:00:01.331028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9e442fc37ff98348de2affeaa6f4c7c2e6e4d0189065454c294ffe55b28e7ff

Aliases

arxiv: 1012.4711 · arxiv_version: 1012.4711v2 · doi: 10.48550/arxiv.1012.4711 · pith_short_12: VHSEF7BX76MD · pith_short_16: VHSEF7BX76MDJDPC · pith_short_8: VHSEF7BX

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/VHSEF7BX76MDJDPCV77KU32MPQ \
  | 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: a9e442fc37ff98348de2affeaa6f4c7c2e6e4d0189065454c294ffe55b28e7ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1771e7f88a853b4d5325762be0157041a8d3e9a9cb221081bb1e7af38dfeb1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-21T16:01:35Z",
    "title_canon_sha256": "504a5de0089ff91c11cc028a096e46d094740df520388ad2fd231beeb5ff5bd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4711",
    "kind": "arxiv",
    "version": 2
  }
}