Pith Number

pith:MHDB3BMJ

pith:2010:MHDB3BMJYDTXEQROYR7ARRZOXU

not attested not anchored not stored refs pending

A lower bound on the critical parameter of interlacement percolation in high dimension

Alain-Sol Sznitman

arxiv:1003.0334 v1 · 2010-03-01 · 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{MHDB3BMJYDTXEQROYR7ARRZOXU}

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	2026-05-18T04:14:27.631775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61c61d8589c0e772422ec47e08c72ebd0cdf30b7fc814d6cf10665d37cd585e3

Aliases

arxiv: 1003.0334 · arxiv_version: 1003.0334v1 · doi: 10.48550/arxiv.1003.0334 · pith_short_12: MHDB3BMJYDTX · pith_short_16: MHDB3BMJYDTXEQRO · pith_short_8: MHDB3BMJ

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/MHDB3BMJYDTXEQROYR7ARRZOXU \
  | 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: 61c61d8589c0e772422ec47e08c72ebd0cdf30b7fc814d6cf10665d37cd585e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61f11e43cc25ee564994a057f618296c40cc9f555b267323c6a3b2f0f2c98990",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-03-01T13:01:23Z",
    "title_canon_sha256": "77ad627657f6e5d3d0383866412f7ada3fa66eb5821614c75a1dfa79fd663689"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.0334",
    "kind": "arxiv",
    "version": 1
  }
}