Pith Number

pith:LOMELHLT

pith:2011:LOMELHLTIDOLZ4IZDZE6TAXV5W

not attested not anchored not stored refs pending

Biased random walk in positive random conductances on $\mathbb{Z}^{d}$

Alexander Fribergh

arxiv:1107.0706 v2 · 2011-07-04 · 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{LOMELHLTIDOLZ4IZDZE6TAXV5W}

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	2026-05-18T03:04:50.225760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b98459d7340dcbcf1191e49e982f5eda8d7cc5b83ad8c9da28f2ae9a3052239

Aliases

arxiv: 1107.0706 · arxiv_version: 1107.0706v2 · doi: 10.48550/arxiv.1107.0706 · pith_short_12: LOMELHLTIDOL · pith_short_16: LOMELHLTIDOLZ4IZ · pith_short_8: LOMELHLT

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/LOMELHLTIDOLZ4IZDZE6TAXV5W \
  | 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: 5b98459d7340dcbcf1191e49e982f5eda8d7cc5b83ad8c9da28f2ae9a3052239

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "041f3806fd281f1c4c2d0a269aaac625bcec3c6cde4baf1979dc5d895dd40886",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-04T19:03:21Z",
    "title_canon_sha256": "081b504d253e2adc689d3635d1c6df2fc659996c580cc6dd4d829da1c891c806"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0706",
    "kind": "arxiv",
    "version": 2
  }
}