Pith Number

pith:6OGVEALQ

pith:2011:6OGVEALQ4GOOJZDEXJE5V6OCN4

not attested not anchored not stored refs pending

A conditional quenched CLT for random walks among random conductances on $\mathbb{Z}^d$

Christophe Gallesco, Marina Vachkovskaia, Nina Gantert, Serguei Popov

arxiv:1108.5616 v2 · 2011-08-29 · 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{6OGVEALQ4GOOJZDEXJE5V6OCN4}

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	2026-05-18T03:31:30.986800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f38d520170e19ce4e464ba49daf9c26f323525351a19c8bdec30da36aae20979

Aliases

arxiv: 1108.5616 · arxiv_version: 1108.5616v2 · doi: 10.48550/arxiv.1108.5616 · pith_short_12: 6OGVEALQ4GOO · pith_short_16: 6OGVEALQ4GOOJZDE · pith_short_8: 6OGVEALQ

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/6OGVEALQ4GOOJZDEXJE5V6OCN4 \
  | 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: f38d520170e19ce4e464ba49daf9c26f323525351a19c8bdec30da36aae20979

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c45bb07f2a79a582579aa135ea4871fc36a795210a658890d4259fdd9cd42d9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-29T15:46:05Z",
    "title_canon_sha256": "4c1549ca35dbce5550345d3663b337f19adcf36eb5d7bba5c2c442f85b487cc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5616",
    "kind": "arxiv",
    "version": 2
  }
}