Pith Number

pith:RAP5XPZT

pith:2012:RAP5XPZTUR37P5B5ZS3GU35GDO

not attested not anchored not stored refs pending

Random walks with unbounded jumps among random conductances II: Conditional quenched CLT

Christophe Gallesco, Serguei Popov

arxiv:1210.0591 v2 · 2012-10-01 · 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{RAP5XPZTUR37P5B5ZS3GU35GDO}

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	2026-05-18T03:28:42.497894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

881fdbbf33a477f7f43dccb66a6fa61bb2ee9f5ae1123b76c8874ed7766d7f68

Aliases

arxiv: 1210.0591 · arxiv_version: 1210.0591v2 · doi: 10.48550/arxiv.1210.0591 · pith_short_12: RAP5XPZTUR37 · pith_short_16: RAP5XPZTUR37P5B5 · pith_short_8: RAP5XPZT

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/RAP5XPZTUR37P5B5ZS3GU35GDO \
  | 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: 881fdbbf33a477f7f43dccb66a6fa61bb2ee9f5ae1123b76c8874ed7766d7f68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "553f10a8acf355a1feaeed64cd8eaa791b4f9df16d01084ddef36a83441d0d1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-01T21:59:05Z",
    "title_canon_sha256": "2faf7fd6d3248408aaac4592ee14c3d436407a32f8bcab8f7156c6221859f8bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0591",
    "kind": "arxiv",
    "version": 2
  }
}