Pith Number

pith:ZXX6AZHH

pith:2012:ZXX6AZHHPKMLGIYB4I77ZSWD3Y

not attested not anchored not stored refs pending

Quenched large deviations for multidimensional random walk in random environment with holding times

Naoki Kubota, Ryoki Fukushima

arxiv:1202.5643 v2 · 2012-02-25 · 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{ZXX6AZHHPKMLGIYB4I77ZSWD3Y}

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	2026-05-18T02:30:32.866606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdefe064e77a98b32301e23ffccac3de2593f90f582c3827eed10404b46bca47

Aliases

arxiv: 1202.5643 · arxiv_version: 1202.5643v2 · doi: 10.48550/arxiv.1202.5643 · pith_short_12: ZXX6AZHHPKML · pith_short_16: ZXX6AZHHPKMLGIYB · pith_short_8: ZXX6AZHH

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/ZXX6AZHHPKMLGIYB4I77ZSWD3Y \
  | 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: cdefe064e77a98b32301e23ffccac3de2593f90f582c3827eed10404b46bca47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c262c0df411bbd0a36118b925d30d3fcb581253f2d9d3b94010e699218c46fda",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-25T12:11:14Z",
    "title_canon_sha256": "2af8174fa8d0a62ff0a560d31354b7221e21517580ad70aaac37253a29edce41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5643",
    "kind": "arxiv",
    "version": 2
  }
}