Pith Number

pith:DLP4VVRR

pith:2011:DLP4VVRR62RM7UREPHSDUPXTWI

not attested not anchored not stored refs pending

Quenched invariance principle for simple random walk on discrete point processes

Naoki Kubota

arxiv:1105.5740 v4 · 2011-05-28 · 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{DLP4VVRR62RM7UREPHSDUPXTWI}

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	2026-05-18T02:21:49.441229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1adfcad631f6a2cfd22479e43a3ef3b2172abe032ca4a028c17888d205929420

Aliases

arxiv: 1105.5740 · arxiv_version: 1105.5740v4 · doi: 10.48550/arxiv.1105.5740 · pith_short_12: DLP4VVRR62RM · pith_short_16: DLP4VVRR62RM7URE · pith_short_8: DLP4VVRR

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/DLP4VVRR62RM7UREPHSDUPXTWI \
  | 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: 1adfcad631f6a2cfd22479e43a3ef3b2172abe032ca4a028c17888d205929420

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df908a6e80c139b0a2c47ac2449fa74281ed55da18d26f8a71fced93a9069a81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-05-28T21:25:49Z",
    "title_canon_sha256": "51962ba8f38e014852b63c64365730e19ec50149329803ffa0604abdee2561ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5740",
    "kind": "arxiv",
    "version": 4
  }
}