Pith Number

pith:U5YE4CIJ

pith:2012:U5YE4CIJWKJSYJARNHUUMJ64P7

not attested not anchored not stored refs pending

Moderate deviations principle for empirical covariance from a unit root

Guangyu Yang, Yanling Wang, Yu Miao

arxiv:1207.4031 v1 · 2012-07-17 · 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{U5YE4CIJWKJSYJARNHUUMJ64P7}

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	2026-05-18T03:50:49.190048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7704e0909b2932c241169e94627dc7fd8686378564ac707f84b260e30b9d140

Aliases

arxiv: 1207.4031 · arxiv_version: 1207.4031v1 · doi: 10.48550/arxiv.1207.4031 · pith_short_12: U5YE4CIJWKJS · pith_short_16: U5YE4CIJWKJSYJAR · pith_short_8: U5YE4CIJ

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/U5YE4CIJWKJSYJARNHUUMJ64P7 \
  | 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: a7704e0909b2932c241169e94627dc7fd8686378564ac707f84b260e30b9d140

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f509d2e74167e26a4c1543cc4d3f5dfd419016074a7afc6fc73be74b099d4c08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-17T15:31:12Z",
    "title_canon_sha256": "38a8e90cf8a56bf854ca8f4d8e248d5776080a2086fce9fd3c7864897c0e3b3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4031",
    "kind": "arxiv",
    "version": 1
  }
}