Pith Number

pith:ZTW2T73U

pith:2013:ZTW2T73UWQX7BTZRIFQWL3BJRN

not attested not anchored not stored refs pending

Integral representation of random variables with respect to Gaussian processes

Lauri Viitasaari

arxiv:1307.7559 v7 · 2013-07-29 · 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{ZTW2T73UWQX7BTZRIFQWL3BJRN}

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	2026-05-18T01:23:21.029229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cceda9ff74b42ff0cf31416165ec298b467fa7efa188346b6dfa6cb25dfc5025

Aliases

arxiv: 1307.7559 · arxiv_version: 1307.7559v7 · doi: 10.48550/arxiv.1307.7559 · pith_short_12: ZTW2T73UWQX7 · pith_short_16: ZTW2T73UWQX7BTZR · pith_short_8: ZTW2T73U

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/ZTW2T73UWQX7BTZRIFQWL3BJRN \
  | 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: cceda9ff74b42ff0cf31416165ec298b467fa7efa188346b6dfa6cb25dfc5025

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5fba66d57a247c7741027e77767144b6a6cd107bc16c84746f7ee2fe7ae7ede",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-29T12:44:03Z",
    "title_canon_sha256": "f6e4200ca0ed46f2b8379c29f14802160cc7f9c4e084145971962a67077fad7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7559",
    "kind": "arxiv",
    "version": 7
  }
}