Pith Number

pith:Z7CCT7ZN

pith:2011:Z7CCT7ZNHSY4ELOR5KR5D475ML

not attested not anchored not stored refs pending

Tail Asymptotic of Sum and Product of Random Variables with Applications in the Theory of Extremes of Conditionally Gaussian Processes

Andrey Sarantsev

arxiv:1107.3869 v2 · 2011-07-20 · math.PR · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z7CCT7ZNHSY4ELOR5KR5D475ML}

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	2026-05-18T03:26:20.925009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfc429ff2d3cb1c22dd1eaa3d1f3fd62d9f6dfa278370fc60d97388ee36ea9fd

Aliases

arxiv: 1107.3869 · arxiv_version: 1107.3869v2 · doi: 10.48550/arxiv.1107.3869 · pith_short_12: Z7CCT7ZNHSY4 · pith_short_16: Z7CCT7ZNHSY4ELOR · pith_short_8: Z7CCT7ZN

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/Z7CCT7ZNHSY4ELOR5KR5D475ML \
  | 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: cfc429ff2d3cb1c22dd1eaa3d1f3fd62d9f6dfa278370fc60d97388ee36ea9fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a958b43f74d9bd7c75484e851dba4c6c2e4cec68eabc812ef6ac3f373a78038",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-20T01:09:43Z",
    "title_canon_sha256": "8839eb286162640a6aebe143b4852e5c5868f497548f002a74f63ef9c938d847"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3869",
    "kind": "arxiv",
    "version": 2
  }
}