Pith Number

pith:HIXUI65G

pith:2021:HIXUI65GFWK2LZQ4RBRM6GFYEI

not attested not anchored not stored refs pending

On the distribution of the sum of dependent standard normally distributed random variables using copulas

Walter Schneider

arxiv:2107.00007 v1 · 2021-06-30 · stat.CO · 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{HIXUI65GFWK2LZQ4RBRM6GFYEI}

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	2026-07-05T02:54:19.620187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a2f447ba62d95a5e61c8862cf18b82229fd0bd8652a17a03ba640a1089e3d60

Aliases

arxiv: 2107.00007 · arxiv_version: 2107.00007v1 · doi: 10.48550/arxiv.2107.00007 · pith_short_12: HIXUI65GFWK2 · pith_short_16: HIXUI65GFWK2LZQ4 · pith_short_8: HIXUI65G

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/HIXUI65GFWK2LZQ4RBRM6GFYEI \
  | 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: 3a2f447ba62d95a5e61c8862cf18b82229fd0bd8652a17a03ba640a1089e3d60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3677e8952b3119d3a6a97052db5ab5ca3175b657eac2e0b45ad07eb1c31578f7",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2021-06-30T12:57:43Z",
    "title_canon_sha256": "18604cf2e9d668e3d6eb30490ac230d227a681f12dcb3943d5347305ca04887c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.00007",
    "kind": "arxiv",
    "version": 1
  }
}