Pith Number

pith:5LYQDZDK

pith:2024:5LYQDZDKVRFYD7BEYRH3BMIBCM

not attested not anchored not stored refs pending

Normal integral representation for the joint survival function of the cumulative sums of the components of multinomial random vectors

Fr\'ed\'eric Ouimet

arxiv:2406.18509 v2 · 2024-06-26 · math.ST · math.PR · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5LYQDZDKVRFYD7BEYRH3BMIBCM}

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	2026-05-29T02:05:32.772535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaf101e46aac4b81fc24c44fb0b101131cfee8725f1902685539e3ee309c373f

Aliases

arxiv: 2406.18509 · arxiv_version: 2406.18509v2 · doi: 10.48550/arxiv.2406.18509 · pith_short_12: 5LYQDZDKVRFY · pith_short_16: 5LYQDZDKVRFYD7BE · pith_short_8: 5LYQDZDK

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/5LYQDZDKVRFYD7BEYRH3BMIBCM \
  | 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: eaf101e46aac4b81fc24c44fb0b101131cfee8725f1902685539e3ee309c373f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe5d77cce2c9b57429fde00e7dd2c9c59574d0259d909ce71a7dffe2f27764bc",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2024-06-26T17:30:22Z",
    "title_canon_sha256": "8030f7b5cd30a76f501041b8b22a937cf4d51f1615137625b7dbaa883cd63910"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.18509",
    "kind": "arxiv",
    "version": 2
  }
}