Pith Number

pith:66SFZXKQ

pith:2016:66SFZXKQXTDTLLXQLUU2W24H27

not attested not anchored not stored refs pending

The product of dependent random variables with applications to a discrete-time risk model

Fengyang Cheng, Hui Xu, Jikun Chen

arxiv:1606.03651 v2 · 2016-06-12 · 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{66SFZXKQXTDTLLXQLUU2W24H27}

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	2026-05-18T01:11:17.099541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7a45cdd50bcc735aef05d29ab6b87d7dc83e6887c50fb50440fcc1c185f8045

Aliases

arxiv: 1606.03651 · arxiv_version: 1606.03651v2 · doi: 10.48550/arxiv.1606.03651 · pith_short_12: 66SFZXKQXTDT · pith_short_16: 66SFZXKQXTDTLLXQ · pith_short_8: 66SFZXKQ

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/66SFZXKQXTDTLLXQLUU2W24H27 \
  | 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: f7a45cdd50bcc735aef05d29ab6b87d7dc83e6887c50fb50440fcc1c185f8045

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e694bea8d126d7a826df59f248a306394537d147f39955cb736733256b61a749",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-12T01:33:09Z",
    "title_canon_sha256": "285ff385125f47bb52bf592c714492ccf38637b6a428af42668fedf642b896dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03651",
    "kind": "arxiv",
    "version": 2
  }
}