Pith Number

pith:PBEMRERJ

pith:2016:PBEMRERJCOTKYFZ72ZQAYRVITT

not attested not anchored not stored refs pending

Bernoulli and tail-dependence compatibility

Marius Hofert, Paul Embrechts, Ruodu Wang

arxiv:1606.08212 v1 · 2016-06-27 · 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{PBEMRERJCOTKYFZ72ZQAYRVITT}

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	2026-05-18T01:11:52.544442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7848c8922913a6ac173fd6600c46a89cecd0bd02387cf6828484468bf7b23225

Aliases

arxiv: 1606.08212 · arxiv_version: 1606.08212v1 · doi: 10.48550/arxiv.1606.08212 · pith_short_12: PBEMRERJCOTK · pith_short_16: PBEMRERJCOTKYFZ7 · pith_short_8: PBEMRERJ

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/PBEMRERJCOTKYFZ72ZQAYRVITT \
  | 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: 7848c8922913a6ac173fd6600c46a89cecd0bd02387cf6828484468bf7b23225

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d45eb9e26150678aca6948e852c122e105b478900761860706f61891f3e5bdd2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-27T11:14:47Z",
    "title_canon_sha256": "eaa3595b3e9ff844c6c9505742a2e042c65a9cdc642ae233e5c8504ae1f1f222"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08212",
    "kind": "arxiv",
    "version": 1
  }
}