Pith Number

pith:V5KGO7K6

pith:2017:V5KGO7K6FBDICGMYH5ZYHPESRH

not attested not anchored not stored refs pending

On Majorization in Dependence Modeling

Michael Preischl

arxiv:1709.04728 v1 · 2017-09-14 · 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{V5KGO7K6FBDICGMYH5ZYHPESRH}

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	2026-05-18T00:35:10.303294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af54677d5e28468119983f7383bc9289f364796fac99629aa7503b51a5d69205

Aliases

arxiv: 1709.04728 · arxiv_version: 1709.04728v1 · doi: 10.48550/arxiv.1709.04728 · pith_short_12: V5KGO7K6FBDI · pith_short_16: V5KGO7K6FBDICGMY · pith_short_8: V5KGO7K6

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/V5KGO7K6FBDICGMYH5ZYHPESRH \
  | 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: af54677d5e28468119983f7383bc9289f364796fac99629aa7503b51a5d69205

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c814b8a3d40d4dd85cb8a616da15e9ed555c8a9b23937782938a3544122739ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-09-14T12:20:00Z",
    "title_canon_sha256": "f6f61fcaef1249c97839443dd7f85e9466b01768d095661dddf5d2d4f4fbf914"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.04728",
    "kind": "arxiv",
    "version": 1
  }
}