Pith Number

pith:BMRHGFAJ

pith:2011:BMRHGFAJTGA4HVIARROA2UNPXU

not attested not anchored not stored refs pending

Of copulas, quantiles, ranks and spectra: An $L_1$-approach to spectral analysis

Holger Dette, Marc Hallin, Stanislav Volgushev, Tobias Kley

arxiv:1111.7205 v3 · 2011-11-30 · math.ST · 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{BMRHGFAJTGA4HVIARROA2UNPXU}

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	2026-05-18T01:59:53.794785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b227314099981c3d5008c5c0d51afbd15eb212d9bafa195f07962f750dfc9fd

Aliases

arxiv: 1111.7205 · arxiv_version: 1111.7205v3 · doi: 10.48550/arxiv.1111.7205 · pith_short_12: BMRHGFAJTGA4 · pith_short_16: BMRHGFAJTGA4HVIA · pith_short_8: BMRHGFAJ

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/BMRHGFAJTGA4HVIARROA2UNPXU \
  | 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: 0b227314099981c3d5008c5c0d51afbd15eb212d9bafa195f07962f750dfc9fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b173c67f34519baf181b638968435f0d171b9c92da36e363a4848173bef0e9b",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-11-30T15:22:59Z",
    "title_canon_sha256": "e529cbf46885853ef3cf6d950b9b63eeea438cbba58d2491b7fcc8277519bf46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.7205",
    "kind": "arxiv",
    "version": 3
  }
}