Pith Number

pith:IMTSO3ZS

pith:2018:IMTSO3ZSA2WXLP2W4WFZSP7BPB

not attested not anchored not stored refs pending

On Minimal Copulas under the Concordance Order

Jae Youn Ahn, Sebastian Fuchs

arxiv:1809.06099 v3 · 2018-09-17 · 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{IMTSO3ZSA2WXLP2W4WFZSP7BPB}

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	2026-05-18T00:02:49.043024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4327276f3206ad75bf56e58b993fe178428553302bdfcca45a34ce568728ebad

Aliases

arxiv: 1809.06099 · arxiv_version: 1809.06099v3 · doi: 10.48550/arxiv.1809.06099 · pith_short_12: IMTSO3ZSA2WX · pith_short_16: IMTSO3ZSA2WXLP2W · pith_short_8: IMTSO3ZS

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/IMTSO3ZSA2WXLP2W4WFZSP7BPB \
  | 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: 4327276f3206ad75bf56e58b993fe178428553302bdfcca45a34ce568728ebad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5fc6091f5d005e51d6ac938d0f8ebb419f24c5f153b61889d36d4a15c2b3fef",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2018-09-17T09:46:15Z",
    "title_canon_sha256": "37e05eb881fcec2be976c60f004904a6850983da93fb7635ac642a1a623f60e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.06099",
    "kind": "arxiv",
    "version": 3
  }
}