Pith Number

pith:Q5R7LRC6

pith:2009:Q5R7LRC67A23Y4WWZX7IH6TEEE

not attested not anchored not stored refs pending

An information theoretic approach to statistical dependence: copula information

Rafael S. Calsaverini, Renato Vicente

arxiv:0911.4207 v1 · 2009-11-21 · q-fin.ST · cs.IT · math.IT · physics.data-an · stat.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q5R7LRC67A23Y4WWZX7IH6TEEE}

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	2026-05-18T04:10:23.865766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8763f5c45ef835bc72d6cdfe83fa64210caac2f5dffb82acdd8ec7a2f0202f1b

Aliases

arxiv: 0911.4207 · arxiv_version: 0911.4207v1 · doi: 10.48550/arxiv.0911.4207 · pith_short_12: Q5R7LRC67A23 · pith_short_16: Q5R7LRC67A23Y4WW · pith_short_8: Q5R7LRC6

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/Q5R7LRC67A23Y4WWZX7IH6TEEE \
  | 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: 8763f5c45ef835bc72d6cdfe83fa64210caac2f5dffb82acdd8ec7a2f0202f1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e18b493b77f5ba4965ad816921fd1f8675d8c7e7230c3943aba5a587c9166c7",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "physics.data-an",
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.ST",
    "submitted_at": "2009-11-21T22:41:35Z",
    "title_canon_sha256": "5c59a6053dd8d7dc22bc990e9aa993ef807b2828f53f5844f1e1b4b8222197ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4207",
    "kind": "arxiv",
    "version": 1
  }
}