Pith Number

pith:6BZAEEOS

pith:2009:6BZAEEOSPOSQTNEF2RGQZ62NP2

not attested not anchored not stored refs pending

Redundant variables and Granger causality

D. Marinazzo, L. Angelini, L. Nitti, M. De Tommaso, M. Pellicoro, S. Stramaglia

arxiv:0909.5117 v2 · 2009-09-28 · q-bio.QM · q-bio.NC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6BZAEEOSPOSQTNEF2RGQZ62NP2}

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	2026-05-18T02:11:36.884027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0720211d27ba509b485d44d0cfb4d7e87dbafb6098d0d3ddc841035df68d6a0

Aliases

arxiv: 0909.5117 · arxiv_version: 0909.5117v2 · doi: 10.48550/arxiv.0909.5117 · pith_short_12: 6BZAEEOSPOSQ · pith_short_16: 6BZAEEOSPOSQTNEF · pith_short_8: 6BZAEEOS

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/6BZAEEOSPOSQTNEF2RGQZ62NP2 \
  | 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: f0720211d27ba509b485d44d0cfb4d7e87dbafb6098d0d3ddc841035df68d6a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "994d58e566a4f4c2e7c7d732caab1bb0eff6d189228c14fef6cb536691cb6df5",
    "cross_cats_sorted": [
      "q-bio.NC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.QM",
    "submitted_at": "2009-09-28T15:27:00Z",
    "title_canon_sha256": "02064c90c00f5589d3670c82bfef07ff191bd0faf8f4a009955b5065de69d49b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.5117",
    "kind": "arxiv",
    "version": 2
  }
}