Pith Number

pith:2P7QVRTB

pith:2009:2P7QVRTB5WPDE3IHWSMZCQ2OA6

not attested not anchored not stored refs pending

Granger causality for circular variables

Leonardo Angelini, Mario Pellicoro, Sebastiano Stramaglia

arxiv:0902.2341 v1 · 2009-02-13 · cond-mat.dis-nn · nlin.AO · physics.data-an · 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{2P7QVRTB5WPDE3IHWSMZCQ2OA6}

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	2026-05-18T02:14:47.945060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3ff0ac661ed9e326d07b49991434e079d1f95595085faa24a10004f82998476

Aliases

arxiv: 0902.2341 · arxiv_version: 0902.2341v1 · doi: 10.48550/arxiv.0902.2341 · pith_short_12: 2P7QVRTB5WPD · pith_short_16: 2P7QVRTB5WPDE3IH · pith_short_8: 2P7QVRTB

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/2P7QVRTB5WPDE3IHWSMZCQ2OA6 \
  | 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: d3ff0ac661ed9e326d07b49991434e079d1f95595085faa24a10004f82998476

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9859b989af7110aede94bd51f2409cd7c1367625acd57fd6f773bf9041edc82a",
    "cross_cats_sorted": [
      "nlin.AO",
      "physics.data-an",
      "q-bio.NC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2009-02-13T16:52:46Z",
    "title_canon_sha256": "f0a4b7dee54d4631eb0c860877bc4ac58b09bfff4f6b42ecf7b2f41f9f836324"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.2341",
    "kind": "arxiv",
    "version": 1
  }
}