Pith Number

pith:XY3U2NGV

pith:2015:XY3U2NGVMHF2HZVVEDJES44CCR

not attested not anchored not stored refs pending

State Space Methods for Granger-Geweke Causality Measures

Victor Solo

arxiv:1501.04663 v1 · 2015-01-19 · 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{XY3U2NGVMHF2HZVVEDJES44CCR}

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	2026-05-18T02:29:03.142351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be374d34d561cba3e6b520d24973821465c90c30f40e48486b218bceb1afde74

Aliases

arxiv: 1501.04663 · arxiv_version: 1501.04663v1 · doi: 10.48550/arxiv.1501.04663 · pith_short_12: XY3U2NGVMHF2 · pith_short_16: XY3U2NGVMHF2HZVV · pith_short_8: XY3U2NGV

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/XY3U2NGVMHF2HZVVEDJES44CCR \
  | 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: be374d34d561cba3e6b520d24973821465c90c30f40e48486b218bceb1afde74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2768b5d5721b049df36c90f8822d7bebbedcb773f45b8ec455b6cc856055e783",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-01-19T22:51:23Z",
    "title_canon_sha256": "112dcf4264919f3351609094bcaf9b191a89b426c2c03fedf4f3af37b85dc8ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04663",
    "kind": "arxiv",
    "version": 1
  }
}