Pith Number

pith:56M7FWXG

pith:2019:56M7FWXGYBJBBK43RJQZEU2F3I

not attested not anchored not stored refs pending

A new Granger causality measure for eliminating the confounding influence of latent common inputs

Takashi Arai

arxiv:1908.03867 v1 · 2019-08-11 · stat.ME · physics.data-an · q-bio.QM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{56M7FWXGYBJBBK43RJQZEU2F3I}

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	2026-07-04T23:53:19.045033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef99f2dae6c05210ab9b8a61925345da2f93e055b57973d8cc33d6272bd19507

Aliases

arxiv: 1908.03867 · arxiv_version: 1908.03867v1 · doi: 10.48550/arxiv.1908.03867 · pith_short_12: 56M7FWXGYBJB · pith_short_16: 56M7FWXGYBJBBK43 · pith_short_8: 56M7FWXG

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/56M7FWXGYBJBBK43RJQZEU2F3I \
  | 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: ef99f2dae6c05210ab9b8a61925345da2f93e055b57973d8cc33d6272bd19507

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb251766fc34782522cb8a7cf3a73f1b430a48850b9b72ccf71baf443325800e",
    "cross_cats_sorted": [
      "physics.data-an",
      "q-bio.QM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2019-08-11T08:04:55Z",
    "title_canon_sha256": "953d4171c651e6a939609d9a5cc457cafdfa6d557cc1c1e96cf24c2cb73a3a12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03867",
    "kind": "arxiv",
    "version": 1
  }
}