Pith Number

pith:M55YXTWB

pith:2015:M55YXTWB46TOANALY4KS52AGLW

not attested not anchored not stored refs pending

Granger causality for state space models

Anil K. Seth, Lionel Barnett

arxiv:1501.06502 v2 · 2015-01-26 · 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{M55YXTWB46TOANALY4KS52AGLW}

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	2026-05-18T01:11:51.797809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

677b8bcec1e7a6e0340bc7152ee8065d9c6e869adaaa55e5f0a8aa00bcfea671

Aliases

arxiv: 1501.06502 · arxiv_version: 1501.06502v2 · doi: 10.48550/arxiv.1501.06502 · pith_short_12: M55YXTWB46TO · pith_short_16: M55YXTWB46TOANAL · pith_short_8: M55YXTWB

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/M55YXTWB46TOANALY4KS52AGLW \
  | 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: 677b8bcec1e7a6e0340bc7152ee8065d9c6e869adaaa55e5f0a8aa00bcfea671

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df6aebe6d7ace7331bdebf7120caa9f92bdb8138074391b96dd7f4d26456090b",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-01-26T18:02:49Z",
    "title_canon_sha256": "551be7dfe1cc7d07307c635dce1599c31ad4b2d65d6a3f91ba635cc8ae3f0f0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06502",
    "kind": "arxiv",
    "version": 2
  }
}