Pith Number

pith:6GSXYKKI

pith:2026:6GSXYKKIIQL4UF7DPFYGF3KWOX

not attested not anchored not stored refs pending

Dissecting Spectral Granger Causality through Partial Information Decomposition

Daniele Marinazzo, Gorana Mijatovic, Luca Faes, Riccardo Pernice, Sebastiano Stramaglia, Yuri Antonacci

arxiv:2603.07634 v2 · 2026-03-08 · stat.ME · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6GSXYKKIIQL4UF7DPFYGF3KWOX}

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.

Cited by

1 paper in Pith

Partial Effective Information Decomposition for Synergistic Causality

Receipt and verification

First computed	2026-07-07T03:18:54.667590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1a57c29484417ca17e3797062ed5675cf1be30b706e623052138fd028bcb22a

Aliases

arxiv: 2603.07634 · arxiv_version: 2603.07634v2 · doi: 10.48550/arxiv.2603.07634 · pith_short_12: 6GSXYKKIIQL4 · pith_short_16: 6GSXYKKIIQL4UF7D · pith_short_8: 6GSXYKKI

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/6GSXYKKIIQL4UF7DPFYGF3KWOX \
  | 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: f1a57c29484417ca17e3797062ed5675cf1be30b706e623052138fd028bcb22a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b0f78b519ad46e5e6a89e7dee105a84c2c502e1aeb7261baa7bf2d7e13afb44",
    "cross_cats_sorted": [
      "physics.data-an"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-03-08T13:40:35Z",
    "title_canon_sha256": "e174fc5353e0e513e5d365b8a0041e99e6a657c8906a40d190bd1fa72948e0b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.07634",
    "kind": "arxiv",
    "version": 2
  }
}