Pith Number

pith:SXCO764T

pith:2012:SXCO764TTG3HSQJSNSAEE4THIH

not attested not anchored not stored refs pending

Network Granger Causality with Inherent Grouping Structure

Ali Shojaie, George Michailidis, Sumanta Basu

arxiv:1210.3711 v3 · 2012-10-13 · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SXCO764TTG3HSQJSNSAEE4THIH}

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	2026-05-18T03:11:09.555824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95c4effb9399b67941326c8042726741c50301b88edc4ba00baaf0508059c0d7

Aliases

arxiv: 1210.3711 · arxiv_version: 1210.3711v3 · doi: 10.48550/arxiv.1210.3711 · pith_short_12: SXCO764TTG3H · pith_short_16: SXCO764TTG3HSQJS · pith_short_8: SXCO764T

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/SXCO764TTG3HSQJSNSAEE4THIH \
  | 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: 95c4effb9399b67941326c8042726741c50301b88edc4ba00baaf0508059c0d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "201932c2692c18b3e9b252c72c67880c9bc516037186990e2edf563ea3a9a48d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2012-10-13T14:46:02Z",
    "title_canon_sha256": "a61dc7642289e60d03b9e106370fd3b1e4f40d9852294fb2081c0e7aa391bbe0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3711",
    "kind": "arxiv",
    "version": 3
  }
}