Pith Number

pith:PHB2I4UK

pith:2012:PHB2I4UKMEISH7AWSMPCEFU3NQ

not attested not anchored not stored refs pending

Spatio-temporal Granger causality: a new framework

Jianfeng Feng, Mingzhou Ding, Pedro A. Valdes-Sosa, Qiang Luo, Wei Cheng, Wenlian Lu, Xiaotong Wen

arxiv:1210.3889 v4 · 2012-10-15 · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PHB2I4UKMEISH7AWSMPCEFU3NQ}

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	2026-05-18T00:21:05.495444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79c3a4728a611123fc16931e22169b6c152e6bc7bf05984d5f8f3a88dfcff5d4

Aliases

arxiv: 1210.3889 · arxiv_version: 1210.3889v4 · doi: 10.48550/arxiv.1210.3889 · pith_short_12: PHB2I4UKMEIS · pith_short_16: PHB2I4UKMEISH7AW · pith_short_8: PHB2I4UK

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/PHB2I4UKMEISH7AWSMPCEFU3NQ \
  | 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: 79c3a4728a611123fc16931e22169b6c152e6bc7bf05984d5f8f3a88dfcff5d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2443516628085c04a1ff09fbf6e91c74c289d2e02508b6d15d30553e14a7c54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.AP",
    "submitted_at": "2012-10-15T03:42:15Z",
    "title_canon_sha256": "60a99d4eaf9b59f4c9ba8546f814d835a4cda294e53722dd2b7593105f90281d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3889",
    "kind": "arxiv",
    "version": 4
  }
}