Pith Number

pith:ULM3IBA7

pith:2018:ULM3IBA7JQNIIZYFVDYNDVDJ7R

not attested not anchored not stored refs pending

Granger Causality Analysis Based on Quantized Minimum Error Entropy Criterion

Badong Chen, Jing Qin, Rongjin Ma, Shaoyi Du, Siyu Yu

arxiv:1808.02430 v1 · 2018-08-07 · 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{ULM3IBA7JQNIIZYFVDYNDVDJ7R}

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	2026-05-17T23:53:29.494599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2d9b4041f4c1a846705a8f0d1d469fc48f48c3330f28c8749e802e0d7cb1da1

Aliases

arxiv: 1808.02430 · arxiv_version: 1808.02430v1 · doi: 10.48550/arxiv.1808.02430 · pith_short_12: ULM3IBA7JQNI · pith_short_16: ULM3IBA7JQNIIZYF · pith_short_8: ULM3IBA7

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/ULM3IBA7JQNIIZYFVDYNDVDJ7R \
  | 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: a2d9b4041f4c1a846705a8f0d1d469fc48f48c3330f28c8749e802e0d7cb1da1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1753d59382ef38dcf9e6acf66eb65f7ff958af83245e91f755e1d526e695935e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2018-08-07T15:52:18Z",
    "title_canon_sha256": "97570a41b1d9a50070813a752efab91c058bbfd7220d2549f2216ece32334ba6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.02430",
    "kind": "arxiv",
    "version": 1
  }
}