Pith Number

pith:WB34EHJU

pith:2017:WB34EHJUR5IDA2EMVIHBHLYPDM

not attested not anchored not stored refs pending

Granger Causality Networks for Categorical Time Series

Alex Tank, Ali Shojaie, Emily B. Fox

arxiv:1706.02781 v1 · 2017-06-08 · 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{WB34EHJUR5IDA2EMVIHBHLYPDM}

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	2026-05-18T00:42:40.940494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b077c21d348f5030688caa0e13af0f1b3a89e2e82faf045af7d2932ba69de3b4

Aliases

arxiv: 1706.02781 · arxiv_version: 1706.02781v1 · doi: 10.48550/arxiv.1706.02781 · pith_short_12: WB34EHJUR5ID · pith_short_16: WB34EHJUR5IDA2EM · pith_short_8: WB34EHJU

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/WB34EHJUR5IDA2EMVIHBHLYPDM \
  | 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: b077c21d348f5030688caa0e13af0f1b3a89e2e82faf045af7d2932ba69de3b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f92b309758fb8b1f36bddb72b66214b0470cb61f193754215b030023068d0a30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2017-06-08T22:02:06Z",
    "title_canon_sha256": "f25d1a3698efca4b5e9e021ab2381f76e4c5110565ec7c1f4a31d69778f7df12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.02781",
    "kind": "arxiv",
    "version": 1
  }
}