Pith Number

pith:NT3JFM3Y

pith:2018:NT3JFM3YMPOOQXAW4LFHNCA7VB

not attested not anchored not stored refs pending

Assessing the effect of advertising expenditures upon sales: a Bayesian structural time series model

David G\'omez-Ullate, Pablo Angulo, Pablo Su\'arez-Garc\'ia, V\'ictor Gallego

arxiv:1801.03050 v3 · 2018-01-09 · stat.ML · econ.EM · q-fin.RM · 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{NT3JFM3YMPOOQXAW4LFHNCA7VB}

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	2026-05-17T23:44:48.446723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cf692b37863dce85c16e2ca76881fa865908a1be3eed05931817d7fd4cd2c5f

Aliases

arxiv: 1801.03050 · arxiv_version: 1801.03050v3 · doi: 10.48550/arxiv.1801.03050 · pith_short_12: NT3JFM3YMPOO · pith_short_16: NT3JFM3YMPOOQXAW · pith_short_8: NT3JFM3Y

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/NT3JFM3YMPOOQXAW4LFHNCA7VB \
  | 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: 6cf692b37863dce85c16e2ca76881fa865908a1be3eed05931817d7fd4cd2c5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f42ed662498d4cdbbebebca61a6ed7df1b4ba0b8a9bfdfebd76eba828fb9f642",
    "cross_cats_sorted": [
      "econ.EM",
      "q-fin.RM",
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2018-01-09T17:39:51Z",
    "title_canon_sha256": "fd7a8bde1c55e447562e0491346fec3c7a08c5d6e8d31badf53072b42a2a9eb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.03050",
    "kind": "arxiv",
    "version": 3
  }
}