Pith Number

pith:ULLIVEJP

pith:2026:ULLIVEJP24QI52TULRRPQ6RRWG

not attested not anchored not stored refs pending

Forecasting Is Not Attribution: Localizing Decoder Bypass in Graph-Based Neural Marketing Mix Models

Bolbi Liu, Yunbo Wang

arxiv:2606.12687 v1 · 2026-06-10 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ULLIVEJP24QI52TULRRPQ6RRWG}

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	2026-06-12T01:08:45.417903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2d68a912fd7208eea745c62f87a31b182c365cf87bf03b98725e8c47bad60ea

Aliases

arxiv: 2606.12687 · arxiv_version: 2606.12687v1 · doi: 10.48550/arxiv.2606.12687 · pith_short_12: ULLIVEJP24QI · pith_short_16: ULLIVEJP24QI52TU · pith_short_8: ULLIVEJP

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/ULLIVEJP24QI52TULRRPQ6RRWG \
  | 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: a2d68a912fd7208eea745c62f87a31b182c365cf87bf03b98725e8c47bad60ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1eda392c865e9312b9428704e7604a8921182dd18dc55caf7ed6cd0fdead467e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-10T21:21:46Z",
    "title_canon_sha256": "127bc103e44e834da8681bfbb585fc73995fa240d612047f2eb5b3d37ee2db80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12687",
    "kind": "arxiv",
    "version": 1
  }
}