Pith Number

pith:SP4DMTWR

pith:2026:SP4DMTWR37RIANODCWJNCDHIBH

not attested not anchored not stored refs pending

CausalMoE: A Billion-Scale Multimodal Foundation Model for Granger Causal Discovery with Pattern-Routed Heterogeneous Experts

Bo Liu, Di Dai, Guangkun Nie, Hongyan Li, Jiarui Jin, Jingwei Liu, Shenda Hong, Xiaocheng Fang

arxiv:2606.13024 v1 · 2026-06-11 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SP4DMTWR37RIANODCWJNCDHIBH}

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	2026-06-12T01:09:37.446874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93f8364ed1dfe28035c31592d10ce809d149bf20c60f2c17d5dcb1c567212e28

Aliases

arxiv: 2606.13024 · arxiv_version: 2606.13024v1 · doi: 10.48550/arxiv.2606.13024 · pith_short_12: SP4DMTWR37RI · pith_short_16: SP4DMTWR37RIANOD · pith_short_8: SP4DMTWR

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/SP4DMTWR37RIANODCWJNCDHIBH \
  | 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: 93f8364ed1dfe28035c31592d10ce809d149bf20c60f2c17d5dcb1c567212e28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "852f32f63c530eda6134069f435c6ba278e7f2365156ed536e8a5cad21456c23",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-11T07:57:23Z",
    "title_canon_sha256": "6741dc5e0cdd863f389d9536b9664232ab79a682e5ced0fd3fe5a8df3bdf2196"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13024",
    "kind": "arxiv",
    "version": 1
  }
}