Pith Number

pith:Y7A3TBXE

pith:2026:Y7A3TBXEYR6EQQJZMC3CBW5VAF

not attested not anchored not stored refs pending

From Prompts to Tokens: Internalizing Causal Supervision in Vision-Language Model for Multi-Image Causal Reasoning

Haoping Yu, Jing Ma, Yuanxi Li

arxiv:2606.11745 v1 · 2026-06-10 · cs.CV · 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{Y7A3TBXEYR6EQQJZMC3CBW5VAF}

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	2026-06-11T01:10:05.829478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7c1b986e4c47c48413960b620dbb50152ae63cd9a812821f9dff6106af3893a

Aliases

arxiv: 2606.11745 · arxiv_version: 2606.11745v1 · doi: 10.48550/arxiv.2606.11745 · pith_short_12: Y7A3TBXEYR6E · pith_short_16: Y7A3TBXEYR6EQQJZ · pith_short_8: Y7A3TBXE

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/Y7A3TBXEYR6EQQJZMC3CBW5VAF \
  | 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: c7c1b986e4c47c48413960b620dbb50152ae63cd9a812821f9dff6106af3893a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24e97ef12307c34f520d4a4dc576d77175268db823256f4d66fce962c4ddb3d8",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.CV",
    "submitted_at": "2026-06-10T07:21:45Z",
    "title_canon_sha256": "d17b3785e0137a71b2ce20f81ad6cc4253e8f493edda1d7168eb7a3450c815b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11745",
    "kind": "arxiv",
    "version": 1
  }
}