Pith Number

pith:7HAXDK4Z

pith:2026:7HAXDK4ZUOACMUPRUKJGBNGJUK

not attested not anchored not stored refs pending

How Many Counterfactuals Does It Take? Probing VLM Hallucinations Through Circuits and Causal Effects

Abhivansh Gupta, Advika Sinha, Akshat Tomar, Shreyansh Modi, Simardeep Singh

arxiv:2606.08777 v1 · 2026-06-07 · 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{7HAXDK4ZUOACMUPRUKJGBNGJUK}

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	2026-06-09T02:07:38.870383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9c171ab99a3802651f1a29260b4c9a296ba7d65dfdb76a85511530fb7b355f1

Aliases

arxiv: 2606.08777 · arxiv_version: 2606.08777v1 · doi: 10.48550/arxiv.2606.08777 · pith_short_12: 7HAXDK4ZUOAC · pith_short_16: 7HAXDK4ZUOACMUPR · pith_short_8: 7HAXDK4Z

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/7HAXDK4ZUOACMUPRUKJGBNGJUK \
  | 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: f9c171ab99a3802651f1a29260b4c9a296ba7d65dfdb76a85511530fb7b355f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3a9660f8bfbb0fe8be4a6890cf48593479262260b30cc1bf4b9c3a89846610a",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-07T18:45:29Z",
    "title_canon_sha256": "7a7fa9bbf139d13efd45473c298d648a7d96e4f5c870315667ca8453a794d7bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08777",
    "kind": "arxiv",
    "version": 1
  }
}