Pith Number

pith:M3WBF3C2

pith:2026:M3WBF3C2QZ7AGIFM55EMIL6WOW

not attested not anchored not stored refs pending

Auditing Question-Order Effects in Large Language Models with the QQ Equality: Mechanism Characterization and a Saturation Caveat

Pilsung Kang

arxiv:2607.17219 v1 · 2026-07-19 · cs.CL · cs.AI · quant-ph · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M3WBF3C2QZ7AGIFM55EMIL6WOW}

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	2026-07-21T01:21:21.868636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66ec12ec5a867e0320acef48c42fd6759d96bf37c861aa84381470f7b8eb0aa6

Aliases

arxiv: 2607.17219 · arxiv_version: 2607.17219v1 · doi: 10.48550/arxiv.2607.17219 · pith_short_12: M3WBF3C2QZ7A · pith_short_16: M3WBF3C2QZ7AGIFM · pith_short_8: M3WBF3C2

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/M3WBF3C2QZ7AGIFM55EMIL6WOW \
  | 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: 66ec12ec5a867e0320acef48c42fd6759d96bf37c861aa84381470f7b8eb0aa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34067fb43f97856c87172f959ecd3063d553495d2526ad602777773493f24662",
    "cross_cats_sorted": [
      "cs.AI",
      "quant-ph",
      "stat.ME"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2026-07-19T12:22:06Z",
    "title_canon_sha256": "93f79400f828ddb12ab67c0dc0946a6022a0b4f24a8103e42de88b6b7f652f35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17219",
    "kind": "arxiv",
    "version": 1
  }
}