Pith Number

pith:NQC46CHA

pith:2026:NQC46CHAIASB4Y4YHWWUKUQT7W

not attested not anchored not stored refs pending

The Granularity Gap: A Multi-Dimensional Longitudinal Audit of Sycophancy in Gemini Models

Patrick Keough

arxiv:2606.05183 v1 · 2026-04-19 · cs.CL · cs.AI · cs.HC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NQC46CHAIASB4Y4YHWWUKUQT7W}

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	2026-06-05T00:13:48.030815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c05cf08e040241e63983dad455213fd824ff0fdea25bd40dc7fc5aa3db85ed7

Aliases

arxiv: 2606.05183 · arxiv_version: 2606.05183v1 · doi: 10.48550/arxiv.2606.05183 · pith_short_12: NQC46CHAIASB · pith_short_16: NQC46CHAIASB4Y4Y · pith_short_8: NQC46CHA

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/NQC46CHAIASB4Y4YHWWUKUQT7W \
  | 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: 6c05cf08e040241e63983dad455213fd824ff0fdea25bd40dc7fc5aa3db85ed7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de8c1912ae764d1637f07df52a28fccc1718988612aab29126b25ffda2550ef4",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.HC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2026-04-19T01:26:18Z",
    "title_canon_sha256": "d3d0273cb75371bd1913ced3f0e3d124225be97b1e7f32128cdd6f5f2a95fbbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05183",
    "kind": "arxiv",
    "version": 1
  }
}