Pith Number

pith:EA27QIMV

pith:2026:EA27QIMVIWITEUE6QUUTANG7ZX

not attested not anchored not stored refs pending

Behavioral and Representational Evidence of Binomial Ordering Preferences in Large Language Models

Hinrich Sch\"utze, Volker Tresp, Yilun Liu, Yunpu Ma, Zhiqing Yang

arxiv:2606.21645 v1 · 2026-06-19 · cs.CL · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EA27QIMVIWITEUE6QUUTANG7ZX}

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	2026-06-23T01:13:17.704579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2035f82195459132509e85293034dfcdc8e469d09acf1818053115efd3b8693b

Aliases

arxiv: 2606.21645 · arxiv_version: 2606.21645v1 · doi: 10.48550/arxiv.2606.21645 · pith_short_12: EA27QIMVIWIT · pith_short_16: EA27QIMVIWITEUE6 · pith_short_8: EA27QIMV

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/EA27QIMVIWITEUE6QUUTANG7ZX \
  | 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: 2035f82195459132509e85293034dfcdc8e469d09acf1818053115efd3b8693b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "514618180ddd4ae1f367047f7f42cf8bc038d91ece5cb15192cc6145eb7d5b8c",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2026-06-19T17:56:44Z",
    "title_canon_sha256": "7324b7b284e010da643c94114e3fff127a13aa6071bd588ca92a201a21a7c5fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21645",
    "kind": "arxiv",
    "version": 1
  }
}