Pith Number

pith:4BNWHFIM

pith:2026:4BNWHFIMFCEGUZGVISXSSR3Q5C

not attested not anchored not stored refs pending

Instruction-Tuned Language Models Cannot Sample from Distributions They Can Describe

Chaemin Jang, Dongman Lee, Jihee Kim

arxiv:2607.25292 v1 · 2026-07-28 · 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{4BNWHFIMFCEGUZGVISXSSR3Q5C}

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	2026-07-29T01:25:07.211285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e05b63950c28886a64d544af294770e8b4ac85f95ff0e2fc6326229568916476

Aliases

arxiv: 2607.25292 · arxiv_version: 2607.25292v1 · doi: 10.48550/arxiv.2607.25292 · pith_short_12: 4BNWHFIMFCEG · pith_short_16: 4BNWHFIMFCEGUZGV · pith_short_8: 4BNWHFIM

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/4BNWHFIMFCEGUZGVISXSSR3Q5C \
  | 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: e05b63950c28886a64d544af294770e8b4ac85f95ff0e2fc6326229568916476

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efbe61f3046b525663ac58baf6e086ef46ef0409c2a9db3cf57039241b67d5c2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-07-28T04:58:46Z",
    "title_canon_sha256": "7de1856178befc2921fd3eb088a2d4a5caf1aff80fccbb1e2a96064baf968cbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25292",
    "kind": "arxiv",
    "version": 1
  }
}