Pith Number

pith:OKRYSYK7

pith:2026:OKRYSYK7JORKC54EL4TAOR4HHG

not attested not anchored not stored refs pending

An expressivity analysis of hierarchical modelling in deep transformers via bounded-depth grammars

Pramod Thebe, Qiang Qu, Sakshi Khachariya, Tongliang Liu, Vinoth Nandakumar

arxiv:2606.17522 v1 · 2026-06-16 · 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{OKRYSYK7JORKC54EL4TAOR4HHG}

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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	2026-06-19T16:10:15.071595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72a389615f4ba2a177845f2607478739b9d1e163d88d3ed468910a01515a22a0

Aliases

arxiv: 2606.17522 · arxiv_version: 2606.17522v1 · doi: 10.48550/arxiv.2606.17522 · pith_short_12: OKRYSYK7JORK · pith_short_16: OKRYSYK7JORKC54E · pith_short_8: OKRYSYK7

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/OKRYSYK7JORKC54EL4TAOR4HHG \
  | 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: 72a389615f4ba2a177845f2607478739b9d1e163d88d3ed468910a01515a22a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5502372545d86d31fa9b16a8c31e6af5f0be7e53e88bd6082cdbcc5479615e6",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2026-06-16T05:02:13Z",
    "title_canon_sha256": "8072525ffc79e2de23cd4830a386d905f6c716992017e5aaa21035027dd87212"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17522",
    "kind": "arxiv",
    "version": 1
  }
}