Pith Number

pith:7KXQEIHR

pith:2026:7KXQEIHRQEBE6UNGGKBA2QLP64

not attested not anchored not stored refs pending

On the Depth Scalability of Logic Gate Networks

Changhee Joo, Dohun Kim, Haebeom Lee, Taegun An

arxiv:2607.21633 v1 · 2026-07-19 · cs.LG · cs.AI · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7KXQEIHRQEBE6UNGGKBA2QLP64}

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	2026-07-27T00:20:12.081511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

faaf0220f181024f51a632820d416ff715ab98624c90a137e062990ab0da8cf1

Aliases

arxiv: 2607.21633 · arxiv_version: 2607.21633v1 · doi: 10.48550/arxiv.2607.21633 · pith_short_12: 7KXQEIHRQEBE · pith_short_16: 7KXQEIHRQEBE6UNG · pith_short_8: 7KXQEIHR

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/7KXQEIHRQEBE6UNGGKBA2QLP64 \
  | 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: faaf0220f181024f51a632820d416ff715ab98624c90a137e062990ab0da8cf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a278074ab71b77e7a3aaf48b7e9447c15a7fa1d0f6ee94643faa33155a40a182",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-19T20:11:53Z",
    "title_canon_sha256": "d86bd6be9471bdb5e230db9d1e623c99178eb61124bca19e140fc420f9f6f819"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21633",
    "kind": "arxiv",
    "version": 1
  }
}