Pith Number

pith:OPP3XGGK

pith:2026:OPP3XGGKHRMSI5Q5HLMZT6WCJN

not attested not anchored not stored refs pending

CascadeFormer: Depth-Tapered Transformers Motivated by Gradient Fan-in Asymmetry

Cao Viet Hai Nam, Huzama Ahmad, Se-Young Yun

arxiv:2606.26538 v1 · 2026-06-25 · cs.LG · 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{OPP3XGGKHRMSI5Q5HLMZT6WCJN}

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	2026-06-26T01:15:33.977984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73dfbb98ca3c5924761d3ad999fac24b7225f3ae5fc450aa5185efba3dd0f178

Aliases

arxiv: 2606.26538 · arxiv_version: 2606.26538v1 · doi: 10.48550/arxiv.2606.26538 · pith_short_12: OPP3XGGKHRMS · pith_short_16: OPP3XGGKHRMSI5Q5 · pith_short_8: OPP3XGGK

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/OPP3XGGKHRMSI5Q5HLMZT6WCJN \
  | 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: 73dfbb98ca3c5924761d3ad999fac24b7225f3ae5fc450aa5185efba3dd0f178

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8483fa3b4a02f5b8281ee5a37686b85d2fdd7b0307a98ad177a24f58f9cc5e2a",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-25T02:25:00Z",
    "title_canon_sha256": "5e17b206cf527f8caaab89fb3eaf6903a0ab8413eba91b2bf189e2997ccf519a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26538",
    "kind": "arxiv",
    "version": 1
  }
}