Pith Number

pith:NZ3U7IAK

pith:2025:NZ3U7IAKB3ARCOA6KVNUVOERKY

not attested not anchored not stored refs pending

Scaling depth capacity via zero/one-layer model expansion

Zhiqi Bu

arxiv:2511.04981 v2 · 2025-11-07 · 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{NZ3U7IAKB3ARCOA6KVNUVOERKY}

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.

Cited by

2 papers in Pith

Expert Upcycling: Shifting the Compute-Efficient Frontier of Mixture-of-Experts

Receipt and verification

First computed	2026-06-02T02:04:10.532202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e774fa00a0ec111381e555b4ab891561a10b628ccba76f1bdb1bc6afdfb2895

Aliases

arxiv: 2511.04981 · arxiv_version: 2511.04981v2 · doi: 10.48550/arxiv.2511.04981 · pith_short_12: NZ3U7IAKB3AR · pith_short_16: NZ3U7IAKB3ARCOA6 · pith_short_8: NZ3U7IAK

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/NZ3U7IAKB3ARCOA6KVNUVOERKY \
  | 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: 6e774fa00a0ec111381e555b4ab891561a10b628ccba76f1bdb1bc6afdfb2895

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1edac4ee97eec4f628d123f1f141174006979975c6fccd4d0d4000bd52460542",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-11-07T04:56:45Z",
    "title_canon_sha256": "2e61ede94508fea2be88f20cc53b824cfc70f98d717645d9a19951e5d20459a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.04981",
    "kind": "arxiv",
    "version": 2
  }
}