Pith Number

pith:GD5VZGMZ

pith:2026:GD5VZGMZZAHEOILM5I43OILUJF

not attested not anchored not stored refs pending

Is SwiGLU's Open Positive Tail Necessary? Evidence from Closed-Tail Gating with MemGLU

Mingkai Nie, Pengju Yang, Yuting Ge

arxiv:2608.07323 v1 · 2026-08-07 · 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{GD5VZGMZZAHEOILM5I43OILUJF}

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	2026-08-10T01:14:59.616572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30fb5c9999c80e47216cea39b721744971a70587fd979c5026a5e0f736621705

Aliases

arxiv: 2608.07323 · arxiv_version: 2608.07323v1 · doi: 10.48550/arxiv.2608.07323 · pith_short_12: GD5VZGMZZAHE · pith_short_16: GD5VZGMZZAHEOILM · pith_short_8: GD5VZGMZ

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/GD5VZGMZZAHEOILM5I43OILUJF \
  | 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: 30fb5c9999c80e47216cea39b721744971a70587fd979c5026a5e0f736621705

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc0d4e147fc4ea7204dc7bb0d3cb8bc9e2ba0bd0d04fa119917237ec3cd15049",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-08-07T15:20:24Z",
    "title_canon_sha256": "309866fe91ba1b41c63c18f54a303eceef8e8569b2c56b3fde0ad105a5a43e14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.07323",
    "kind": "arxiv",
    "version": 1
  }
}