Pith Number

pith:5DTDP5BA

pith:2026:5DTDP5BAHBQ6F73PPZMPEIEQKO

not attested not anchored not stored refs pending

Scaling Laws for Hypernetwork-Based Knowledge Injection in Large Language Models

Abulhair Saparov, Dos Baha, Nischay Dhankhar

arxiv:2607.19604 v1 · 2026-07-21 · 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{5DTDP5BAHBQ6F73PPZMPEIEQKO}

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	2026-07-23T00:23:58.865145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8e637f4203861e2ff6f7e58f2209053a5faeec426f068b864b2fde646d21293

Aliases

arxiv: 2607.19604 · arxiv_version: 2607.19604v1 · doi: 10.48550/arxiv.2607.19604 · pith_short_12: 5DTDP5BAHBQ6 · pith_short_16: 5DTDP5BAHBQ6F73P · pith_short_8: 5DTDP5BA

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/5DTDP5BAHBQ6F73PPZMPEIEQKO \
  | 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: e8e637f4203861e2ff6f7e58f2209053a5faeec426f068b864b2fde646d21293

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29acbb466b1369b769ef2877a326c92695fba363ff901f8c9e82a49dd6a3b3a3",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2026-07-21T22:09:55Z",
    "title_canon_sha256": "9229b7cb72c4711deefe9ac8ead59e5970e03bc8d54301ac716b6fa4efdcc54b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19604",
    "kind": "arxiv",
    "version": 1
  }
}