Pith Number

pith:BPBE6CBM

pith:2026:BPBE6CBM2PMKAIUWNBNDYRORLE

not attested not anchored not stored refs pending

Enhancing LLM Training via Spectral Clipping

Andrei Semenov, Sebastian U. Stich, Xiaowen Jiang

arxiv:2603.14315 v2 · 2026-03-15 · cs.LG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BPBE6CBM2PMKAIUWNBNDYRORLE}

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

1 paper in Pith

Demystifying Manifold Constraints in LLM Pre-training

Receipt and verification

First computed	2026-05-29T02:05:42.872905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bc24f082cd3d8a02296685a3c45d15915b50f104c67787c94efd66184ebdf0b

Aliases

arxiv: 2603.14315 · arxiv_version: 2603.14315v2 · doi: 10.48550/arxiv.2603.14315 · pith_short_12: BPBE6CBM2PMK · pith_short_16: BPBE6CBM2PMKAIUW · pith_short_8: BPBE6CBM

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/BPBE6CBM2PMKAIUWNBNDYRORLE \
  | 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: 0bc24f082cd3d8a02296685a3c45d15915b50f104c67787c94efd66184ebdf0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d38863a22bad0ee685062044f4266675dbb00ecf6f6749e8bd0cee5b09471034",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-03-15T10:16:40Z",
    "title_canon_sha256": "23022389bd0c8616bd007fde1a55b44f58b519dbe10b257f2ad0d9c9fc44230a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.14315",
    "kind": "arxiv",
    "version": 2
  }
}