Pith Number

pith:7LGS2FYZ

pith:2023:7LGS2FYZYP5CYVZKPXLQUDKWUH

not attested not anchored not stored refs pending

An elementary proof of anti-concentration for degree two non-negative Gaussian polynomials

Ross Boczar, Stephen Tu

arxiv:2301.05992 v1 · 2023-01-15 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7LGS2FYZYP5CYVZKPXLQUDKWUH}

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

Optimization Hyper-parameter Laws for Large Language Models

Receipt and verification

First computed	2026-07-05T05:33:26.288878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

facd2d1719c3fa2c572a7dd70a0d56a1d0711dcc3c01f6b1706752b1f2a4e902

Aliases

arxiv: 2301.05992 · arxiv_version: 2301.05992v1 · doi: 10.48550/arxiv.2301.05992 · pith_short_12: 7LGS2FYZYP5C · pith_short_16: 7LGS2FYZYP5CYVZK · pith_short_8: 7LGS2FYZ

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/7LGS2FYZYP5CYVZKPXLQUDKWUH \
  | 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: facd2d1719c3fa2c572a7dd70a0d56a1d0711dcc3c01f6b1706752b1f2a4e902

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8625f8cf4b112a8b5e7d1c00c589713bfc0bc94b3818a4d725cdc720db2b04b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-01-15T00:06:37Z",
    "title_canon_sha256": "32c5514b60ca5570e45fe10cc648c3baf40ee5c7707dd55393900d9e710a234e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.05992",
    "kind": "arxiv",
    "version": 1
  }
}