Pith Number

pith:GFBKXR45

pith:2016:GFBKXR45GAYLUCQI5RWOZBZ3OY

not attested not anchored not stored refs pending

A high-dimensional CLT in $\mathcal{W}_2$ distance with near optimal convergence rate

Alex Zhai

arxiv:1602.05565 v2 · 2016-02-17 · 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{GFBKXR45GAYLUCQI5RWOZBZ3OY}

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

A unified perspective on fine-tuning and sampling with diffusion and flow models

Receipt and verification

First computed	2026-05-18T00:39:47.929084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3142abc79d3030ba0a08ec6cec873b761897a72ace20ea62b51218f76baef959

Aliases

arxiv: 1602.05565 · arxiv_version: 1602.05565v2 · doi: 10.48550/arxiv.1602.05565 · pith_short_12: GFBKXR45GAYL · pith_short_16: GFBKXR45GAYLUCQI · pith_short_8: GFBKXR45

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/GFBKXR45GAYLUCQI5RWOZBZ3OY \
  | 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: 3142abc79d3030ba0a08ec6cec873b761897a72ace20ea62b51218f76baef959

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d85fe45b7c3a040c9fb176facb94b0e924316a11c95e66b6ff303ab21ccba22e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-02-17T20:43:16Z",
    "title_canon_sha256": "e593051f0b733cf0da2838923c70ae691eef70ed05ac9b6f2a524cfa2db8e278"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05565",
    "kind": "arxiv",
    "version": 2
  }
}