Pith Number

pith:PUW2Q5AU

pith:2024:PUW2Q5AUGHWBUXKHMLQDPQZCMD

not attested not anchored not stored refs pending

Finer-Grained Hardness of Kernel Density Estimation

Josh Alman, Yunfeng Guan

arxiv:2407.02372 v1 · 2024-07-02 · cs.DS · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PUW2Q5AUGHWBUXKHMLQDPQZCMD}

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	2026-07-05T08:39:23.184852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d2da8741431ec1a5d4762e037c32260f429727a3c35a157036c501e1d218878

Aliases

arxiv: 2407.02372 · arxiv_version: 2407.02372v1 · doi: 10.48550/arxiv.2407.02372 · pith_short_12: PUW2Q5AUGHWB · pith_short_16: PUW2Q5AUGHWBUXKH · pith_short_8: PUW2Q5AU

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/PUW2Q5AUGHWBUXKHMLQDPQZCMD \
  | 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: 7d2da8741431ec1a5d4762e037c32260f429727a3c35a157036c501e1d218878

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ad83620a3daf137bf499c24dc69410562071b8011eeec5452ed1f631cf59661",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2024-07-02T15:41:47Z",
    "title_canon_sha256": "0a7d845e300028a088cee6df0dbf42d40c87e2092f41750f463ee339cf5b9642"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.02372",
    "kind": "arxiv",
    "version": 1
  }
}