Pith Number

pith:ZKUIIUH5

pith:2023:ZKUIIUH5IFT466UGWMPOVXWTLJ

not attested not anchored not stored refs pending

Gaussian Approximation for the Moving Averaged Modulus Wavelet Transform and its Variants

Gi-Ren Liu, Hau-Tieng Wu, Yuan-Chung Sheu

arxiv:2301.01540 v2 · 2023-01-04 · 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{ZKUIIUH5IFT466UGWMPOVXWTLJ}

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	2026-07-05T09:23:42.683923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caa88450fd4167cf7a86b31eeaded35a5f8d24abed91bc6ddde6676b959b9cb9

Aliases

arxiv: 2301.01540 · arxiv_version: 2301.01540v2 · doi: 10.48550/arxiv.2301.01540 · pith_short_12: ZKUIIUH5IFT4 · pith_short_16: ZKUIIUH5IFT466UG · pith_short_8: ZKUIIUH5

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/ZKUIIUH5IFT466UGWMPOVXWTLJ \
  | 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: caa88450fd4167cf7a86b31eeaded35a5f8d24abed91bc6ddde6676b959b9cb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48ea169a637a79fb7c3aae71207aecc056bfbf492e6e0e46b9e7c09252b55fc5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-01-04T11:08:07Z",
    "title_canon_sha256": "5744b9449c8f20deaf6e6e85d63d334eaee49a841dbcb5d4a9fffe0d954771e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.01540",
    "kind": "arxiv",
    "version": 2
  }
}