Pith Number

pith:56B3QW7I

pith:2021:56B3QW7IJ3X3PKWBCFCWJ2S35N

not attested not anchored not stored refs pending

Asymptotic Analysis of Higher-order Scattering Transform of Gaussian Processes

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

arxiv:2108.08794 v1 · 2021-08-19 · 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{56B3QW7IJ3X3PKWBCFCWJ2S35N}

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	2026-07-05T03:07:13.825012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef83b85be84eefb7aac1114564ea5beb71bbad0cacd97f5237bbb8dee5b7d47c

Aliases

arxiv: 2108.08794 · arxiv_version: 2108.08794v1 · doi: 10.48550/arxiv.2108.08794 · pith_short_12: 56B3QW7IJ3X3 · pith_short_16: 56B3QW7IJ3X3PKWB · pith_short_8: 56B3QW7I

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/56B3QW7IJ3X3PKWBCFCWJ2S35N \
  | 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: ef83b85be84eefb7aac1114564ea5beb71bbad0cacd97f5237bbb8dee5b7d47c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fb16fdc594e2b18ca359218554b06a5e53f5860e1e4aabe9a54b6930528dd05",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-08-19T17:06:19Z",
    "title_canon_sha256": "e595e215701b797b3cdb95ed0810d0b4c96ee0874b54b1af51bbf9f9624c3e0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.08794",
    "kind": "arxiv",
    "version": 1
  }
}