Pith Number

pith:CFWW5RFZ

pith:2026:CFWW5RFZZSYEH5XRHTZRCZKYGS

not attested not anchored not stored refs pending

Separation Capacity of Scattering Networks

Helmut B\"olcskei, Konstantin H\"aberle

arxiv:2606.30822 v1 · 2026-06-29 · stat.ML · cs.IT · cs.LG · math.CV · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CFWW5RFZZSYEH5XRHTZRCZKYGS}

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

Function-Counting Theory for Low-Dimensional Data Structures

Receipt and verification

First computed	2026-07-01T00:17:18.483335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

116d6ec4b9ccb043f6f13cf31165583480f61e1618ac0abb27af136580563482

Aliases

arxiv: 2606.30822 · arxiv_version: 2606.30822v1 · doi: 10.48550/arxiv.2606.30822 · pith_short_12: CFWW5RFZZSYE · pith_short_16: CFWW5RFZZSYEH5XR · pith_short_8: CFWW5RFZ

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/CFWW5RFZZSYEH5XRHTZRCZKYGS \
  | 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: 116d6ec4b9ccb043f6f13cf31165583480f61e1618ac0abb27af136580563482

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09340e1547c1cb5178b2e2f13a5ab427fabe58c31dec5e42d60447133274a655",
    "cross_cats_sorted": [
      "cs.IT",
      "cs.LG",
      "math.CV",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-06-29T18:51:44Z",
    "title_canon_sha256": "a250eaabe2a6ab37950be3706c5fe3a0ccc24b7b8cce4adf5fd9e473165eb313"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30822",
    "kind": "arxiv",
    "version": 1
  }
}