Pith Number

pith:TP2YK3TJ

pith:2026:TP2YK3TJHVNB7JA5WTUKFY3JSP

not attested not anchored not stored refs pending

Identifiable Equivariant Networks are Layerwise Equivariant

Georg B\"okman, Giovanni Luca Marchetti, Kathl\'en Kohn, Vahid Shahverdi

arxiv:2601.21645 v2 · 2026-01-29 · cs.LG · math.CT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TP2YK3TJHVNB7JA5WTUKFY3JSP}

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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

Most ReLU Networks Admit Identifiable Parameters

Receipt and verification

First computed	2026-06-01T01:02:30.779841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bf5856e693d5a1fa41db4e8a2e36993c6aa6a4aed4e4f98af1b6a89681b049f

Aliases

arxiv: 2601.21645 · arxiv_version: 2601.21645v2 · doi: 10.48550/arxiv.2601.21645 · pith_short_12: TP2YK3TJHVNB · pith_short_16: TP2YK3TJHVNB7JA5 · pith_short_8: TP2YK3TJ

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/TP2YK3TJHVNB7JA5WTUKFY3JSP \
  | 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: 9bf5856e693d5a1fa41db4e8a2e36993c6aa6a4aed4e4f98af1b6a89681b049f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d869e0a5d4fef278a2e4a663d18f019883536cb572595ffa918e4f91d32192bd",
    "cross_cats_sorted": [
      "math.CT",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-01-29T12:47:51Z",
    "title_canon_sha256": "cab38f5033260169b3309a24afc597f4385380bc125b563b5195e9a5cb0f8310"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.21645",
    "kind": "arxiv",
    "version": 2
  }
}