Pith Number

pith:UMNNFAAM

pith:2023:UMNNFAAMPNGG6IPVL4D7MRQ2SH

not attested not anchored not stored refs pending

Learning Layer-wise Equivariances Automatically using Gradients

Alexander Immer, Mark van der Wilk, Tycho F.A. van der Ouderaa

arxiv:2310.06131 v1 · 2023-10-09 · cs.LG · cs.AI · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UMNNFAAMPNGG6IPVL4D7MRQ2SH}

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

laplax -- Laplace Approximations with JAX

Receipt and verification

First computed	2026-07-05T06:59:05.978220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a31ad2800c7b4c6f21f55f07f6461a91d7f02fefbc419259f897bdaa21b88cd6

Aliases

arxiv: 2310.06131 · arxiv_version: 2310.06131v1 · doi: 10.48550/arxiv.2310.06131 · pith_short_12: UMNNFAAMPNGG · pith_short_16: UMNNFAAMPNGG6IPV · pith_short_8: UMNNFAAM

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/UMNNFAAMPNGG6IPVL4D7MRQ2SH \
  | 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: a31ad2800c7b4c6f21f55f07f6461a91d7f02fefbc419259f897bdaa21b88cd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82c9ed05c5dca6dc21c632622c6db9cf3dd076f9425e6591d26eeb47623363a5",
    "cross_cats_sorted": [
      "cs.AI",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-10-09T20:22:43Z",
    "title_canon_sha256": "9887f86609b117ea731729ba1ac1cc78180266d513087faea9ee43997abfaa72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.06131",
    "kind": "arxiv",
    "version": 1
  }
}