Pith Number

pith:AUP6KPYQ

pith:2021:AUP6KPYQYP77ZBS3UYHQL5PEL7

not attested not anchored not stored refs pending

Designing Rotationally Invariant Neural Networks from PDEs and Variational Methods

Joachim Weickert, Karl Schrader, Matthias Augustin, Pascal Peter, Tobias Alt

arxiv:2108.13993 v2 · 2021-08-31 · cs.LG · cs.NA · math.AP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AUP6KPYQYP77ZBS3UYHQL5PEL7}

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	2026-07-05T04:06:16.650822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

051fe53f10c3fffc865ba60f05f5e45ff5ae1ebe8d3e97bc57dc3c371386dc6e

Aliases

arxiv: 2108.13993 · arxiv_version: 2108.13993v2 · doi: 10.48550/arxiv.2108.13993 · pith_short_12: AUP6KPYQYP77 · pith_short_16: AUP6KPYQYP77ZBS3 · pith_short_8: AUP6KPYQ

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/AUP6KPYQYP77ZBS3UYHQL5PEL7 \
  | 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: 051fe53f10c3fffc865ba60f05f5e45ff5ae1ebe8d3e97bc57dc3c371386dc6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c11864ebbad2e5c8158cd7bc5c165bbea7df4a285c2db6e707f09340e9a78018",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-08-31T17:34:40Z",
    "title_canon_sha256": "0f199e2756c4fe6a015f5bea5bcd9008c3a6a8c0c02223d9c0ca5ae260ed3656"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.13993",
    "kind": "arxiv",
    "version": 2
  }
}