Pith Number

pith:I7ABHPYX

pith:2026:I7ABHPYXHEZ56ERBFC7FIZPDGF

not attested not anchored not stored refs pending

Collapsed Effective Operators for Higher-order Structures

Bj\"orn Schuller, Lennart Bastian, Maximilian Krahn, Tolga Birdal, Vikas Garg

arxiv:2606.23517 v1 · 2026-06-22 · cs.LG · 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{I7ABHPYXHEZ56ERBFC7FIZPDGF}

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	2026-06-23T03:14:22.062413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47c013bf173933df122128be5465e3317a1a0cd29d5655f90b2f20bc08a4f815

Aliases

arxiv: 2606.23517 · arxiv_version: 2606.23517v1 · doi: 10.48550/arxiv.2606.23517 · pith_short_12: I7ABHPYXHEZ5 · pith_short_16: I7ABHPYXHEZ56ERB · pith_short_8: I7ABHPYX

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/I7ABHPYXHEZ56ERBFC7FIZPDGF \
  | 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: 47c013bf173933df122128be5465e3317a1a0cd29d5655f90b2f20bc08a4f815

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74ebc9171d7ef3b2a884fca8edf3071e71e6a29855ef80c48006363fd6341ea4",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-22T16:04:42Z",
    "title_canon_sha256": "acd953ade7424d0840d3af6b18f4bc1f7f97dbd4c8f3a9d6c424eae229c0f7b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23517",
    "kind": "arxiv",
    "version": 1
  }
}