Pith Number

pith:YYM2HFKL

pith:2026:YYM2HFKLBD6VDBX6JU5JXT6GZE

not attested not anchored not stored refs pending

Hierarchical Pooling for Sheaf Neural Networks

Carlo Abate, Dionisia Naddeo, Filippo Maria Bianchi, Nicola Toschi, Pietro Li\`o

arxiv:2606.20932 v1 · 2026-06-18 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YYM2HFKLBD6VDBX6JU5JXT6GZE}

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	2026-06-23T01:12:22.448627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c619a3954b08fd5186fe4d3a9bcfc6c91d7184e44e69651bf355dfb586d109c8

Aliases

arxiv: 2606.20932 · arxiv_version: 2606.20932v1 · doi: 10.48550/arxiv.2606.20932 · pith_short_12: YYM2HFKLBD6V · pith_short_16: YYM2HFKLBD6VDBX6 · pith_short_8: YYM2HFKL

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/YYM2HFKLBD6VDBX6JU5JXT6GZE \
  | 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: c619a3954b08fd5186fe4d3a9bcfc6c91d7184e44e69651bf355dfb586d109c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1372047ab5602a726e19c8d909ecde13db81cf107342bdaa6db1e548cf06b17b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-18T20:50:27Z",
    "title_canon_sha256": "df59bb6bcd147732cf6f90aa3284cd0524339440a42528d97e7130fbe58208d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20932",
    "kind": "arxiv",
    "version": 1
  }
}