Pith Number

pith:ZYTYDO65

pith:2026:ZYTYDO65H53IJ3WWUBZC7PG3K2

not attested not anchored not stored refs pending

Density of Neural Network Classes on Compact Subsets of Topological Vector Spaces

Arash Ghorbanalizadeh, Mohammad Javad Baghbanbashi

arxiv:2605.22482 v1 · 2026-05-21 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZYTYDO65H53IJ3WWUBZC7PG3K2}

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	2026-05-22T01:04:46.906707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce2781bbdd3f7684eed6a0722fbcdb5683b16238a7249b84ea81f1f772849c89

Aliases

arxiv: 2605.22482 · arxiv_version: 2605.22482v1 · doi: 10.48550/arxiv.2605.22482 · pith_short_12: ZYTYDO65H53I · pith_short_16: ZYTYDO65H53IJ3WW · pith_short_8: ZYTYDO65

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/ZYTYDO65H53IJ3WWUBZC7PG3K2 \
  | 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: ce2781bbdd3f7684eed6a0722fbcdb5683b16238a7249b84ea81f1f772849c89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ce5dc8e6c91e10333cfb0f3ebbff832e2e2094268e2ba127c133108e9cd3e93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-05-21T13:39:44Z",
    "title_canon_sha256": "6ed6037b953c63275ed5a0cb2d191d7c467e6f954e73f814eb92f27ba244a4fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22482",
    "kind": "arxiv",
    "version": 1
  }
}