Pith Number

pith:2AKXNHMW

pith:2025:2AKXNHMWXTIO4KWBZC5WFQV2J5

not attested not anchored not stored refs pending

Training Deep Morphological Neural Networks as Universal Approximators

Konstantinos Fotopoulos, Petros Maragos

arxiv:2505.09710 v4 · 2025-05-14 · 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{2AKXNHMWXTIO4KWBZC5WFQV2J5}

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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

Lattice theory and algebraic models for deep convolutional learning based on mathematical morphology

Receipt and verification

First computed	2026-08-04T01:57:33.906248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d015769d96bcd0ee2ac1c8bb62c2ba4f5f34550a3a5097614b9dd6ec4bdcb213

Aliases

arxiv: 2505.09710 · arxiv_version: 2505.09710v4 · doi: 10.48550/arxiv.2505.09710 · pith_short_12: 2AKXNHMWXTIO · pith_short_16: 2AKXNHMWXTIO4KWB · pith_short_8: 2AKXNHMW

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/2AKXNHMWXTIO4KWBZC5WFQV2J5 \
  | 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: d015769d96bcd0ee2ac1c8bb62c2ba4f5f34550a3a5097614b9dd6ec4bdcb213

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aeea7d9e58f9361b1c2f54482cf2cf29c0eed967642b5c843d20be69bbf64f19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-05-14T18:10:49Z",
    "title_canon_sha256": "86ba88430f56369093790bd499560d7ed3262df001c7e703e3a1a2d33b44c507"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.09710",
    "kind": "arxiv",
    "version": 4
  }
}