{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:IHT7SOTOV2MMCAYH7R4SVO6HXS","short_pith_number":"pith:IHT7SOTO","schema_version":"1.0","canonical_sha256":"41e7f93a6eae98c10307fc792abbc7bc8ae908113d3976ca0de5890b72d43f89","source":{"kind":"arxiv","id":"1907.11643","version":1},"attestation_state":"computed","paper":{"title":"Training products of expert capsules with mixing by dynamic routing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NE","stat.ML"],"primary_cat":"cs.LG","authors_text":"Michael Hauser","submitted_at":"2019-07-26T15:58:56Z","abstract_excerpt":"This study develops an unsupervised learning algorithm for products of expert capsules with dynamic routing. Analogous to binary-valued neurons in Restricted Boltzmann Machines, the magnitude of a squashed capsule firing takes values between zero and one, representing the probability of the capsule being on. This analogy motivates the design of an energy function for capsule networks. In order to have an efficient sampling procedure where hidden layer nodes are not connected, the energy function is made consistent with dynamic routing in the sense of the probability of a capsule firing, and in"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1907.11643","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-07-26T15:58:56Z","cross_cats_sorted":["cs.NE","stat.ML"],"title_canon_sha256":"b85b6ebd27129799e70779650223bceadc7f9c0cfa64874c70a755b72df5866d","abstract_canon_sha256":"6d9ac003db2b98a09d4f80455f4b1c4eabde387c8e8d0dd6545a95d2709f5a6b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:39:28.397774Z","signature_b64":"0SIKM1cuCyE2++cziH4WkhimDSr6wxHJJQJSmP/XkLHF6l+L3fRflPzzniAFii2fM+0k8zt79WYtttE34jasBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"41e7f93a6eae98c10307fc792abbc7bc8ae908113d3976ca0de5890b72d43f89","last_reissued_at":"2026-05-17T23:39:28.396894Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:39:28.396894Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Training products of expert capsules with mixing by dynamic routing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NE","stat.ML"],"primary_cat":"cs.LG","authors_text":"Michael Hauser","submitted_at":"2019-07-26T15:58:56Z","abstract_excerpt":"This study develops an unsupervised learning algorithm for products of expert capsules with dynamic routing. Analogous to binary-valued neurons in Restricted Boltzmann Machines, the magnitude of a squashed capsule firing takes values between zero and one, representing the probability of the capsule being on. This analogy motivates the design of an energy function for capsule networks. In order to have an efficient sampling procedure where hidden layer nodes are not connected, the energy function is made consistent with dynamic routing in the sense of the probability of a capsule firing, and in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.11643","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1907.11643","created_at":"2026-05-17T23:39:28.397032+00:00"},{"alias_kind":"arxiv_version","alias_value":"1907.11643v1","created_at":"2026-05-17T23:39:28.397032+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.11643","created_at":"2026-05-17T23:39:28.397032+00:00"},{"alias_kind":"pith_short_12","alias_value":"IHT7SOTOV2MM","created_at":"2026-05-18T12:33:18.533446+00:00"},{"alias_kind":"pith_short_16","alias_value":"IHT7SOTOV2MMCAYH","created_at":"2026-05-18T12:33:18.533446+00:00"},{"alias_kind":"pith_short_8","alias_value":"IHT7SOTO","created_at":"2026-05-18T12:33:18.533446+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IHT7SOTOV2MMCAYH7R4SVO6HXS","json":"https://pith.science/pith/IHT7SOTOV2MMCAYH7R4SVO6HXS.json","graph_json":"https://pith.science/api/pith-number/IHT7SOTOV2MMCAYH7R4SVO6HXS/graph.json","events_json":"https://pith.science/api/pith-number/IHT7SOTOV2MMCAYH7R4SVO6HXS/events.json","paper":"https://pith.science/paper/IHT7SOTO"},"agent_actions":{"view_html":"https://pith.science/pith/IHT7SOTOV2MMCAYH7R4SVO6HXS","download_json":"https://pith.science/pith/IHT7SOTOV2MMCAYH7R4SVO6HXS.json","view_paper":"https://pith.science/paper/IHT7SOTO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1907.11643&json=true","fetch_graph":"https://pith.science/api/pith-number/IHT7SOTOV2MMCAYH7R4SVO6HXS/graph.json","fetch_events":"https://pith.science/api/pith-number/IHT7SOTOV2MMCAYH7R4SVO6HXS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IHT7SOTOV2MMCAYH7R4SVO6HXS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IHT7SOTOV2MMCAYH7R4SVO6HXS/action/storage_attestation","attest_author":"https://pith.science/pith/IHT7SOTOV2MMCAYH7R4SVO6HXS/action/author_attestation","sign_citation":"https://pith.science/pith/IHT7SOTOV2MMCAYH7R4SVO6HXS/action/citation_signature","submit_replication":"https://pith.science/pith/IHT7SOTOV2MMCAYH7R4SVO6HXS/action/replication_record"}},"created_at":"2026-05-17T23:39:28.397032+00:00","updated_at":"2026-05-17T23:39:28.397032+00:00"}