{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:ZODZO5PPLUVSZ64EF2SOYKAPHJ","short_pith_number":"pith:ZODZO5PP","canonical_record":{"source":{"id":"1807.03723","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2018-07-10T15:47:59Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"a6a309888e392e225a881dc60f768972259d991f7550afd40b7ef467cfc674d3","abstract_canon_sha256":"cd775d0dc059a813fc0104d2299a99556ead7c5cb03821def68b171823be7314"},"schema_version":"1.0"},"canonical_sha256":"cb879775ef5d2b2cfb842ea4ec280f3a76c7ddd3d78b12d547cb357527b365ab","source":{"kind":"arxiv","id":"1807.03723","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.03723","created_at":"2026-05-18T00:04:44Z"},{"alias_kind":"arxiv_version","alias_value":"1807.03723v2","created_at":"2026-05-18T00:04:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.03723","created_at":"2026-05-18T00:04:44Z"},{"alias_kind":"pith_short_12","alias_value":"ZODZO5PPLUVS","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZODZO5PPLUVSZ64E","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZODZO5PP","created_at":"2026-05-18T12:33:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:ZODZO5PPLUVSZ64EF2SOYKAPHJ","target":"record","payload":{"canonical_record":{"source":{"id":"1807.03723","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2018-07-10T15:47:59Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"a6a309888e392e225a881dc60f768972259d991f7550afd40b7ef467cfc674d3","abstract_canon_sha256":"cd775d0dc059a813fc0104d2299a99556ead7c5cb03821def68b171823be7314"},"schema_version":"1.0"},"canonical_sha256":"cb879775ef5d2b2cfb842ea4ec280f3a76c7ddd3d78b12d547cb357527b365ab","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:44.572064Z","signature_b64":"TYHtoxTb2nT7MVBUlpc+FpQw70OTuEW2o0W1Whbc5gJHNzCCJ3oDk3vrE6c5OvzZ0kqdN9i6yEOP9Jqex5QYCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cb879775ef5d2b2cfb842ea4ec280f3a76c7ddd3d78b12d547cb357527b365ab","last_reissued_at":"2026-05-18T00:04:44.571476Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:44.571476Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.03723","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:04:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zPL5nu6z7Uz+j1fpdjJsynJY9MjMCOk66lmofX5DCYUHaaoqRVIpmyvq3iXbLppDdYLU+U+Jm91Nu1BnRNYsBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T18:55:31.106930Z"},"content_sha256":"4d08f195fcccfdc2211bffd52ee36213a20f33a364074dc582c4b77f0307c268","schema_version":"1.0","event_id":"sha256:4d08f195fcccfdc2211bffd52ee36213a20f33a364074dc582c4b77f0307c268"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:ZODZO5PPLUVSZ64EF2SOYKAPHJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Understanding VAEs in Fisher-Shannon Plane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"stat.ML","authors_text":"Huangjie Zheng, Ivor W. Tsang, Jiangchao Yao, Jia Wang, Ya Zhang","submitted_at":"2018-07-10T15:47:59Z","abstract_excerpt":"In information theory, Fisher information and Shannon information (entropy) are respectively used to quantify the uncertainty associated with the distribution modeling and the uncertainty in specifying the outcome of given variables. These two quantities are complementary and are jointly applied to information behavior analysis in most cases. The uncertainty property in information asserts a fundamental trade-off between Fisher information and Shannon information, which enlightens us the relationship between the encoder and the decoder in variational auto-encoders (VAEs). In this paper, we inv"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.03723","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:04:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TOLxg3hf/7icLDDMwMynWhCWKYGc3zi81SJVEm9mqKKAlO2GdZcD7nBWRpQbclCBYoTl3Iui0u/Ry6FEvFAaAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T18:55:31.107658Z"},"content_sha256":"0c1ca81cb9934a5f9b485d07d3db4f51f11b7d676bbbad2bb6616d379e2fc35a","schema_version":"1.0","event_id":"sha256:0c1ca81cb9934a5f9b485d07d3db4f51f11b7d676bbbad2bb6616d379e2fc35a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZODZO5PPLUVSZ64EF2SOYKAPHJ/bundle.json","state_url":"https://pith.science/pith/ZODZO5PPLUVSZ64EF2SOYKAPHJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZODZO5PPLUVSZ64EF2SOYKAPHJ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-26T18:55:31Z","links":{"resolver":"https://pith.science/pith/ZODZO5PPLUVSZ64EF2SOYKAPHJ","bundle":"https://pith.science/pith/ZODZO5PPLUVSZ64EF2SOYKAPHJ/bundle.json","state":"https://pith.science/pith/ZODZO5PPLUVSZ64EF2SOYKAPHJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZODZO5PPLUVSZ64EF2SOYKAPHJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ZODZO5PPLUVSZ64EF2SOYKAPHJ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"cd775d0dc059a813fc0104d2299a99556ead7c5cb03821def68b171823be7314","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2018-07-10T15:47:59Z","title_canon_sha256":"a6a309888e392e225a881dc60f768972259d991f7550afd40b7ef467cfc674d3"},"schema_version":"1.0","source":{"id":"1807.03723","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.03723","created_at":"2026-05-18T00:04:44Z"},{"alias_kind":"arxiv_version","alias_value":"1807.03723v2","created_at":"2026-05-18T00:04:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.03723","created_at":"2026-05-18T00:04:44Z"},{"alias_kind":"pith_short_12","alias_value":"ZODZO5PPLUVS","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZODZO5PPLUVSZ64E","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZODZO5PP","created_at":"2026-05-18T12:33:07Z"}],"graph_snapshots":[{"event_id":"sha256:0c1ca81cb9934a5f9b485d07d3db4f51f11b7d676bbbad2bb6616d379e2fc35a","target":"graph","created_at":"2026-05-18T00:04:44Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In information theory, Fisher information and Shannon information (entropy) are respectively used to quantify the uncertainty associated with the distribution modeling and the uncertainty in specifying the outcome of given variables. These two quantities are complementary and are jointly applied to information behavior analysis in most cases. The uncertainty property in information asserts a fundamental trade-off between Fisher information and Shannon information, which enlightens us the relationship between the encoder and the decoder in variational auto-encoders (VAEs). In this paper, we inv","authors_text":"Huangjie Zheng, Ivor W. Tsang, Jiangchao Yao, Jia Wang, Ya Zhang","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2018-07-10T15:47:59Z","title":"Understanding VAEs in Fisher-Shannon Plane"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.03723","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:4d08f195fcccfdc2211bffd52ee36213a20f33a364074dc582c4b77f0307c268","target":"record","created_at":"2026-05-18T00:04:44Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"cd775d0dc059a813fc0104d2299a99556ead7c5cb03821def68b171823be7314","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2018-07-10T15:47:59Z","title_canon_sha256":"a6a309888e392e225a881dc60f768972259d991f7550afd40b7ef467cfc674d3"},"schema_version":"1.0","source":{"id":"1807.03723","kind":"arxiv","version":2}},"canonical_sha256":"cb879775ef5d2b2cfb842ea4ec280f3a76c7ddd3d78b12d547cb357527b365ab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cb879775ef5d2b2cfb842ea4ec280f3a76c7ddd3d78b12d547cb357527b365ab","first_computed_at":"2026-05-18T00:04:44.571476Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:44.571476Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TYHtoxTb2nT7MVBUlpc+FpQw70OTuEW2o0W1Whbc5gJHNzCCJ3oDk3vrE6c5OvzZ0kqdN9i6yEOP9Jqex5QYCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:44.572064Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.03723","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4d08f195fcccfdc2211bffd52ee36213a20f33a364074dc582c4b77f0307c268","sha256:0c1ca81cb9934a5f9b485d07d3db4f51f11b7d676bbbad2bb6616d379e2fc35a"],"state_sha256":"30f80856cce63326dfd20fba7b387667ac11cf36d66a49232da261e110f001e5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VEBH/g6X25dMVSYLsGJBmIFuQklwpuW7Gxw1UrewdsOg8ysJcCHjGVrwB11v+10r+131PR66mc2VUP1XO3xSAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T18:55:31.111216Z","bundle_sha256":"b81428fcfd57c0f058920c403f65183a35c9a079187f36a09cd1670df2ebf547"}}