{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:X56WTYALVYKP427N6ENOHD4T5W","short_pith_number":"pith:X56WTYAL","canonical_record":{"source":{"id":"1407.5968","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-07-22T18:44:18Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"fa2bb6c61f50cb8941143baf3cc7b0a82f91ec63ff151df8b1d16269e33ef675","abstract_canon_sha256":"4d160ea69a8e35de2143ed259ee95348b3723f4f5c697cebd8fe2cfcda590bf6"},"schema_version":"1.0"},"canonical_sha256":"bf7d69e00bae14fe6bedf11ae38f93ed945f15c7fac667ef92f2e586215f5058","source":{"kind":"arxiv","id":"1407.5968","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.5968","created_at":"2026-05-18T01:42:33Z"},{"alias_kind":"arxiv_version","alias_value":"1407.5968v1","created_at":"2026-05-18T01:42:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.5968","created_at":"2026-05-18T01:42:33Z"},{"alias_kind":"pith_short_12","alias_value":"X56WTYALVYKP","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"X56WTYALVYKP427N","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"X56WTYAL","created_at":"2026-05-18T12:28:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:X56WTYALVYKP427N6ENOHD4T5W","target":"record","payload":{"canonical_record":{"source":{"id":"1407.5968","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-07-22T18:44:18Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"fa2bb6c61f50cb8941143baf3cc7b0a82f91ec63ff151df8b1d16269e33ef675","abstract_canon_sha256":"4d160ea69a8e35de2143ed259ee95348b3723f4f5c697cebd8fe2cfcda590bf6"},"schema_version":"1.0"},"canonical_sha256":"bf7d69e00bae14fe6bedf11ae38f93ed945f15c7fac667ef92f2e586215f5058","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:42:33.011272Z","signature_b64":"6ukB1ril0wEANgzikBb8QkIraj9cQmGqSodPPz/WC8naqUQ+d9Z6YeCGs7S8OrkGGKtOPcamxM9U5PT1TlmOAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bf7d69e00bae14fe6bedf11ae38f93ed945f15c7fac667ef92f2e586215f5058","last_reissued_at":"2026-05-18T01:42:33.010848Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:42:33.010848Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.5968","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:42:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bplCfz2yVQuelwkbQAsOXeZBKqB313oQ5VtPDjXWOyh2mozJOhueSE+VMHyMsovbWhwIXJLCYYBBY9rggjEOBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T16:20:13.178100Z"},"content_sha256":"cb7eb74bd18ac734bc6c8744eb4cfd8e7c58d64293b0cd61433755f4ab4cbdc7","schema_version":"1.0","event_id":"sha256:cb7eb74bd18ac734bc6c8744eb4cfd8e7c58d64293b0cd61433755f4ab4cbdc7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:X56WTYALVYKP427N6ENOHD4T5W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Regular Gleason Measures and Generalized Effect Algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Anatolij Dvure\\v{c}enskij, Ji\\v{r}\\'i Janda","submitted_at":"2014-07-22T18:44:18Z","abstract_excerpt":"We study measures, finitely additive measures, regular measures, and $\\sigma$-additive measures that can attain even infinite values on the quantum logic of a Hilbert space. We show when particular classes of non-negative measures can be studied in the frame of generalized effect algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.5968","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:42:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0f5nxjAxBdsWUUXHVFvpa6nyREcfq85hjFy0VhvurlTcp1JYY1KAopTzvnxmUB3KlObvp5h8/FO+zgfGlHcJBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T16:20:13.178461Z"},"content_sha256":"b3cf46b1416f9d3a16c8abd6ffdc03e63882ce54f897b0ed8f69e382ec55638b","schema_version":"1.0","event_id":"sha256:b3cf46b1416f9d3a16c8abd6ffdc03e63882ce54f897b0ed8f69e382ec55638b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X56WTYALVYKP427N6ENOHD4T5W/bundle.json","state_url":"https://pith.science/pith/X56WTYALVYKP427N6ENOHD4T5W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X56WTYALVYKP427N6ENOHD4T5W/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":"2026-06-02T16:20:13Z","links":{"resolver":"https://pith.science/pith/X56WTYALVYKP427N6ENOHD4T5W","bundle":"https://pith.science/pith/X56WTYALVYKP427N6ENOHD4T5W/bundle.json","state":"https://pith.science/pith/X56WTYALVYKP427N6ENOHD4T5W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X56WTYALVYKP427N6ENOHD4T5W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:X56WTYALVYKP427N6ENOHD4T5W","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":"4d160ea69a8e35de2143ed259ee95348b3723f4f5c697cebd8fe2cfcda590bf6","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-07-22T18:44:18Z","title_canon_sha256":"fa2bb6c61f50cb8941143baf3cc7b0a82f91ec63ff151df8b1d16269e33ef675"},"schema_version":"1.0","source":{"id":"1407.5968","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.5968","created_at":"2026-05-18T01:42:33Z"},{"alias_kind":"arxiv_version","alias_value":"1407.5968v1","created_at":"2026-05-18T01:42:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.5968","created_at":"2026-05-18T01:42:33Z"},{"alias_kind":"pith_short_12","alias_value":"X56WTYALVYKP","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"X56WTYALVYKP427N","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"X56WTYAL","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:b3cf46b1416f9d3a16c8abd6ffdc03e63882ce54f897b0ed8f69e382ec55638b","target":"graph","created_at":"2026-05-18T01:42:33Z","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":"We study measures, finitely additive measures, regular measures, and $\\sigma$-additive measures that can attain even infinite values on the quantum logic of a Hilbert space. We show when particular classes of non-negative measures can be studied in the frame of generalized effect algebras.","authors_text":"Anatolij Dvure\\v{c}enskij, Ji\\v{r}\\'i Janda","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-07-22T18:44:18Z","title":"Regular Gleason Measures and Generalized Effect Algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.5968","kind":"arxiv","version":1},"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:cb7eb74bd18ac734bc6c8744eb4cfd8e7c58d64293b0cd61433755f4ab4cbdc7","target":"record","created_at":"2026-05-18T01:42:33Z","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":"4d160ea69a8e35de2143ed259ee95348b3723f4f5c697cebd8fe2cfcda590bf6","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-07-22T18:44:18Z","title_canon_sha256":"fa2bb6c61f50cb8941143baf3cc7b0a82f91ec63ff151df8b1d16269e33ef675"},"schema_version":"1.0","source":{"id":"1407.5968","kind":"arxiv","version":1}},"canonical_sha256":"bf7d69e00bae14fe6bedf11ae38f93ed945f15c7fac667ef92f2e586215f5058","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bf7d69e00bae14fe6bedf11ae38f93ed945f15c7fac667ef92f2e586215f5058","first_computed_at":"2026-05-18T01:42:33.010848Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:42:33.010848Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6ukB1ril0wEANgzikBb8QkIraj9cQmGqSodPPz/WC8naqUQ+d9Z6YeCGs7S8OrkGGKtOPcamxM9U5PT1TlmOAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:42:33.011272Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.5968","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cb7eb74bd18ac734bc6c8744eb4cfd8e7c58d64293b0cd61433755f4ab4cbdc7","sha256:b3cf46b1416f9d3a16c8abd6ffdc03e63882ce54f897b0ed8f69e382ec55638b"],"state_sha256":"ede1fa941dc2fe7939d321e6c57274c10dec6da7eb5fbd2fd76cc5eb540dd4e3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JW/BsawSEldJ/wLQX5UBMnj9ugrUkpnz9kSlfL/m7LlegnG78MDfM/Birj3hVSeUZ0MZdM+fdICij0wbvfTXDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T16:20:13.180414Z","bundle_sha256":"83f9a7f7cbd7e64d4a5f47f337d118d6e1b0a530444cebbe88a9c4ff92d82de2"}}