{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:DUYKP4ESOSWL3K6PF4H2D5LCB3","short_pith_number":"pith:DUYKP4ES","canonical_record":{"source":{"id":"1506.07031","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2015-06-23T14:39:21Z","cross_cats_sorted":["cs.LO"],"title_canon_sha256":"955849c4812734a35746a0851e4f4b64be749dfceb2911c73fd027ce39ed55bd","abstract_canon_sha256":"3c2653ed87bbbd05bb90c1f6afc01752e7f722fe26f9191d4cf8ce54d1ad4c79"},"schema_version":"1.0"},"canonical_sha256":"1d30a7f09274acbdabcf2f0fa1f5620ec09c14172fe6204ae661878d6beddddf","source":{"kind":"arxiv","id":"1506.07031","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.07031","created_at":"2026-05-18T01:40:55Z"},{"alias_kind":"arxiv_version","alias_value":"1506.07031v1","created_at":"2026-05-18T01:40:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.07031","created_at":"2026-05-18T01:40:55Z"},{"alias_kind":"pith_short_12","alias_value":"DUYKP4ESOSWL","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DUYKP4ESOSWL3K6P","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DUYKP4ES","created_at":"2026-05-18T12:29:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:DUYKP4ESOSWL3K6PF4H2D5LCB3","target":"record","payload":{"canonical_record":{"source":{"id":"1506.07031","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2015-06-23T14:39:21Z","cross_cats_sorted":["cs.LO"],"title_canon_sha256":"955849c4812734a35746a0851e4f4b64be749dfceb2911c73fd027ce39ed55bd","abstract_canon_sha256":"3c2653ed87bbbd05bb90c1f6afc01752e7f722fe26f9191d4cf8ce54d1ad4c79"},"schema_version":"1.0"},"canonical_sha256":"1d30a7f09274acbdabcf2f0fa1f5620ec09c14172fe6204ae661878d6beddddf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:40:55.268387Z","signature_b64":"AZ+GJZsRhdXXavrRtxOIQBGenwvDn0ksrJPJT6K40zr/9mvU6YsMVWQ0X72eYwAqpLak1WFU7Abe0KJ2TZGWAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1d30a7f09274acbdabcf2f0fa1f5620ec09c14172fe6204ae661878d6beddddf","last_reissued_at":"2026-05-18T01:40:55.267799Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:40:55.267799Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.07031","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":"2026-05-18T01:40:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ch/D5GxtM9V5XbV4IrLGim3yfNqEA1DN36z2A9B7fAPB1cJ88Qfd/4Fa34WDNq+R/xCCyhGVcRQfv9Y804PUBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T17:16:37.485358Z"},"content_sha256":"c0990ab445482433d6eff60528c439b4d2a8b0e843da8dde17706dce168444c5","schema_version":"1.0","event_id":"sha256:c0990ab445482433d6eff60528c439b4d2a8b0e843da8dde17706dce168444c5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:DUYKP4ESOSWL3K6PF4H2D5LCB3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Weighted Automata and Logics for Infinite Nested Words","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LO"],"primary_cat":"cs.FL","authors_text":"Manfred Droste, Stefan D\\\"uck","submitted_at":"2015-06-23T14:39:21Z","abstract_excerpt":"Nested words introduced by Alur and Madhusudan are used to capture structures with both linear and hierarchical order, e.g. XML documents, without losing valuable closure properties. Furthermore, Alur and Madhusudan introduced automata and equivalent logics for both finite and infinite nested words, thus extending B\\\"uchi's theorem to nested words. Recently, average and discounted computations of weights in quantitative systems found much interest. Here, we will introduce and investigate weighted automata models and weighted MSO logics for infinite nested words. As weight structures we conside"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.07031","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":"2026-05-18T01:40:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CCVLLWXZoswM5jd3aO2cUUcay53VZn9LvwfYgrqOnXWlDfh9tT6CSxTSFTCBSQwvzlfGtVTD6F4gfLF+wYgLAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T17:16:37.485890Z"},"content_sha256":"bc28250bc06a4eee127d0ebd0cb467bc2498e05365711b3774e61a9821d56daa","schema_version":"1.0","event_id":"sha256:bc28250bc06a4eee127d0ebd0cb467bc2498e05365711b3774e61a9821d56daa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DUYKP4ESOSWL3K6PF4H2D5LCB3/bundle.json","state_url":"https://pith.science/pith/DUYKP4ESOSWL3K6PF4H2D5LCB3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DUYKP4ESOSWL3K6PF4H2D5LCB3/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":"2026-05-31T17:16:37Z","links":{"resolver":"https://pith.science/pith/DUYKP4ESOSWL3K6PF4H2D5LCB3","bundle":"https://pith.science/pith/DUYKP4ESOSWL3K6PF4H2D5LCB3/bundle.json","state":"https://pith.science/pith/DUYKP4ESOSWL3K6PF4H2D5LCB3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DUYKP4ESOSWL3K6PF4H2D5LCB3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:DUYKP4ESOSWL3K6PF4H2D5LCB3","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":"3c2653ed87bbbd05bb90c1f6afc01752e7f722fe26f9191d4cf8ce54d1ad4c79","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2015-06-23T14:39:21Z","title_canon_sha256":"955849c4812734a35746a0851e4f4b64be749dfceb2911c73fd027ce39ed55bd"},"schema_version":"1.0","source":{"id":"1506.07031","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.07031","created_at":"2026-05-18T01:40:55Z"},{"alias_kind":"arxiv_version","alias_value":"1506.07031v1","created_at":"2026-05-18T01:40:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.07031","created_at":"2026-05-18T01:40:55Z"},{"alias_kind":"pith_short_12","alias_value":"DUYKP4ESOSWL","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DUYKP4ESOSWL3K6P","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DUYKP4ES","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:bc28250bc06a4eee127d0ebd0cb467bc2498e05365711b3774e61a9821d56daa","target":"graph","created_at":"2026-05-18T01:40:55Z","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":"Nested words introduced by Alur and Madhusudan are used to capture structures with both linear and hierarchical order, e.g. XML documents, without losing valuable closure properties. Furthermore, Alur and Madhusudan introduced automata and equivalent logics for both finite and infinite nested words, thus extending B\\\"uchi's theorem to nested words. Recently, average and discounted computations of weights in quantitative systems found much interest. Here, we will introduce and investigate weighted automata models and weighted MSO logics for infinite nested words. As weight structures we conside","authors_text":"Manfred Droste, Stefan D\\\"uck","cross_cats":["cs.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2015-06-23T14:39:21Z","title":"Weighted Automata and Logics for Infinite Nested Words"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.07031","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:c0990ab445482433d6eff60528c439b4d2a8b0e843da8dde17706dce168444c5","target":"record","created_at":"2026-05-18T01:40:55Z","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":"3c2653ed87bbbd05bb90c1f6afc01752e7f722fe26f9191d4cf8ce54d1ad4c79","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2015-06-23T14:39:21Z","title_canon_sha256":"955849c4812734a35746a0851e4f4b64be749dfceb2911c73fd027ce39ed55bd"},"schema_version":"1.0","source":{"id":"1506.07031","kind":"arxiv","version":1}},"canonical_sha256":"1d30a7f09274acbdabcf2f0fa1f5620ec09c14172fe6204ae661878d6beddddf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d30a7f09274acbdabcf2f0fa1f5620ec09c14172fe6204ae661878d6beddddf","first_computed_at":"2026-05-18T01:40:55.267799Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:40:55.267799Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AZ+GJZsRhdXXavrRtxOIQBGenwvDn0ksrJPJT6K40zr/9mvU6YsMVWQ0X72eYwAqpLak1WFU7Abe0KJ2TZGWAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:40:55.268387Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.07031","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c0990ab445482433d6eff60528c439b4d2a8b0e843da8dde17706dce168444c5","sha256:bc28250bc06a4eee127d0ebd0cb467bc2498e05365711b3774e61a9821d56daa"],"state_sha256":"a85f2ee6e63ebe1c928264d98af7a955ec61d8b448a293d523ec829c802b2e52"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wFmUx7vEnXE+GrkV4B7I5TF2Mv7QnWliWwQrsixEQLcdnjj/UpKnNK2EoUXGuKEyUBiEWDagGv8OKooG4rA2Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T17:16:37.489673Z","bundle_sha256":"3ef48ba0b3300955aefe6f07ac18bf7e74c8f51f85493494026ee80eafd834da"}}