{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:UGQUIDO7E4LFTG3MT3BZ3EVIKI","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":"fb4ac5f07e1e52ab368ddbbcac25e75f0d41c6b05f670379b35d74f29fa5f030","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-12-29T15:19:47Z","title_canon_sha256":"efcc3cc0111b56af1b8dbc621278754f436056646bc6fb56938d9a87c44a018d"},"schema_version":"1.0","source":{"id":"2112.14775","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.14775","created_at":"2026-07-05T04:23:49Z"},{"alias_kind":"arxiv_version","alias_value":"2112.14775v1","created_at":"2026-07-05T04:23:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.14775","created_at":"2026-07-05T04:23:49Z"},{"alias_kind":"pith_short_12","alias_value":"UGQUIDO7E4LF","created_at":"2026-07-05T04:23:49Z"},{"alias_kind":"pith_short_16","alias_value":"UGQUIDO7E4LFTG3M","created_at":"2026-07-05T04:23:49Z"},{"alias_kind":"pith_short_8","alias_value":"UGQUIDO7","created_at":"2026-07-05T04:23:49Z"}],"graph_snapshots":[{"event_id":"sha256:1adffea92745fe466d6798ea34646af595b5d547136cf08d5f358d98336cdee3","target":"graph","created_at":"2026-07-05T04:23:49Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2112.14775/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Leggett Garg inequalities (LGIs) test the incompatibility between the notion of macrorealism and quantum mechanics. For unitary dynamics, the optimal quantum violation of an LGI is constrained by the L\\\"uders bound. However, the LGIs does not provide the necessary and sufficient for macrorealism. A suitably formulated set of no-signaling in time (NSIT) conditions along with the arrow-of-time (AOT) condition provides the same. In this paper, we study two formulations in the three-time LG scenario, viz., the standard LGIs and the recently formulated variant of LGIs when the system evolves under ","authors_text":"A. K. Pan, Asmita Kumari","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-12-29T15:19:47Z","title":"L\\\"uders bounds of Leggett-Garg inequalities, $\\mathcal{PT}$- symmetric evolution and arrow-of-time"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.14775","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:a25c01578e71672af446d6c1dc9a70d44297949be18981f92a4e43eb531d9902","target":"record","created_at":"2026-07-05T04:23:49Z","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":"fb4ac5f07e1e52ab368ddbbcac25e75f0d41c6b05f670379b35d74f29fa5f030","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-12-29T15:19:47Z","title_canon_sha256":"efcc3cc0111b56af1b8dbc621278754f436056646bc6fb56938d9a87c44a018d"},"schema_version":"1.0","source":{"id":"2112.14775","kind":"arxiv","version":1}},"canonical_sha256":"a1a1440ddf2716599b6c9ec39d92a85239ccf6ed2da3bfeb1ac91d56c13b7bce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a1a1440ddf2716599b6c9ec39d92a85239ccf6ed2da3bfeb1ac91d56c13b7bce","first_computed_at":"2026-07-05T04:23:49.054159Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:23:49.054159Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6GAad7qVgTy6CcCbR5Sgdiy/SIPVAxsKH0FFMudyGjUsJNL0OZBQlIM46zgInl96vHf2H55qs7Vh4Yhrg+9VDw==","signature_status":"signed_v1","signed_at":"2026-07-05T04:23:49.054718Z","signed_message":"canonical_sha256_bytes"},"source_id":"2112.14775","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a25c01578e71672af446d6c1dc9a70d44297949be18981f92a4e43eb531d9902","sha256:1adffea92745fe466d6798ea34646af595b5d547136cf08d5f358d98336cdee3"],"state_sha256":"506c46f29f692382338df864c60683ada412c4fd86c3acf8f4f36786023f97f2"}