{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:XRAZQFV6TUDMQXVPF7RWOFHIR4","short_pith_number":"pith:XRAZQFV6","canonical_record":{"source":{"id":"1107.3939","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-07-20T10:56:44Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"9c97bb62ba444fd01557c919499332fa4f7bb4b96a85137816ff7df750c8f994","abstract_canon_sha256":"237478aa3edcf311dd6dd9e4a197a7b3f7f7124ffaf9ce5aaca255959bb8546e"},"schema_version":"1.0"},"canonical_sha256":"bc419816be9d06c85eaf2fe36714e88f3879a56d0bb0995694013b49ce7c6794","source":{"kind":"arxiv","id":"1107.3939","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.3939","created_at":"2026-05-18T02:01:14Z"},{"alias_kind":"arxiv_version","alias_value":"1107.3939v2","created_at":"2026-05-18T02:01:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.3939","created_at":"2026-05-18T02:01:14Z"},{"alias_kind":"pith_short_12","alias_value":"XRAZQFV6TUDM","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"XRAZQFV6TUDMQXVP","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"XRAZQFV6","created_at":"2026-05-18T12:26:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:XRAZQFV6TUDMQXVPF7RWOFHIR4","target":"record","payload":{"canonical_record":{"source":{"id":"1107.3939","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-07-20T10:56:44Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"9c97bb62ba444fd01557c919499332fa4f7bb4b96a85137816ff7df750c8f994","abstract_canon_sha256":"237478aa3edcf311dd6dd9e4a197a7b3f7f7124ffaf9ce5aaca255959bb8546e"},"schema_version":"1.0"},"canonical_sha256":"bc419816be9d06c85eaf2fe36714e88f3879a56d0bb0995694013b49ce7c6794","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:14.374859Z","signature_b64":"Z0qgkppytoUECCeoUnjJFHn5ptCh8Wv1p8K3CmrSRKaGXpB8fm7/EHRjujnuM5Yyy/kTKVdh0A9LzYKlzwPeDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bc419816be9d06c85eaf2fe36714e88f3879a56d0bb0995694013b49ce7c6794","last_reissued_at":"2026-05-18T02:01:14.374370Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:14.374370Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.3939","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":"2026-05-18T02:01:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mNDlft7zo4lyaTwq2WWhcSgceXlC4WuPi+Ks06oU3oSJPElAd6s+YjCBEm+63QBeRDefkXUOkQzGdr927RlOCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T11:38:17.671368Z"},"content_sha256":"0565d901fde403e18e2ef2ec17d3e1ac2573b3e1efe8d0bed00b5c9b2142d687","schema_version":"1.0","event_id":"sha256:0565d901fde403e18e2ef2ec17d3e1ac2573b3e1efe8d0bed00b5c9b2142d687"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:XRAZQFV6TUDMQXVPF7RWOFHIR4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Transverse Ising Model: Markovian evolution of classical and quantum correlations under decoherence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"quant-ph","authors_text":"Amit Kumar Pal, Indrani Bose","submitted_at":"2011-07-20T10:56:44Z","abstract_excerpt":"The transverse Ising Model (TIM) in one dimension is the simplest model which exhibits a quantum phase transition (QPT). Quantities related to quantum information theoretic measures like entanglement, quantum discord (QD) and fidelity are known to provide signatures of QPTs. The issue is less well explored when the quantum system is subjected to decoherence due to its interaction, represented by a quantum channel, with an environment. In this paper we study the dynamics of the mutual information $I(\\rho_{AB})$, the classical correlations $C(\\rho_{AB})$ and the quantum correlations $Q(\\rho_{AB}"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.3939","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":"2026-05-18T02:01:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NC5V7r5txN3vtMBkEonU54ZsupNrpXrrhIVq/xeCUfotwPDrMcj7mSPJ8w+3mdwqNozmNy01TiLQtg6WExgdDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T11:38:17.672087Z"},"content_sha256":"c0bf7f9ef65835c0e607ec012405d4a80b3d8f88429a9ec7f8cc98deea6c12ba","schema_version":"1.0","event_id":"sha256:c0bf7f9ef65835c0e607ec012405d4a80b3d8f88429a9ec7f8cc98deea6c12ba"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XRAZQFV6TUDMQXVPF7RWOFHIR4/bundle.json","state_url":"https://pith.science/pith/XRAZQFV6TUDMQXVPF7RWOFHIR4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XRAZQFV6TUDMQXVPF7RWOFHIR4/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":"2026-05-25T11:38:17Z","links":{"resolver":"https://pith.science/pith/XRAZQFV6TUDMQXVPF7RWOFHIR4","bundle":"https://pith.science/pith/XRAZQFV6TUDMQXVPF7RWOFHIR4/bundle.json","state":"https://pith.science/pith/XRAZQFV6TUDMQXVPF7RWOFHIR4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XRAZQFV6TUDMQXVPF7RWOFHIR4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:XRAZQFV6TUDMQXVPF7RWOFHIR4","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":"237478aa3edcf311dd6dd9e4a197a7b3f7f7124ffaf9ce5aaca255959bb8546e","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-07-20T10:56:44Z","title_canon_sha256":"9c97bb62ba444fd01557c919499332fa4f7bb4b96a85137816ff7df750c8f994"},"schema_version":"1.0","source":{"id":"1107.3939","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.3939","created_at":"2026-05-18T02:01:14Z"},{"alias_kind":"arxiv_version","alias_value":"1107.3939v2","created_at":"2026-05-18T02:01:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.3939","created_at":"2026-05-18T02:01:14Z"},{"alias_kind":"pith_short_12","alias_value":"XRAZQFV6TUDM","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"XRAZQFV6TUDMQXVP","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"XRAZQFV6","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:c0bf7f9ef65835c0e607ec012405d4a80b3d8f88429a9ec7f8cc98deea6c12ba","target":"graph","created_at":"2026-05-18T02:01:14Z","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":"The transverse Ising Model (TIM) in one dimension is the simplest model which exhibits a quantum phase transition (QPT). Quantities related to quantum information theoretic measures like entanglement, quantum discord (QD) and fidelity are known to provide signatures of QPTs. The issue is less well explored when the quantum system is subjected to decoherence due to its interaction, represented by a quantum channel, with an environment. In this paper we study the dynamics of the mutual information $I(\\rho_{AB})$, the classical correlations $C(\\rho_{AB})$ and the quantum correlations $Q(\\rho_{AB}","authors_text":"Amit Kumar Pal, Indrani Bose","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-07-20T10:56:44Z","title":"Transverse Ising Model: Markovian evolution of classical and quantum correlations under decoherence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.3939","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":"sha256:0565d901fde403e18e2ef2ec17d3e1ac2573b3e1efe8d0bed00b5c9b2142d687","target":"record","created_at":"2026-05-18T02:01:14Z","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":"237478aa3edcf311dd6dd9e4a197a7b3f7f7124ffaf9ce5aaca255959bb8546e","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-07-20T10:56:44Z","title_canon_sha256":"9c97bb62ba444fd01557c919499332fa4f7bb4b96a85137816ff7df750c8f994"},"schema_version":"1.0","source":{"id":"1107.3939","kind":"arxiv","version":2}},"canonical_sha256":"bc419816be9d06c85eaf2fe36714e88f3879a56d0bb0995694013b49ce7c6794","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bc419816be9d06c85eaf2fe36714e88f3879a56d0bb0995694013b49ce7c6794","first_computed_at":"2026-05-18T02:01:14.374370Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:01:14.374370Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z0qgkppytoUECCeoUnjJFHn5ptCh8Wv1p8K3CmrSRKaGXpB8fm7/EHRjujnuM5Yyy/kTKVdh0A9LzYKlzwPeDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:01:14.374859Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.3939","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0565d901fde403e18e2ef2ec17d3e1ac2573b3e1efe8d0bed00b5c9b2142d687","sha256:c0bf7f9ef65835c0e607ec012405d4a80b3d8f88429a9ec7f8cc98deea6c12ba"],"state_sha256":"b0a23fda8d917f8b3fbbcbf17d54d0ba4ee1acfff3cb6a7756cc3861ea70edf3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dA314CXpB9lnD4pleyB5Mr5gOWZzjFh5I4guGjbY53iZzS4SlHGpWsRBiJmzv3RLstkfF8iIQS4bTzw2L5TyCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T11:38:17.675629Z","bundle_sha256":"1bd0ba03d272222e0c06e241256339047b2b4fd68f9708e5b7d7b01cae014040"}}