{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:PTR5PQQGOZNBQFL3HSKAIOHUXN","short_pith_number":"pith:PTR5PQQG","canonical_record":{"source":{"id":"1805.06935","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-05-17T19:13:06Z","cross_cats_sorted":["cond-mat.other","quant-ph"],"title_canon_sha256":"84134e9aa334db92918701e26831af5be1d8eacaea108c58319c9ff6904d488e","abstract_canon_sha256":"b0e34cce34d685aaa22b3c4d5a036b77e004a03b194a4da5ea5ccd0d108dd48e"},"schema_version":"1.0"},"canonical_sha256":"7ce3d7c206765a18157b3c940438f4bb6077e0eb42a04b0123c8671487d3b6d6","source":{"kind":"arxiv","id":"1805.06935","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.06935","created_at":"2026-05-18T00:07:17Z"},{"alias_kind":"arxiv_version","alias_value":"1805.06935v2","created_at":"2026-05-18T00:07:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.06935","created_at":"2026-05-18T00:07:17Z"},{"alias_kind":"pith_short_12","alias_value":"PTR5PQQGOZNB","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"PTR5PQQGOZNBQFL3","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"PTR5PQQG","created_at":"2026-05-18T12:32:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:PTR5PQQGOZNBQFL3HSKAIOHUXN","target":"record","payload":{"canonical_record":{"source":{"id":"1805.06935","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-05-17T19:13:06Z","cross_cats_sorted":["cond-mat.other","quant-ph"],"title_canon_sha256":"84134e9aa334db92918701e26831af5be1d8eacaea108c58319c9ff6904d488e","abstract_canon_sha256":"b0e34cce34d685aaa22b3c4d5a036b77e004a03b194a4da5ea5ccd0d108dd48e"},"schema_version":"1.0"},"canonical_sha256":"7ce3d7c206765a18157b3c940438f4bb6077e0eb42a04b0123c8671487d3b6d6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:07:17.560669Z","signature_b64":"hGF1kpEBuA40ishqESnyFdTWKUAE1pSjDW7YlI2BdlAN4vwWer0hjQG7X+wPobhegpXhbQasqxfOKR14SE2RCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7ce3d7c206765a18157b3c940438f4bb6077e0eb42a04b0123c8671487d3b6d6","last_reissued_at":"2026-05-18T00:07:17.560139Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:07:17.560139Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.06935","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":"2026-05-18T00:07:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MaXRDrlHeV7vf1NBAyc6EA7m+HIRb+czyEgkk/PAy4djeIc2pB0UvxvxXD/o7GSuYEaxY8rZUCJrV7YqWsK3Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T23:23:29.671765Z"},"content_sha256":"b43154a5d9500c9143010eaaffd2443382732542b0a8452850155625baccf62a","schema_version":"1.0","event_id":"sha256:b43154a5d9500c9143010eaaffd2443382732542b0a8452850155625baccf62a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:PTR5PQQGOZNBQFL3HSKAIOHUXN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sharp entanglement thresholds in the logarithmic negativity of disjoint blocks in the transverse-field Ising chain","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Daniele Trapin, Jens H. Bardarson, Markus Heyl, Soumya Bera, Younes Javanmard","submitted_at":"2018-05-17T19:13:06Z","abstract_excerpt":"Entanglement has developed into an essential concept for the characterization of phases and phase transitions in ground states of quantum many-body systems. In this work, we use the logarithmic negativity to study the spatial entanglement structure in the transverse-field Ising chain both in the ground state and at nonzero temperatures. Specifically, we investigate the entanglement between two disjoint blocks as a function of their separation, which can be viewed as the entanglement analog of a spatial correlation function. We find sharp entanglement thresholds at a critical distance beyond wh"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.06935","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":"2026-05-18T00:07:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RwZuBPHIWc712NoL1Wfl4EjAEEPXFuAVQ2Q8rnQImHAj2tpBeE1zb0jtohxOIiRXi/DbPjg9NqVuVTr+n5A4Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T23:23:29.672102Z"},"content_sha256":"fbb35e49486aec9a3f4826b0bc1a12440d66be0772e0790265c70ad2630861ac","schema_version":"1.0","event_id":"sha256:fbb35e49486aec9a3f4826b0bc1a12440d66be0772e0790265c70ad2630861ac"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PTR5PQQGOZNBQFL3HSKAIOHUXN/bundle.json","state_url":"https://pith.science/pith/PTR5PQQGOZNBQFL3HSKAIOHUXN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PTR5PQQGOZNBQFL3HSKAIOHUXN/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":"2026-06-02T23:23:29Z","links":{"resolver":"https://pith.science/pith/PTR5PQQGOZNBQFL3HSKAIOHUXN","bundle":"https://pith.science/pith/PTR5PQQGOZNBQFL3HSKAIOHUXN/bundle.json","state":"https://pith.science/pith/PTR5PQQGOZNBQFL3HSKAIOHUXN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PTR5PQQGOZNBQFL3HSKAIOHUXN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:PTR5PQQGOZNBQFL3HSKAIOHUXN","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":"b0e34cce34d685aaa22b3c4d5a036b77e004a03b194a4da5ea5ccd0d108dd48e","cross_cats_sorted":["cond-mat.other","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-05-17T19:13:06Z","title_canon_sha256":"84134e9aa334db92918701e26831af5be1d8eacaea108c58319c9ff6904d488e"},"schema_version":"1.0","source":{"id":"1805.06935","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.06935","created_at":"2026-05-18T00:07:17Z"},{"alias_kind":"arxiv_version","alias_value":"1805.06935v2","created_at":"2026-05-18T00:07:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.06935","created_at":"2026-05-18T00:07:17Z"},{"alias_kind":"pith_short_12","alias_value":"PTR5PQQGOZNB","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"PTR5PQQGOZNBQFL3","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"PTR5PQQG","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:fbb35e49486aec9a3f4826b0bc1a12440d66be0772e0790265c70ad2630861ac","target":"graph","created_at":"2026-05-18T00:07:17Z","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":"Entanglement has developed into an essential concept for the characterization of phases and phase transitions in ground states of quantum many-body systems. In this work, we use the logarithmic negativity to study the spatial entanglement structure in the transverse-field Ising chain both in the ground state and at nonzero temperatures. Specifically, we investigate the entanglement between two disjoint blocks as a function of their separation, which can be viewed as the entanglement analog of a spatial correlation function. We find sharp entanglement thresholds at a critical distance beyond wh","authors_text":"Daniele Trapin, Jens H. Bardarson, Markus Heyl, Soumya Bera, Younes Javanmard","cross_cats":["cond-mat.other","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-05-17T19:13:06Z","title":"Sharp entanglement thresholds in the logarithmic negativity of disjoint blocks in the transverse-field Ising chain"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.06935","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:b43154a5d9500c9143010eaaffd2443382732542b0a8452850155625baccf62a","target":"record","created_at":"2026-05-18T00:07:17Z","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":"b0e34cce34d685aaa22b3c4d5a036b77e004a03b194a4da5ea5ccd0d108dd48e","cross_cats_sorted":["cond-mat.other","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-05-17T19:13:06Z","title_canon_sha256":"84134e9aa334db92918701e26831af5be1d8eacaea108c58319c9ff6904d488e"},"schema_version":"1.0","source":{"id":"1805.06935","kind":"arxiv","version":2}},"canonical_sha256":"7ce3d7c206765a18157b3c940438f4bb6077e0eb42a04b0123c8671487d3b6d6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7ce3d7c206765a18157b3c940438f4bb6077e0eb42a04b0123c8671487d3b6d6","first_computed_at":"2026-05-18T00:07:17.560139Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:07:17.560139Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hGF1kpEBuA40ishqESnyFdTWKUAE1pSjDW7YlI2BdlAN4vwWer0hjQG7X+wPobhegpXhbQasqxfOKR14SE2RCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:07:17.560669Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.06935","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b43154a5d9500c9143010eaaffd2443382732542b0a8452850155625baccf62a","sha256:fbb35e49486aec9a3f4826b0bc1a12440d66be0772e0790265c70ad2630861ac"],"state_sha256":"7db584418358397b644e9f66509c15ceb3953ae0c514000eb684ce0358eae1c1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k14wkfmLHNEDKZU3Q+25z+3D4iVpMzDez30JTP4DxaEwAFCENWsnioUTUejU6WUWgCuBpdD9aSJ01k/7VH0hDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T23:23:29.674029Z","bundle_sha256":"66164df28ce2846fc981ff2f2f5ec0e61fe38f64292a1975f40e94acb71d89cd"}}