{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:RQX6K75D6WHAGNYAHS6JKY73AR","short_pith_number":"pith:RQX6K75D","canonical_record":{"source":{"id":"1509.03051","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-09-10T08:38:27Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"e3c7691c4d3a74a8b2fe72cb03938b714f75b14454f3cc538e68be1c4c67ea5f","abstract_canon_sha256":"239ab241a98ab2bd8f40deed240c8c3a83c4596c6ae01e7c78640f9495f4f5cc"},"schema_version":"1.0"},"canonical_sha256":"8c2fe57fa3f58e0337003cbc9563fb047af353d1f68d0689587e2d82667f7453","source":{"kind":"arxiv","id":"1509.03051","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.03051","created_at":"2026-05-18T01:32:59Z"},{"alias_kind":"arxiv_version","alias_value":"1509.03051v1","created_at":"2026-05-18T01:32:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.03051","created_at":"2026-05-18T01:32:59Z"},{"alias_kind":"pith_short_12","alias_value":"RQX6K75D6WHA","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"RQX6K75D6WHAGNYA","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"RQX6K75D","created_at":"2026-05-18T12:29:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:RQX6K75D6WHAGNYAHS6JKY73AR","target":"record","payload":{"canonical_record":{"source":{"id":"1509.03051","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-09-10T08:38:27Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"e3c7691c4d3a74a8b2fe72cb03938b714f75b14454f3cc538e68be1c4c67ea5f","abstract_canon_sha256":"239ab241a98ab2bd8f40deed240c8c3a83c4596c6ae01e7c78640f9495f4f5cc"},"schema_version":"1.0"},"canonical_sha256":"8c2fe57fa3f58e0337003cbc9563fb047af353d1f68d0689587e2d82667f7453","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:32:59.028983Z","signature_b64":"3ie1GLsPHpNpeGeCY4SjCSedotutSnIK/Uhmxh1BwjhnDw3NH5Oga0+U9dXRWfqJm7rIc938pPU0rY2b86beAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8c2fe57fa3f58e0337003cbc9563fb047af353d1f68d0689587e2d82667f7453","last_reissued_at":"2026-05-18T01:32:59.028378Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:32:59.028378Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.03051","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":"2026-05-18T01:32:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7gvb/C6nlDaYMbxDbVa7gy4XAx1uexO7RexACED/uOa4BfLPHBXWFB+OnYpEAvAoMnyF1qmV42Flfc4InfAhBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T16:12:45.992504Z"},"content_sha256":"d71e4eed272161f49ea3d031c368dd8c1c3ef6f0563d82b5781fc785b69fe9ff","schema_version":"1.0","event_id":"sha256:d71e4eed272161f49ea3d031c368dd8c1c3ef6f0563d82b5781fc785b69fe9ff"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:RQX6K75D6WHAGNYAHS6JKY73AR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fidelity approach to quantum phase transitions in quantum Ising model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"quant-ph","authors_text":"Bogdan Damski","submitted_at":"2015-09-10T08:38:27Z","abstract_excerpt":"Fidelity approach to quantum phase transitions uses the overlap between ground states of the system to gain some information about its quantum phases. Such an overlap is called fidelity. We illustrate how this approach works in the one dimensional quantum Ising model in the transverse field. Several closed-form analytical expressions for fidelity are discussed. An example of what insights fidelity provides into the dynamics of quantum phase transitions is carefully described. The role of fidelity in central spin systems is pointed out."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.03051","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":"2026-05-18T01:32:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YElnGlE1i080HnUQIi2ARZReNIYdoVX3QdY9wl4yKOsUeotdENY6lD+S7AHPe+PgcTfkKJpjbgvV52lE/Ap/Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T16:12:45.993388Z"},"content_sha256":"fbd1a18ca879e8cf5b74c1e1973a141a2484aad08715e719eb517d3776dffb9d","schema_version":"1.0","event_id":"sha256:fbd1a18ca879e8cf5b74c1e1973a141a2484aad08715e719eb517d3776dffb9d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RQX6K75D6WHAGNYAHS6JKY73AR/bundle.json","state_url":"https://pith.science/pith/RQX6K75D6WHAGNYAHS6JKY73AR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RQX6K75D6WHAGNYAHS6JKY73AR/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":"2026-05-31T16:12:45Z","links":{"resolver":"https://pith.science/pith/RQX6K75D6WHAGNYAHS6JKY73AR","bundle":"https://pith.science/pith/RQX6K75D6WHAGNYAHS6JKY73AR/bundle.json","state":"https://pith.science/pith/RQX6K75D6WHAGNYAHS6JKY73AR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RQX6K75D6WHAGNYAHS6JKY73AR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:RQX6K75D6WHAGNYAHS6JKY73AR","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":"239ab241a98ab2bd8f40deed240c8c3a83c4596c6ae01e7c78640f9495f4f5cc","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-09-10T08:38:27Z","title_canon_sha256":"e3c7691c4d3a74a8b2fe72cb03938b714f75b14454f3cc538e68be1c4c67ea5f"},"schema_version":"1.0","source":{"id":"1509.03051","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.03051","created_at":"2026-05-18T01:32:59Z"},{"alias_kind":"arxiv_version","alias_value":"1509.03051v1","created_at":"2026-05-18T01:32:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.03051","created_at":"2026-05-18T01:32:59Z"},{"alias_kind":"pith_short_12","alias_value":"RQX6K75D6WHA","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"RQX6K75D6WHAGNYA","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"RQX6K75D","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:fbd1a18ca879e8cf5b74c1e1973a141a2484aad08715e719eb517d3776dffb9d","target":"graph","created_at":"2026-05-18T01:32:59Z","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":"Fidelity approach to quantum phase transitions uses the overlap between ground states of the system to gain some information about its quantum phases. Such an overlap is called fidelity. We illustrate how this approach works in the one dimensional quantum Ising model in the transverse field. Several closed-form analytical expressions for fidelity are discussed. An example of what insights fidelity provides into the dynamics of quantum phase transitions is carefully described. The role of fidelity in central spin systems is pointed out.","authors_text":"Bogdan Damski","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-09-10T08:38:27Z","title":"Fidelity approach to quantum phase transitions in quantum Ising model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.03051","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:d71e4eed272161f49ea3d031c368dd8c1c3ef6f0563d82b5781fc785b69fe9ff","target":"record","created_at":"2026-05-18T01:32:59Z","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":"239ab241a98ab2bd8f40deed240c8c3a83c4596c6ae01e7c78640f9495f4f5cc","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-09-10T08:38:27Z","title_canon_sha256":"e3c7691c4d3a74a8b2fe72cb03938b714f75b14454f3cc538e68be1c4c67ea5f"},"schema_version":"1.0","source":{"id":"1509.03051","kind":"arxiv","version":1}},"canonical_sha256":"8c2fe57fa3f58e0337003cbc9563fb047af353d1f68d0689587e2d82667f7453","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8c2fe57fa3f58e0337003cbc9563fb047af353d1f68d0689587e2d82667f7453","first_computed_at":"2026-05-18T01:32:59.028378Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:32:59.028378Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3ie1GLsPHpNpeGeCY4SjCSedotutSnIK/Uhmxh1BwjhnDw3NH5Oga0+U9dXRWfqJm7rIc938pPU0rY2b86beAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:32:59.028983Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.03051","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d71e4eed272161f49ea3d031c368dd8c1c3ef6f0563d82b5781fc785b69fe9ff","sha256:fbd1a18ca879e8cf5b74c1e1973a141a2484aad08715e719eb517d3776dffb9d"],"state_sha256":"9836cf49d2a75626c98695fee49aeba41943c393b98ced4da2a8cb7305b0cf6d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fj9G7ukG+KDdhZjKA/Wx9rDOdfSI6WBRQXGwJWogPRfS3DYfEAlnTnC3n4cE5mUggaUEsxQIaEyTjiG2csPfCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T16:12:45.997096Z","bundle_sha256":"6892c93d652bccdfb7131584f79dd0306d438b0d1630802a418876cfae95c377"}}