{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:SL4MBU27L2I36XKAMXSEQGXS4E","short_pith_number":"pith:SL4MBU27","canonical_record":{"source":{"id":"1008.2326","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-08-13T14:18:53Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"5d1cc10fc8215a517b02c16af9ec75abcc1f0fe595a5b41bb809ec719381129e","abstract_canon_sha256":"6325a9bc4284c3bd6578185b3950df4940056ca573226c9445ce6ee667c35c3a"},"schema_version":"1.0"},"canonical_sha256":"92f8c0d35f5e91bf5d4065e4481af2e13654e3f3e462efc5c4695474d7fcfc60","source":{"kind":"arxiv","id":"1008.2326","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.2326","created_at":"2026-05-18T04:32:01Z"},{"alias_kind":"arxiv_version","alias_value":"1008.2326v2","created_at":"2026-05-18T04:32:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.2326","created_at":"2026-05-18T04:32:01Z"},{"alias_kind":"pith_short_12","alias_value":"SL4MBU27L2I3","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"SL4MBU27L2I36XKA","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"SL4MBU27","created_at":"2026-05-18T12:26:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:SL4MBU27L2I36XKAMXSEQGXS4E","target":"record","payload":{"canonical_record":{"source":{"id":"1008.2326","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-08-13T14:18:53Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"5d1cc10fc8215a517b02c16af9ec75abcc1f0fe595a5b41bb809ec719381129e","abstract_canon_sha256":"6325a9bc4284c3bd6578185b3950df4940056ca573226c9445ce6ee667c35c3a"},"schema_version":"1.0"},"canonical_sha256":"92f8c0d35f5e91bf5d4065e4481af2e13654e3f3e462efc5c4695474d7fcfc60","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:32:01.603934Z","signature_b64":"RXs/uP6cEZ+OHIogP8U+S4hDDfrsLbA5U88cQUiXLkegFVeGWezS65ccQCX4uhGSLiGHSmaTwDsXR6XFiSq3BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"92f8c0d35f5e91bf5d4065e4481af2e13654e3f3e462efc5c4695474d7fcfc60","last_reissued_at":"2026-05-18T04:32:01.603371Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:32:01.603371Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.2326","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":"2026-05-18T04:32:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1jEluXn19mGHPkSeV+uQnoa1lpH/2ZE6x/nGusjMX/HMhppYefURajlv6FfNdo/bEmm4BAj6YjvoBBzCl5wzCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T19:58:31.288371Z"},"content_sha256":"38cb9f238d75a495eb9f904bf16358985d7c0256aeab1ffef5fb858de5b8b2e0","schema_version":"1.0","event_id":"sha256:38cb9f238d75a495eb9f904bf16358985d7c0256aeab1ffef5fb858de5b8b2e0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:SL4MBU27L2I36XKAMXSEQGXS4E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum zigzag transition in ion chains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Efrat Shimshoni, Giovanna Morigi, Shmuel Fishman","submitted_at":"2010-08-13T14:18:53Z","abstract_excerpt":"A string of trapped ions at zero temperature exhibits a structural phase transition to a zigzag structure, tuned by reducing the transverse trap potential or the interparticle distance. The transition is driven by transverse, short wavelength vibrational modes. We argue that this is a quantum phase transition, which can be experimentally realized and probed. Indeed, by means of a mapping to the Ising model in a transverse field, we estimate the quantum critical point in terms of the system parameters, and find a finite, measurable deviation from the critical point predicted by the classical th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.2326","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":"2026-05-18T04:32:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8a/4It1FIaIpWdDSP+mfiFFWlZqKs4uT3G9Bd7IiIXk0wk2oS5eslrUj0sWqZU5z80sjjZMKZw+/MdfEDM3pDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T19:58:31.289062Z"},"content_sha256":"73bc27f0afd5be325b3238a98264f2c7cd2f1f97e5879c8d897f3fb46d3b86b3","schema_version":"1.0","event_id":"sha256:73bc27f0afd5be325b3238a98264f2c7cd2f1f97e5879c8d897f3fb46d3b86b3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SL4MBU27L2I36XKAMXSEQGXS4E/bundle.json","state_url":"https://pith.science/pith/SL4MBU27L2I36XKAMXSEQGXS4E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SL4MBU27L2I36XKAMXSEQGXS4E/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":"2026-05-23T19:58:31Z","links":{"resolver":"https://pith.science/pith/SL4MBU27L2I36XKAMXSEQGXS4E","bundle":"https://pith.science/pith/SL4MBU27L2I36XKAMXSEQGXS4E/bundle.json","state":"https://pith.science/pith/SL4MBU27L2I36XKAMXSEQGXS4E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SL4MBU27L2I36XKAMXSEQGXS4E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:SL4MBU27L2I36XKAMXSEQGXS4E","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":"6325a9bc4284c3bd6578185b3950df4940056ca573226c9445ce6ee667c35c3a","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-08-13T14:18:53Z","title_canon_sha256":"5d1cc10fc8215a517b02c16af9ec75abcc1f0fe595a5b41bb809ec719381129e"},"schema_version":"1.0","source":{"id":"1008.2326","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.2326","created_at":"2026-05-18T04:32:01Z"},{"alias_kind":"arxiv_version","alias_value":"1008.2326v2","created_at":"2026-05-18T04:32:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.2326","created_at":"2026-05-18T04:32:01Z"},{"alias_kind":"pith_short_12","alias_value":"SL4MBU27L2I3","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"SL4MBU27L2I36XKA","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"SL4MBU27","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:73bc27f0afd5be325b3238a98264f2c7cd2f1f97e5879c8d897f3fb46d3b86b3","target":"graph","created_at":"2026-05-18T04:32:01Z","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":"A string of trapped ions at zero temperature exhibits a structural phase transition to a zigzag structure, tuned by reducing the transverse trap potential or the interparticle distance. The transition is driven by transverse, short wavelength vibrational modes. We argue that this is a quantum phase transition, which can be experimentally realized and probed. Indeed, by means of a mapping to the Ising model in a transverse field, we estimate the quantum critical point in terms of the system parameters, and find a finite, measurable deviation from the critical point predicted by the classical th","authors_text":"Efrat Shimshoni, Giovanna Morigi, Shmuel Fishman","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-08-13T14:18:53Z","title":"Quantum zigzag transition in ion chains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.2326","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":"sha256:38cb9f238d75a495eb9f904bf16358985d7c0256aeab1ffef5fb858de5b8b2e0","target":"record","created_at":"2026-05-18T04:32:01Z","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":"6325a9bc4284c3bd6578185b3950df4940056ca573226c9445ce6ee667c35c3a","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-08-13T14:18:53Z","title_canon_sha256":"5d1cc10fc8215a517b02c16af9ec75abcc1f0fe595a5b41bb809ec719381129e"},"schema_version":"1.0","source":{"id":"1008.2326","kind":"arxiv","version":2}},"canonical_sha256":"92f8c0d35f5e91bf5d4065e4481af2e13654e3f3e462efc5c4695474d7fcfc60","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"92f8c0d35f5e91bf5d4065e4481af2e13654e3f3e462efc5c4695474d7fcfc60","first_computed_at":"2026-05-18T04:32:01.603371Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:32:01.603371Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RXs/uP6cEZ+OHIogP8U+S4hDDfrsLbA5U88cQUiXLkegFVeGWezS65ccQCX4uhGSLiGHSmaTwDsXR6XFiSq3BA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:32:01.603934Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.2326","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:38cb9f238d75a495eb9f904bf16358985d7c0256aeab1ffef5fb858de5b8b2e0","sha256:73bc27f0afd5be325b3238a98264f2c7cd2f1f97e5879c8d897f3fb46d3b86b3"],"state_sha256":"46bd13cdfe0e5bb55a49695a584f00cf2418957d531c7a8a80366c818d1d40d9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2tSlQFMBQJzBjwwJbLjAVe/E+OfOgeEzycupFZ+SbDBt0WxIv5dr4obepKPScCl0LJpBu1o5fpSyIkRmhgtvCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T19:58:31.295685Z","bundle_sha256":"7f72273e9c6323227236dcd29421067671fda8c0a760c50b1beba00d2d731bfc"}}