{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:KL5O7ZOUI5AU2X5VFKGPDIFNCS","short_pith_number":"pith:KL5O7ZOU","canonical_record":{"source":{"id":"1211.5174","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-11-06T18:59:54Z","cross_cats_sorted":["astro-ph.CO","gr-qc","quant-ph"],"title_canon_sha256":"4269b94e28a62a6b7698268e3cb1de12c27b4100bfbab30f90684f1b7dc22458","abstract_canon_sha256":"0f6f88599d73be806217bf7308b72ee3c18ef67719d2f6b8706aa9c3d771ffa3"},"schema_version":"1.0"},"canonical_sha256":"52faefe5d447414d5fb52a8cf1a0ad14a03d4b041c2e15798ddcaa8553f42e63","source":{"kind":"arxiv","id":"1211.5174","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.5174","created_at":"2026-05-18T03:30:02Z"},{"alias_kind":"arxiv_version","alias_value":"1211.5174v1","created_at":"2026-05-18T03:30:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.5174","created_at":"2026-05-18T03:30:02Z"},{"alias_kind":"pith_short_12","alias_value":"KL5O7ZOUI5AU","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"KL5O7ZOUI5AU2X5V","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"KL5O7ZOU","created_at":"2026-05-18T12:27:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:KL5O7ZOUI5AU2X5VFKGPDIFNCS","target":"record","payload":{"canonical_record":{"source":{"id":"1211.5174","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-11-06T18:59:54Z","cross_cats_sorted":["astro-ph.CO","gr-qc","quant-ph"],"title_canon_sha256":"4269b94e28a62a6b7698268e3cb1de12c27b4100bfbab30f90684f1b7dc22458","abstract_canon_sha256":"0f6f88599d73be806217bf7308b72ee3c18ef67719d2f6b8706aa9c3d771ffa3"},"schema_version":"1.0"},"canonical_sha256":"52faefe5d447414d5fb52a8cf1a0ad14a03d4b041c2e15798ddcaa8553f42e63","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:30:02.295581Z","signature_b64":"QUC7SeD5gcNfJydUowXu+s6CRTI7Ubq/Gli6+3Xq8Nv3da9rOPpPT1nMdePiubnXRyRuXsC9Rah+739xrVgKBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"52faefe5d447414d5fb52a8cf1a0ad14a03d4b041c2e15798ddcaa8553f42e63","last_reissued_at":"2026-05-18T03:30:02.294820Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:30:02.294820Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.5174","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":"2026-05-18T03:30:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VFqm8Meegp40KiZk+Tbv9LvWZ/c3EIJOtktKYO2qyrCjlqFMnYA7uk9hz45E+I/IoY+GpgNaDmMSj/Q8YURdAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T03:52:22.428756Z"},"content_sha256":"3c2a9b7a163ddaca645b48670a16f78a0008f61d21630efd8f4cf1592c07c912","schema_version":"1.0","event_id":"sha256:3c2a9b7a163ddaca645b48670a16f78a0008f61d21630efd8f4cf1592c07c912"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:KL5O7ZOUI5AU2X5VFKGPDIFNCS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite temperature current densities and Bose-Einstein condensation in topologically nontrivial spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","gr-qc","quant-ph"],"primary_cat":"hep-th","authors_text":"A. A. Saharian, E. R. Bezerra de Mello","submitted_at":"2012-11-06T18:59:54Z","abstract_excerpt":"We investigate the finite temperature expectation values of the charge and current densities for a complex scalar field with nonzero chemical potential in background of a flat spacetime with spatial topology $R^{p}\\times (S^{1})^{q}$. Along compact dimensions quasiperiodicity conditions with general phases are imposed on the field. In addition, we assume the presence of a constant gauge field which, due to the nontrivial topology of background space, leads to Aharonov-Bohm-like effects on the expectation values. By using the Abel-Plana-type summation formula and zeta function techniques, two d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.5174","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":"2026-05-18T03:30:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NdDNucaqwgE3x0qOyB3KHWvHFFcn8bOjDJJ9vtR72PMayJZLtU0UuqMLLwOrAWWdaRHXP8Wz661f4Ej4+zQoDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T03:52:22.429116Z"},"content_sha256":"84445884d85a0ab9467f733eb58b83baa59e7c54e8dec4b3c7809bb676445732","schema_version":"1.0","event_id":"sha256:84445884d85a0ab9467f733eb58b83baa59e7c54e8dec4b3c7809bb676445732"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KL5O7ZOUI5AU2X5VFKGPDIFNCS/bundle.json","state_url":"https://pith.science/pith/KL5O7ZOUI5AU2X5VFKGPDIFNCS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KL5O7ZOUI5AU2X5VFKGPDIFNCS/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":"2026-06-03T03:52:22Z","links":{"resolver":"https://pith.science/pith/KL5O7ZOUI5AU2X5VFKGPDIFNCS","bundle":"https://pith.science/pith/KL5O7ZOUI5AU2X5VFKGPDIFNCS/bundle.json","state":"https://pith.science/pith/KL5O7ZOUI5AU2X5VFKGPDIFNCS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KL5O7ZOUI5AU2X5VFKGPDIFNCS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:KL5O7ZOUI5AU2X5VFKGPDIFNCS","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":"0f6f88599d73be806217bf7308b72ee3c18ef67719d2f6b8706aa9c3d771ffa3","cross_cats_sorted":["astro-ph.CO","gr-qc","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-11-06T18:59:54Z","title_canon_sha256":"4269b94e28a62a6b7698268e3cb1de12c27b4100bfbab30f90684f1b7dc22458"},"schema_version":"1.0","source":{"id":"1211.5174","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.5174","created_at":"2026-05-18T03:30:02Z"},{"alias_kind":"arxiv_version","alias_value":"1211.5174v1","created_at":"2026-05-18T03:30:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.5174","created_at":"2026-05-18T03:30:02Z"},{"alias_kind":"pith_short_12","alias_value":"KL5O7ZOUI5AU","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"KL5O7ZOUI5AU2X5V","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"KL5O7ZOU","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:84445884d85a0ab9467f733eb58b83baa59e7c54e8dec4b3c7809bb676445732","target":"graph","created_at":"2026-05-18T03:30:02Z","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":"We investigate the finite temperature expectation values of the charge and current densities for a complex scalar field with nonzero chemical potential in background of a flat spacetime with spatial topology $R^{p}\\times (S^{1})^{q}$. Along compact dimensions quasiperiodicity conditions with general phases are imposed on the field. In addition, we assume the presence of a constant gauge field which, due to the nontrivial topology of background space, leads to Aharonov-Bohm-like effects on the expectation values. By using the Abel-Plana-type summation formula and zeta function techniques, two d","authors_text":"A. A. Saharian, E. R. Bezerra de Mello","cross_cats":["astro-ph.CO","gr-qc","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-11-06T18:59:54Z","title":"Finite temperature current densities and Bose-Einstein condensation in topologically nontrivial spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.5174","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":"sha256:3c2a9b7a163ddaca645b48670a16f78a0008f61d21630efd8f4cf1592c07c912","target":"record","created_at":"2026-05-18T03:30:02Z","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":"0f6f88599d73be806217bf7308b72ee3c18ef67719d2f6b8706aa9c3d771ffa3","cross_cats_sorted":["astro-ph.CO","gr-qc","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-11-06T18:59:54Z","title_canon_sha256":"4269b94e28a62a6b7698268e3cb1de12c27b4100bfbab30f90684f1b7dc22458"},"schema_version":"1.0","source":{"id":"1211.5174","kind":"arxiv","version":1}},"canonical_sha256":"52faefe5d447414d5fb52a8cf1a0ad14a03d4b041c2e15798ddcaa8553f42e63","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"52faefe5d447414d5fb52a8cf1a0ad14a03d4b041c2e15798ddcaa8553f42e63","first_computed_at":"2026-05-18T03:30:02.294820Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:30:02.294820Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QUC7SeD5gcNfJydUowXu+s6CRTI7Ubq/Gli6+3Xq8Nv3da9rOPpPT1nMdePiubnXRyRuXsC9Rah+739xrVgKBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:30:02.295581Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.5174","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c2a9b7a163ddaca645b48670a16f78a0008f61d21630efd8f4cf1592c07c912","sha256:84445884d85a0ab9467f733eb58b83baa59e7c54e8dec4b3c7809bb676445732"],"state_sha256":"7602a2d0d8b11271de4eed2a1a606d4fbc82ce29c083087c51a8d0eb86d57fcb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nXN4at0zLF+vWjFQp5hm0LFdI8PGeH9aom2vaJ0nqn2LjO6mI2QUJTcRPtWI4RtlCyDsmneVMZDh+j28pismBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T03:52:22.431042Z","bundle_sha256":"78f54087884f44e9bf87b5aa21cee6ad10ed40c1d887fedc95c60c9c7a6bf726"}}