{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:ZIBONVZMJJXZJLWVDVX6MS4BUO","short_pith_number":"pith:ZIBONVZM","canonical_record":{"source":{"id":"1210.2444","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-10-09T00:14:18Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"3a88007d908ad4fae878c4e97595002e8cfaa6608b53f21b47eac2cc25d80b42","abstract_canon_sha256":"79edeff60b1ebb3aae9b0c5058bc745ac98d41c5bf4a1ad48deb555321854495"},"schema_version":"1.0"},"canonical_sha256":"ca02e6d72c4a6f94aed51d6fe64b81a3b7d5f64cc27d7f6fb5d93be2c8c042f0","source":{"kind":"arxiv","id":"1210.2444","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.2444","created_at":"2026-05-18T02:39:24Z"},{"alias_kind":"arxiv_version","alias_value":"1210.2444v2","created_at":"2026-05-18T02:39:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.2444","created_at":"2026-05-18T02:39:24Z"},{"alias_kind":"pith_short_12","alias_value":"ZIBONVZMJJXZ","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZIBONVZMJJXZJLWV","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZIBONVZM","created_at":"2026-05-18T12:27:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:ZIBONVZMJJXZJLWVDVX6MS4BUO","target":"record","payload":{"canonical_record":{"source":{"id":"1210.2444","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-10-09T00:14:18Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"3a88007d908ad4fae878c4e97595002e8cfaa6608b53f21b47eac2cc25d80b42","abstract_canon_sha256":"79edeff60b1ebb3aae9b0c5058bc745ac98d41c5bf4a1ad48deb555321854495"},"schema_version":"1.0"},"canonical_sha256":"ca02e6d72c4a6f94aed51d6fe64b81a3b7d5f64cc27d7f6fb5d93be2c8c042f0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:39:24.294355Z","signature_b64":"yjfHFJIGPCp2fM1FVJwYaU35jmFvzvAjY4YS3Vcmt6cRT3eRMXA8BZQL3raIUddNnRCr0yK45Rt3cAUcoC23Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ca02e6d72c4a6f94aed51d6fe64b81a3b7d5f64cc27d7f6fb5d93be2c8c042f0","last_reissued_at":"2026-05-18T02:39:24.294002Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:39:24.294002Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1210.2444","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":"2026-05-18T02:39:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bvbb6s3hXKUb6B2doxk/Xkjyexm0PmHWAkCs8CVgc3B86xS98ptzKyIjSEoWiO23z4/Gf7WoVTQhoWCkv2JwDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T23:21:25.049022Z"},"content_sha256":"626eeb50d473d27aef92e6be854070c4ca488f6a3b42a597852097efbf4b6966","schema_version":"1.0","event_id":"sha256:626eeb50d473d27aef92e6be854070c4ca488f6a3b42a597852097efbf4b6966"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:ZIBONVZMJJXZJLWVDVX6MS4BUO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Relativistic Bose-Einstein condensation with disorder","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"hep-th","authors_text":"E. Arias, G. Krein, G. Menezes, N. F. Svaiter","submitted_at":"2012-10-09T00:14:18Z","abstract_excerpt":"We investigate the thermodynamics of a self-interacting relativistic charged scalar field in the presence of weak disorder. We consider quenched disorder which couples linearly to the mass of the scalar field. After performing noise averages over the free energy of the system, we find that disorder increases the mean-field critical temperature for Bose-Einstein condensation at finite density. The effect of disorder on the temperature dependence of the chemical potential for a fixed charge density is investigated. Significant differences from the mean-field temperature dependence of the chemica"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.2444","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":"2026-05-18T02:39:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OzNom4f5JLL7qxYxnfEUjN2kMVTB2tQiiCeqtzKuF+8/YRivc84aUM2kGV1dzbKKmaPQnmEF1HHmwshoa/5bAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T23:21:25.049564Z"},"content_sha256":"c8433344e8439e6aa43cb97ef8cfa810fd6dd06888572dbc195d7313e3e4d808","schema_version":"1.0","event_id":"sha256:c8433344e8439e6aa43cb97ef8cfa810fd6dd06888572dbc195d7313e3e4d808"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZIBONVZMJJXZJLWVDVX6MS4BUO/bundle.json","state_url":"https://pith.science/pith/ZIBONVZMJJXZJLWVDVX6MS4BUO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZIBONVZMJJXZJLWVDVX6MS4BUO/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":"2026-05-25T23:21:25Z","links":{"resolver":"https://pith.science/pith/ZIBONVZMJJXZJLWVDVX6MS4BUO","bundle":"https://pith.science/pith/ZIBONVZMJJXZJLWVDVX6MS4BUO/bundle.json","state":"https://pith.science/pith/ZIBONVZMJJXZJLWVDVX6MS4BUO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZIBONVZMJJXZJLWVDVX6MS4BUO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ZIBONVZMJJXZJLWVDVX6MS4BUO","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":"79edeff60b1ebb3aae9b0c5058bc745ac98d41c5bf4a1ad48deb555321854495","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-10-09T00:14:18Z","title_canon_sha256":"3a88007d908ad4fae878c4e97595002e8cfaa6608b53f21b47eac2cc25d80b42"},"schema_version":"1.0","source":{"id":"1210.2444","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.2444","created_at":"2026-05-18T02:39:24Z"},{"alias_kind":"arxiv_version","alias_value":"1210.2444v2","created_at":"2026-05-18T02:39:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.2444","created_at":"2026-05-18T02:39:24Z"},{"alias_kind":"pith_short_12","alias_value":"ZIBONVZMJJXZ","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZIBONVZMJJXZJLWV","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZIBONVZM","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:c8433344e8439e6aa43cb97ef8cfa810fd6dd06888572dbc195d7313e3e4d808","target":"graph","created_at":"2026-05-18T02:39:24Z","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 thermodynamics of a self-interacting relativistic charged scalar field in the presence of weak disorder. We consider quenched disorder which couples linearly to the mass of the scalar field. After performing noise averages over the free energy of the system, we find that disorder increases the mean-field critical temperature for Bose-Einstein condensation at finite density. The effect of disorder on the temperature dependence of the chemical potential for a fixed charge density is investigated. Significant differences from the mean-field temperature dependence of the chemica","authors_text":"E. Arias, G. Krein, G. Menezes, N. F. Svaiter","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-10-09T00:14:18Z","title":"Relativistic Bose-Einstein condensation with disorder"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.2444","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":"sha256:626eeb50d473d27aef92e6be854070c4ca488f6a3b42a597852097efbf4b6966","target":"record","created_at":"2026-05-18T02:39:24Z","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":"79edeff60b1ebb3aae9b0c5058bc745ac98d41c5bf4a1ad48deb555321854495","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-10-09T00:14:18Z","title_canon_sha256":"3a88007d908ad4fae878c4e97595002e8cfaa6608b53f21b47eac2cc25d80b42"},"schema_version":"1.0","source":{"id":"1210.2444","kind":"arxiv","version":2}},"canonical_sha256":"ca02e6d72c4a6f94aed51d6fe64b81a3b7d5f64cc27d7f6fb5d93be2c8c042f0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ca02e6d72c4a6f94aed51d6fe64b81a3b7d5f64cc27d7f6fb5d93be2c8c042f0","first_computed_at":"2026-05-18T02:39:24.294002Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:39:24.294002Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yjfHFJIGPCp2fM1FVJwYaU35jmFvzvAjY4YS3Vcmt6cRT3eRMXA8BZQL3raIUddNnRCr0yK45Rt3cAUcoC23Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:39:24.294355Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.2444","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:626eeb50d473d27aef92e6be854070c4ca488f6a3b42a597852097efbf4b6966","sha256:c8433344e8439e6aa43cb97ef8cfa810fd6dd06888572dbc195d7313e3e4d808"],"state_sha256":"bac8779ec53a17702ebfe9ddaa703936470411cbd87a9ef1d6891d1d5374a064"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mxmTZwbNv1DL3yTj/8RpUwqTvjSf6lgEJD9QO3gXdV+P8WJlXmjgy/NsTRZiPK/VWJnoEdMLbICOaXyOboYTCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T23:21:25.052122Z","bundle_sha256":"c5140127a1833ce39a50db609b63c93a3c8aac5e669296929f1e1e129ce7d1b0"}}