{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:FSRBHU7BAPBQJV2DFZYNTTY5CD","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":"83656ef08895611bb78273ae36231a7781e518f707f7b09e27756e3cf91b14cd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-05-26T17:19:40Z","title_canon_sha256":"0d41bda0efb26f4a80f70b87010e388fb28b0b8e5d6b2185031603d5fc3b41bb"},"schema_version":"1.0","source":{"id":"1405.6649","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.6649","created_at":"2026-05-18T01:43:06Z"},{"alias_kind":"arxiv_version","alias_value":"1405.6649v1","created_at":"2026-05-18T01:43:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.6649","created_at":"2026-05-18T01:43:06Z"},{"alias_kind":"pith_short_12","alias_value":"FSRBHU7BAPBQ","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"FSRBHU7BAPBQJV2D","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"FSRBHU7B","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:b72649bc4259c2a335340c9e032433c810be09c83a1962625c31835bfb54ed15","target":"graph","created_at":"2026-05-18T01:43:06Z","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 rewrite the Klein-Gordon (KG) equation for a complex scalar field as a new Gross-Pitaevskii (GP)-like equation. The potential of the scalar field is a mexican-hat potential and the field is in a thermal bath with one loop contribution. We interpret the new GP equation as a finite temperature generalization of the GP equation for a charged field. We find its hydrodynamic version as well and using it, we derive the corresponding thermodynamics. We also obtain a generalized first law for a charged Bose-Einstein Condensate (BEC).","authors_text":"Mario A. Rodr\\'iguez-Meza, T. Matos","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-05-26T17:19:40Z","title":"Study of symmetry breaking of charged scalar field: Hydrodynamic version"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.6649","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":"sha256:80e75190ca5a8232333e52291ceae74422e0f87d8a8c6f29157ac83db082964b","target":"record","created_at":"2026-05-18T01:43:06Z","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":"83656ef08895611bb78273ae36231a7781e518f707f7b09e27756e3cf91b14cd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-05-26T17:19:40Z","title_canon_sha256":"0d41bda0efb26f4a80f70b87010e388fb28b0b8e5d6b2185031603d5fc3b41bb"},"schema_version":"1.0","source":{"id":"1405.6649","kind":"arxiv","version":1}},"canonical_sha256":"2ca213d3e103c304d7432e70d9cf1d10ed945af6a471317f5d0554cf9d8e61a2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2ca213d3e103c304d7432e70d9cf1d10ed945af6a471317f5d0554cf9d8e61a2","first_computed_at":"2026-05-18T01:43:06.248191Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:43:06.248191Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FHnSAjSn6SWou4CZIKL+Z6SYFzhqo4e4PpLQV19bmfYCOwL1wf4dKWOtDUdImCW/RypgEv1oaRrrNOY2K9wvCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:43:06.248723Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.6649","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:80e75190ca5a8232333e52291ceae74422e0f87d8a8c6f29157ac83db082964b","sha256:b72649bc4259c2a335340c9e032433c810be09c83a1962625c31835bfb54ed15"],"state_sha256":"89f87804cbe1f530bc79dac05f3854ad3cf4be984e36b7302a27ef69013a8568"}