{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:GOGH5RNR3C2LBMRUJ2T7TITOX3","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":"af109eca174fbd81dfef0e39b22e959382672d57055576e5e3d2fe0229e56262","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2010-10-11T01:46:26Z","title_canon_sha256":"17c9593549d4c21126903d4c1a8f834234539d2a426ea38f193d8f2df6d9ae9f"},"schema_version":"1.0","source":{"id":"1010.1986","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.1986","created_at":"2026-05-18T04:28:09Z"},{"alias_kind":"arxiv_version","alias_value":"1010.1986v1","created_at":"2026-05-18T04:28:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.1986","created_at":"2026-05-18T04:28:09Z"},{"alias_kind":"pith_short_12","alias_value":"GOGH5RNR3C2L","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"GOGH5RNR3C2LBMRU","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"GOGH5RNR","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:bd5fc4b07e88ea0f021deab979bba64c86593287ae599bc269d6ee519001d527","target":"graph","created_at":"2026-05-18T04:28:09Z","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 collective excitations in spin-one color superconductors. We classify the Nambu--Goldstone modes by the pattern of spontaneous symmetry breaking, and then use the Ginzburg--Landau theory to derive their dispersion relations. These soft modes play an important role for the low-energy dynamics of the system such as the transport phenomena and hence are relevant for late-stage evolution of neutron stars. In the case of the color-spin-locking phase, we use a functional technique to obtain the low-energy effective action for the physical Nambu--Goldstone bosons that survive after","authors_text":"Jin-yi Pang, Qun Wang, Tomas Brauner","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2010-10-11T01:46:26Z","title":"Spin-one color superconductors: collective modes and effective Lagrangian"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.1986","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":"sha256:2f2d5e80fc9d604814574051b7e97ad95ddb80fa71e70bd68077fa6927956725","target":"record","created_at":"2026-05-18T04:28:09Z","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":"af109eca174fbd81dfef0e39b22e959382672d57055576e5e3d2fe0229e56262","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2010-10-11T01:46:26Z","title_canon_sha256":"17c9593549d4c21126903d4c1a8f834234539d2a426ea38f193d8f2df6d9ae9f"},"schema_version":"1.0","source":{"id":"1010.1986","kind":"arxiv","version":1}},"canonical_sha256":"338c7ec5b1d8b4b0b2344ea7f9a26ebed2ba369fef1c3d3946044fe320f095ed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"338c7ec5b1d8b4b0b2344ea7f9a26ebed2ba369fef1c3d3946044fe320f095ed","first_computed_at":"2026-05-18T04:28:09.544093Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:28:09.544093Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5kfFfD4LKbXRqS/05pt1HRCPBjSN13KBy8R9H4BvqLhm0dkyCxTLNffxgAHEjdU88i3TEMpYcSe2P9Fehm/HCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:28:09.544701Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.1986","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2f2d5e80fc9d604814574051b7e97ad95ddb80fa71e70bd68077fa6927956725","sha256:bd5fc4b07e88ea0f021deab979bba64c86593287ae599bc269d6ee519001d527"],"state_sha256":"c7bf9cb6e9b4290202398e49fb12c659c49208a080e853ff3d6fed4a79518c71"}