{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:KKKGDTFHOA6EG6XCCWJSXWVWCC","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":"8f6f0a09a18c40f1b61d714861ae7cff73feaddcef43af0f50ebcfbfddc796e2","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-07-09T05:10:25Z","title_canon_sha256":"c42a7578db59d9d08d2e5d26034c05bad49f84d1cc4783e17e0ffd065ab026a1"},"schema_version":"1.0","source":{"id":"1407.2355","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.2355","created_at":"2026-05-18T02:42:45Z"},{"alias_kind":"arxiv_version","alias_value":"1407.2355v2","created_at":"2026-05-18T02:42:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.2355","created_at":"2026-05-18T02:42:45Z"},{"alias_kind":"pith_short_12","alias_value":"KKKGDTFHOA6E","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KKKGDTFHOA6EG6XC","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KKKGDTFH","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:f0e8712364bc1aaff76248a834a980c66bfa24271081fbfaf472d1e436bd410f","target":"graph","created_at":"2026-05-18T02:42:45Z","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 consider the dynamics of the motion of a particle of mass M and spin J in AdS_3. The study reveals the presence of different dynamical sectors depending on the relative values of M, J and the AdS_3 radius R. For the subcritical M^2 R^2-J^2 >0 and supercritical M^2 R^2-J^2<0 cases, it is seen that the equations of motion give the geodesics of AdS_3. For the critical case M^2R^2=J^2 there exist extra gauge transformations which further reduce the physical degrees of freedom, and the motion corresponds to the geodesics of AdS_2. This result should be useful in the holographic interpretation of","authors_text":"Carles Batlle, Joaquim Gomis, Jorge Zanelli, Kiyoshi Kamimura","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-07-09T05:10:25Z","title":"Dynamical sectors for a spinning particle in AdS_3"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.2355","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":"sha256:038a09f7e25ec4610ce9e29791fe61e00f53a460ff75b7faf2d5d7c3946b197f","target":"record","created_at":"2026-05-18T02:42:45Z","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":"8f6f0a09a18c40f1b61d714861ae7cff73feaddcef43af0f50ebcfbfddc796e2","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-07-09T05:10:25Z","title_canon_sha256":"c42a7578db59d9d08d2e5d26034c05bad49f84d1cc4783e17e0ffd065ab026a1"},"schema_version":"1.0","source":{"id":"1407.2355","kind":"arxiv","version":2}},"canonical_sha256":"529461cca7703c437ae215932bdab610ae64337c0ecb6b5dcee146def8233ed5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"529461cca7703c437ae215932bdab610ae64337c0ecb6b5dcee146def8233ed5","first_computed_at":"2026-05-18T02:42:45.890413Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:42:45.890413Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BKBrCPRfXBLgovB9q5jFVIjWSrnyJDzbF0wPtvfveuOrVGfERXgSPPX1tyvRSezgt2x+eSM3HpXBaZFWexRTAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:42:45.890845Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.2355","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:038a09f7e25ec4610ce9e29791fe61e00f53a460ff75b7faf2d5d7c3946b197f","sha256:f0e8712364bc1aaff76248a834a980c66bfa24271081fbfaf472d1e436bd410f"],"state_sha256":"f1265d387ea0ef3be5dc24092951e98a7e68ba7ec4bad165e31b0eb1ec417aee"}