{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:L2MVMHA2USAVK73EGHKRSETY4A","short_pith_number":"pith:L2MVMHA2","schema_version":"1.0","canonical_sha256":"5e99561c1aa481557f6431d5191278e01af1bee334928c5acafc5040a30f69b5","source":{"kind":"arxiv","id":"hep-th/0603185","version":2},"attestation_state":"computed","paper":{"title":"Asymptotic behavior and Hamiltonian analysis of anti-de Sitter gravity coupled to scalar fields","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Cristian Martinez, Jorge Zanelli, Marc Henneaux, Ricardo Troncoso","submitted_at":"2006-03-23T22:24:27Z","abstract_excerpt":"We examine anti-de Sitter gravity minimally coupled to a self-interacting scalar field in $D\\geq 4$ dimensions when the mass of the scalar field is in the range $m_{\\ast}^{2}\\leq m^{2}<m_{\\ast} ^{2}+l^{-2}$. Here, $l$ is the AdS radius, and $m_{\\ast}^{2}$ is the Breitenlohner-Freedman mass. We show that even though the scalar field generically has a slow fall-off at infinity which back reacts on the metric so as to modify its standard asymptotic behavior, one can still formulate asymptotic conditions (i) that are anti-de Sitter invariant; and (ii) that allows the construction of well-defined a"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"hep-th/0603185","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2006-03-23T22:24:27Z","cross_cats_sorted":[],"title_canon_sha256":"95f333e9e8bb8d3e5061702980a444121c2454ecde39c55b5ea6c509dd0e7730","abstract_canon_sha256":"7d5f3924db5dbcccd75c5cf4374c5740a32fc4ad5cff17c96eeef58a9df25f9c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:19:59.769155Z","signature_b64":"4iR0dDiU05N5K4pWowmr76Sehv+AeaUDVhrKwbVIUwbtyvRT1PzAoVCol3j0f1VCo9NQxKpwdh2gUYICFjYxBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5e99561c1aa481557f6431d5191278e01af1bee334928c5acafc5040a30f69b5","last_reissued_at":"2026-07-04T15:19:59.768740Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:19:59.768740Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Asymptotic behavior and Hamiltonian analysis of anti-de Sitter gravity coupled to scalar fields","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Cristian Martinez, Jorge Zanelli, Marc Henneaux, Ricardo Troncoso","submitted_at":"2006-03-23T22:24:27Z","abstract_excerpt":"We examine anti-de Sitter gravity minimally coupled to a self-interacting scalar field in $D\\geq 4$ dimensions when the mass of the scalar field is in the range $m_{\\ast}^{2}\\leq m^{2}<m_{\\ast} ^{2}+l^{-2}$. Here, $l$ is the AdS radius, and $m_{\\ast}^{2}$ is the Breitenlohner-Freedman mass. We show that even though the scalar field generically has a slow fall-off at infinity which back reacts on the metric so as to modify its standard asymptotic behavior, one can still formulate asymptotic conditions (i) that are anti-de Sitter invariant; and (ii) that allows the construction of well-defined a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0603185","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0603185/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0603185","created_at":"2026-07-04T15:19:59.768810+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0603185v2","created_at":"2026-07-04T15:19:59.768810+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0603185","created_at":"2026-07-04T15:19:59.768810+00:00"},{"alias_kind":"pith_short_12","alias_value":"L2MVMHA2USAV","created_at":"2026-07-04T15:19:59.768810+00:00"},{"alias_kind":"pith_short_16","alias_value":"L2MVMHA2USAVK73E","created_at":"2026-07-04T15:19:59.768810+00:00"},{"alias_kind":"pith_short_8","alias_value":"L2MVMHA2","created_at":"2026-07-04T15:19:59.768810+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2311.00550","citing_title":"Holographic renormalization and the variational problem for mixed boundary conditions via a solution-dependent superpotential-like function","ref_index":40,"is_internal_anchor":true},{"citing_arxiv_id":"2605.04145","citing_title":"When AdS$_3$ Grows Hair: Boson Stars, Black Holes, and Double-Trace Deformations","ref_index":30,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/L2MVMHA2USAVK73EGHKRSETY4A","json":"https://pith.science/pith/L2MVMHA2USAVK73EGHKRSETY4A.json","graph_json":"https://pith.science/api/pith-number/L2MVMHA2USAVK73EGHKRSETY4A/graph.json","events_json":"https://pith.science/api/pith-number/L2MVMHA2USAVK73EGHKRSETY4A/events.json","paper":"https://pith.science/paper/L2MVMHA2"},"agent_actions":{"view_html":"https://pith.science/pith/L2MVMHA2USAVK73EGHKRSETY4A","download_json":"https://pith.science/pith/L2MVMHA2USAVK73EGHKRSETY4A.json","view_paper":"https://pith.science/paper/L2MVMHA2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0603185&json=true","fetch_graph":"https://pith.science/api/pith-number/L2MVMHA2USAVK73EGHKRSETY4A/graph.json","fetch_events":"https://pith.science/api/pith-number/L2MVMHA2USAVK73EGHKRSETY4A/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/L2MVMHA2USAVK73EGHKRSETY4A/action/timestamp_anchor","attest_storage":"https://pith.science/pith/L2MVMHA2USAVK73EGHKRSETY4A/action/storage_attestation","attest_author":"https://pith.science/pith/L2MVMHA2USAVK73EGHKRSETY4A/action/author_attestation","sign_citation":"https://pith.science/pith/L2MVMHA2USAVK73EGHKRSETY4A/action/citation_signature","submit_replication":"https://pith.science/pith/L2MVMHA2USAVK73EGHKRSETY4A/action/replication_record"}},"created_at":"2026-07-04T15:19:59.768810+00:00","updated_at":"2026-07-04T15:19:59.768810+00:00"}