{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:I5WBMZRXMZNJ2BCHVCVGYFZB6B","short_pith_number":"pith:I5WBMZRX","schema_version":"1.0","canonical_sha256":"476c166637665a9d0447a8aa6c1721f0784bac7519d212652eae69cbbcc26535","source":{"kind":"arxiv","id":"1412.4761","version":3},"attestation_state":"computed","paper":{"title":"Conserved quantities and dual turbulent cascades in Anti-de Sitter spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","nlin.CD"],"primary_cat":"gr-qc","authors_text":"Alex Buchel, Luis Lehner, Stephen R. Green, Steven L. Liebling","submitted_at":"2014-12-15T20:54:34Z","abstract_excerpt":"We consider the dynamics of a spherically symmetric massless scalar field coupled to general relativity in Anti--de Sitter spacetime in the small-amplitude limit. Within the context of our previously developed two time framework (TTF) to study the leading self-gravitating effects, we demonstrate the existence of two new conserved quantities in addition to the known total energy $E$ of the modes: The particle number $N$ and Hamiltonian $H$ of our TTF system. Simultaneous conservation of $E$ and $N$ implies that weak turbulent processes undergo dual cascades (direct cascade of $E$ and inverse ca"},"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":"1412.4761","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-12-15T20:54:34Z","cross_cats_sorted":["hep-th","nlin.CD"],"title_canon_sha256":"73836c91b7ec8e815dcb8953c14d8428e9282ad66f8add4e0a7965e8a70cdfd0","abstract_canon_sha256":"c0e443383e459930e083e737f19529f9bd48efe726e1c61618ab1ffc62242729"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:22:28.911587Z","signature_b64":"XwyFBhMjpc8QCZ4swwdwbzq0f0NOwzEVxsffp66cBhJnDliLhfpuNrW9b/A0yoUq5H4+digrar5PA45EhT83Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"476c166637665a9d0447a8aa6c1721f0784bac7519d212652eae69cbbcc26535","last_reissued_at":"2026-05-18T02:22:28.911038Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:22:28.911038Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Conserved quantities and dual turbulent cascades in Anti-de Sitter spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","nlin.CD"],"primary_cat":"gr-qc","authors_text":"Alex Buchel, Luis Lehner, Stephen R. Green, Steven L. Liebling","submitted_at":"2014-12-15T20:54:34Z","abstract_excerpt":"We consider the dynamics of a spherically symmetric massless scalar field coupled to general relativity in Anti--de Sitter spacetime in the small-amplitude limit. Within the context of our previously developed two time framework (TTF) to study the leading self-gravitating effects, we demonstrate the existence of two new conserved quantities in addition to the known total energy $E$ of the modes: The particle number $N$ and Hamiltonian $H$ of our TTF system. Simultaneous conservation of $E$ and $N$ implies that weak turbulent processes undergo dual cascades (direct cascade of $E$ and inverse ca"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.4761","kind":"arxiv","version":3},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1412.4761","created_at":"2026-05-18T02:22:28.911108+00:00"},{"alias_kind":"arxiv_version","alias_value":"1412.4761v3","created_at":"2026-05-18T02:22:28.911108+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.4761","created_at":"2026-05-18T02:22:28.911108+00:00"},{"alias_kind":"pith_short_12","alias_value":"I5WBMZRXMZNJ","created_at":"2026-05-18T12:28:33.132498+00:00"},{"alias_kind":"pith_short_16","alias_value":"I5WBMZRXMZNJ2BCH","created_at":"2026-05-18T12:28:33.132498+00:00"},{"alias_kind":"pith_short_8","alias_value":"I5WBMZRX","created_at":"2026-05-18T12:28:33.132498+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2511.03373","citing_title":"A superintegrable quantum field theory","ref_index":24,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/I5WBMZRXMZNJ2BCHVCVGYFZB6B","json":"https://pith.science/pith/I5WBMZRXMZNJ2BCHVCVGYFZB6B.json","graph_json":"https://pith.science/api/pith-number/I5WBMZRXMZNJ2BCHVCVGYFZB6B/graph.json","events_json":"https://pith.science/api/pith-number/I5WBMZRXMZNJ2BCHVCVGYFZB6B/events.json","paper":"https://pith.science/paper/I5WBMZRX"},"agent_actions":{"view_html":"https://pith.science/pith/I5WBMZRXMZNJ2BCHVCVGYFZB6B","download_json":"https://pith.science/pith/I5WBMZRXMZNJ2BCHVCVGYFZB6B.json","view_paper":"https://pith.science/paper/I5WBMZRX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1412.4761&json=true","fetch_graph":"https://pith.science/api/pith-number/I5WBMZRXMZNJ2BCHVCVGYFZB6B/graph.json","fetch_events":"https://pith.science/api/pith-number/I5WBMZRXMZNJ2BCHVCVGYFZB6B/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/I5WBMZRXMZNJ2BCHVCVGYFZB6B/action/timestamp_anchor","attest_storage":"https://pith.science/pith/I5WBMZRXMZNJ2BCHVCVGYFZB6B/action/storage_attestation","attest_author":"https://pith.science/pith/I5WBMZRXMZNJ2BCHVCVGYFZB6B/action/author_attestation","sign_citation":"https://pith.science/pith/I5WBMZRXMZNJ2BCHVCVGYFZB6B/action/citation_signature","submit_replication":"https://pith.science/pith/I5WBMZRXMZNJ2BCHVCVGYFZB6B/action/replication_record"}},"created_at":"2026-05-18T02:22:28.911108+00:00","updated_at":"2026-05-18T02:22:28.911108+00:00"}