{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:XLSY3EVN75PRRCQEN3R6ASW74H","short_pith_number":"pith:XLSY3EVN","canonical_record":{"source":{"id":"1501.00998","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-01-05T21:02:40Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"e28d8f35ab76f594348b1ba780672be655bccb967dea871c40cec1dee4e5c0a8","abstract_canon_sha256":"88c60584395ab228f97627ac541385eac5e37da650baa234d20557ea6f28a2cb"},"schema_version":"1.0"},"canonical_sha256":"bae58d92adff5f188a046ee3e04adfe1e999237f0f99c575240228b5d38d5b25","source":{"kind":"arxiv","id":"1501.00998","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.00998","created_at":"2026-05-18T02:22:28Z"},{"alias_kind":"arxiv_version","alias_value":"1501.00998v2","created_at":"2026-05-18T02:22:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.00998","created_at":"2026-05-18T02:22:28Z"},{"alias_kind":"pith_short_12","alias_value":"XLSY3EVN75PR","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"XLSY3EVN75PRRCQE","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"XLSY3EVN","created_at":"2026-05-18T12:29:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:XLSY3EVN75PRRCQEN3R6ASW74H","target":"record","payload":{"canonical_record":{"source":{"id":"1501.00998","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-01-05T21:02:40Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"e28d8f35ab76f594348b1ba780672be655bccb967dea871c40cec1dee4e5c0a8","abstract_canon_sha256":"88c60584395ab228f97627ac541385eac5e37da650baa234d20557ea6f28a2cb"},"schema_version":"1.0"},"canonical_sha256":"bae58d92adff5f188a046ee3e04adfe1e999237f0f99c575240228b5d38d5b25","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:22:28.796258Z","signature_b64":"HH2SDD3U6go4ftkMaupUjKjm16YSb8n2YMAcLxTM88aA1V6JffpWZHaqeNkddwPT02n38YqUQ/ah+Cy5+aLNDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bae58d92adff5f188a046ee3e04adfe1e999237f0f99c575240228b5d38d5b25","last_reissued_at":"2026-05-18T02:22:28.795716Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:22:28.795716Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.00998","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:22:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LCgTZrFalwX3EMK5CuOQL3J6quRmBToAH1SlzG8fTjGQuYpMiYU8lvanJTI03ePLiE71Oj95STKjGAz884GZCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T00:37:29.153288Z"},"content_sha256":"fef26a74f9925e64ea16a22bfce3d86d025ceed1025f0e5f192fdb52c3ee563a","schema_version":"1.0","event_id":"sha256:fef26a74f9925e64ea16a22bfce3d86d025ceed1025f0e5f192fdb52c3ee563a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:XLSY3EVN75PRRCQEN3R6ASW74H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The missing top of AdS resonance structure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"I-Sheng Yang","submitted_at":"2015-01-05T21:02:40Z","abstract_excerpt":"We study a massless scalar field in AdS_{d+1} with a nonlinear coupling \\phi^N and not limited to spherical symmetry. The free-field-eigenstate spectrum is strongly resonant, and it is commonly believed that the nonlinear coupling leads to energy transfer between eigenstates. We prove that when $Nd$ is even, the most efficient resonant channels to transfer energy are always absent. In particular, for N=3 this means no energy transfer at all. For N=4, this effectively kills half of the channels, leading to the same set of extra conservation laws recently derived for gravitational interactions w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.00998","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:22:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QleR/O6GdPrXyiSgk+fjcfU+7PITn4d9VdzXUZRPlixawYjAHVMmnHECedoWsxGZsIv1hejyU6XWoVWxNoLiAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T00:37:29.154034Z"},"content_sha256":"558d97866f2e7e32562076b3cd954319bcd666c249ead193b180efa5323c4f42","schema_version":"1.0","event_id":"sha256:558d97866f2e7e32562076b3cd954319bcd666c249ead193b180efa5323c4f42"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XLSY3EVN75PRRCQEN3R6ASW74H/bundle.json","state_url":"https://pith.science/pith/XLSY3EVN75PRRCQEN3R6ASW74H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XLSY3EVN75PRRCQEN3R6ASW74H/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-21T00:37:29Z","links":{"resolver":"https://pith.science/pith/XLSY3EVN75PRRCQEN3R6ASW74H","bundle":"https://pith.science/pith/XLSY3EVN75PRRCQEN3R6ASW74H/bundle.json","state":"https://pith.science/pith/XLSY3EVN75PRRCQEN3R6ASW74H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XLSY3EVN75PRRCQEN3R6ASW74H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:XLSY3EVN75PRRCQEN3R6ASW74H","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":"88c60584395ab228f97627ac541385eac5e37da650baa234d20557ea6f28a2cb","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-01-05T21:02:40Z","title_canon_sha256":"e28d8f35ab76f594348b1ba780672be655bccb967dea871c40cec1dee4e5c0a8"},"schema_version":"1.0","source":{"id":"1501.00998","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.00998","created_at":"2026-05-18T02:22:28Z"},{"alias_kind":"arxiv_version","alias_value":"1501.00998v2","created_at":"2026-05-18T02:22:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.00998","created_at":"2026-05-18T02:22:28Z"},{"alias_kind":"pith_short_12","alias_value":"XLSY3EVN75PR","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"XLSY3EVN75PRRCQE","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"XLSY3EVN","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:558d97866f2e7e32562076b3cd954319bcd666c249ead193b180efa5323c4f42","target":"graph","created_at":"2026-05-18T02:22:28Z","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 study a massless scalar field in AdS_{d+1} with a nonlinear coupling \\phi^N and not limited to spherical symmetry. The free-field-eigenstate spectrum is strongly resonant, and it is commonly believed that the nonlinear coupling leads to energy transfer between eigenstates. We prove that when $Nd$ is even, the most efficient resonant channels to transfer energy are always absent. In particular, for N=3 this means no energy transfer at all. For N=4, this effectively kills half of the channels, leading to the same set of extra conservation laws recently derived for gravitational interactions w","authors_text":"I-Sheng Yang","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-01-05T21:02:40Z","title":"The missing top of AdS resonance structure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.00998","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:fef26a74f9925e64ea16a22bfce3d86d025ceed1025f0e5f192fdb52c3ee563a","target":"record","created_at":"2026-05-18T02:22:28Z","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":"88c60584395ab228f97627ac541385eac5e37da650baa234d20557ea6f28a2cb","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-01-05T21:02:40Z","title_canon_sha256":"e28d8f35ab76f594348b1ba780672be655bccb967dea871c40cec1dee4e5c0a8"},"schema_version":"1.0","source":{"id":"1501.00998","kind":"arxiv","version":2}},"canonical_sha256":"bae58d92adff5f188a046ee3e04adfe1e999237f0f99c575240228b5d38d5b25","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bae58d92adff5f188a046ee3e04adfe1e999237f0f99c575240228b5d38d5b25","first_computed_at":"2026-05-18T02:22:28.795716Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:22:28.795716Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HH2SDD3U6go4ftkMaupUjKjm16YSb8n2YMAcLxTM88aA1V6JffpWZHaqeNkddwPT02n38YqUQ/ah+Cy5+aLNDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:22:28.796258Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.00998","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fef26a74f9925e64ea16a22bfce3d86d025ceed1025f0e5f192fdb52c3ee563a","sha256:558d97866f2e7e32562076b3cd954319bcd666c249ead193b180efa5323c4f42"],"state_sha256":"486b657a83c8f4e83b0f4875d9fd27b0f3ea840c1ad9e2d13036ca0d704abee4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nyeBC2fZY24Z1q7YmK5I/eOnYadNqBn2SbW0HTZsdImq62RZNFQUqukSaEHprAzS3MAqAYJE5CHimOPP4hOWCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T00:37:29.157965Z","bundle_sha256":"717d97e11eac90b05f71ae0fd3b24c2abbdac2dca2abcd2c3627a0c73d6453c4"}}