{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:TLXY6XS3M5SHHBQBILPD6GDYWE","short_pith_number":"pith:TLXY6XS3","canonical_record":{"source":{"id":"1611.00928","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-11-03T09:28:22Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"e46a050709700e5d1e09eaf2425dc22aa53fb65543e59c8b9a4747b5b5f9b6ac","abstract_canon_sha256":"9dcc67a1f2de633b80ff03fdd0ed6f566984de4100cae34fc499fcf4ba421f98"},"schema_version":"1.0"},"canonical_sha256":"9aef8f5e5b676473860142de3f1878b133df26c32e33328263a18f520faa8c19","source":{"kind":"arxiv","id":"1611.00928","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.00928","created_at":"2026-05-18T01:00:18Z"},{"alias_kind":"arxiv_version","alias_value":"1611.00928v1","created_at":"2026-05-18T01:00:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.00928","created_at":"2026-05-18T01:00:18Z"},{"alias_kind":"pith_short_12","alias_value":"TLXY6XS3M5SH","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"TLXY6XS3M5SHHBQB","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"TLXY6XS3","created_at":"2026-05-18T12:30:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:TLXY6XS3M5SHHBQBILPD6GDYWE","target":"record","payload":{"canonical_record":{"source":{"id":"1611.00928","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-11-03T09:28:22Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"e46a050709700e5d1e09eaf2425dc22aa53fb65543e59c8b9a4747b5b5f9b6ac","abstract_canon_sha256":"9dcc67a1f2de633b80ff03fdd0ed6f566984de4100cae34fc499fcf4ba421f98"},"schema_version":"1.0"},"canonical_sha256":"9aef8f5e5b676473860142de3f1878b133df26c32e33328263a18f520faa8c19","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:00:18.214984Z","signature_b64":"Cli9jgbtruCmeBxxfcFRxc3s+CXfyrQFkSesrNlQ2MtOBeJ1sEPzHC1zV2MiEYJkk8ASa3gMbc/A759btQ87CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9aef8f5e5b676473860142de3f1878b133df26c32e33328263a18f520faa8c19","last_reissued_at":"2026-05-18T01:00:18.214341Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:00:18.214341Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.00928","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:00:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l4GYsAwsA2HZp/5+ziMCsXb13ZNDIRn+IU5eLW/u8VreUxzN9iDkPgqqtqf+m7J1QM+MEv/TyZe6SfUwjjKPCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T08:49:41.915356Z"},"content_sha256":"d2b03bd9c52484e66813b96f8304c4a4cd22a32e5c2fcc2ec48f417e41d611b1","schema_version":"1.0","event_id":"sha256:d2b03bd9c52484e66813b96f8304c4a4cd22a32e5c2fcc2ec48f417e41d611b1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:TLXY6XS3M5SHHBQBILPD6GDYWE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stability of trace theorems on the sphere","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.CA","authors_text":"Chris Jeavons, Mitsuru Sugimoto, Neal Bez, Tohru Ozawa","submitted_at":"2016-11-03T09:28:22Z","abstract_excerpt":"We prove stable versions of trace theorems on the sphere in $L^2$ with optimal constants, thus obtaining rather precise information regarding near-extremisers. We also obtain stability for the trace theorem into $L^q$ for $q > 2$, by combining a refined Hardy-Littlewood-Sobolev inequality on the sphere with a duality-stability result proved very recently by Carlen. Finally, we extend a local version of Carlen's duality theorem to establish local stability of certain Strichartz estimates for the kinetic transport equation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.00928","kind":"arxiv","version":1},"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":"2026-05-18T01:00:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mWFqJn3nm0lDBYy82/KobGcD3/ax1iJyozHY9cYxg0+wSNx1v7EtvplYQ9BhOJTNrMv/Mbl+2WdyJ6q7R71MDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T08:49:41.915980Z"},"content_sha256":"60d1302e808548a7a49c382ca79b2684671cbe8b95fb8ae7cd69788722cd1ee6","schema_version":"1.0","event_id":"sha256:60d1302e808548a7a49c382ca79b2684671cbe8b95fb8ae7cd69788722cd1ee6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TLXY6XS3M5SHHBQBILPD6GDYWE/bundle.json","state_url":"https://pith.science/pith/TLXY6XS3M5SHHBQBILPD6GDYWE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TLXY6XS3M5SHHBQBILPD6GDYWE/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":"2026-05-25T08:49:41Z","links":{"resolver":"https://pith.science/pith/TLXY6XS3M5SHHBQBILPD6GDYWE","bundle":"https://pith.science/pith/TLXY6XS3M5SHHBQBILPD6GDYWE/bundle.json","state":"https://pith.science/pith/TLXY6XS3M5SHHBQBILPD6GDYWE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TLXY6XS3M5SHHBQBILPD6GDYWE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:TLXY6XS3M5SHHBQBILPD6GDYWE","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":"9dcc67a1f2de633b80ff03fdd0ed6f566984de4100cae34fc499fcf4ba421f98","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-11-03T09:28:22Z","title_canon_sha256":"e46a050709700e5d1e09eaf2425dc22aa53fb65543e59c8b9a4747b5b5f9b6ac"},"schema_version":"1.0","source":{"id":"1611.00928","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.00928","created_at":"2026-05-18T01:00:18Z"},{"alias_kind":"arxiv_version","alias_value":"1611.00928v1","created_at":"2026-05-18T01:00:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.00928","created_at":"2026-05-18T01:00:18Z"},{"alias_kind":"pith_short_12","alias_value":"TLXY6XS3M5SH","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"TLXY6XS3M5SHHBQB","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"TLXY6XS3","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:60d1302e808548a7a49c382ca79b2684671cbe8b95fb8ae7cd69788722cd1ee6","target":"graph","created_at":"2026-05-18T01:00:18Z","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 prove stable versions of trace theorems on the sphere in $L^2$ with optimal constants, thus obtaining rather precise information regarding near-extremisers. We also obtain stability for the trace theorem into $L^q$ for $q > 2$, by combining a refined Hardy-Littlewood-Sobolev inequality on the sphere with a duality-stability result proved very recently by Carlen. Finally, we extend a local version of Carlen's duality theorem to establish local stability of certain Strichartz estimates for the kinetic transport equation.","authors_text":"Chris Jeavons, Mitsuru Sugimoto, Neal Bez, Tohru Ozawa","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-11-03T09:28:22Z","title":"Stability of trace theorems on the sphere"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.00928","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:d2b03bd9c52484e66813b96f8304c4a4cd22a32e5c2fcc2ec48f417e41d611b1","target":"record","created_at":"2026-05-18T01:00:18Z","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":"9dcc67a1f2de633b80ff03fdd0ed6f566984de4100cae34fc499fcf4ba421f98","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-11-03T09:28:22Z","title_canon_sha256":"e46a050709700e5d1e09eaf2425dc22aa53fb65543e59c8b9a4747b5b5f9b6ac"},"schema_version":"1.0","source":{"id":"1611.00928","kind":"arxiv","version":1}},"canonical_sha256":"9aef8f5e5b676473860142de3f1878b133df26c32e33328263a18f520faa8c19","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9aef8f5e5b676473860142de3f1878b133df26c32e33328263a18f520faa8c19","first_computed_at":"2026-05-18T01:00:18.214341Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:00:18.214341Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Cli9jgbtruCmeBxxfcFRxc3s+CXfyrQFkSesrNlQ2MtOBeJ1sEPzHC1zV2MiEYJkk8ASa3gMbc/A759btQ87CA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:00:18.214984Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.00928","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d2b03bd9c52484e66813b96f8304c4a4cd22a32e5c2fcc2ec48f417e41d611b1","sha256:60d1302e808548a7a49c382ca79b2684671cbe8b95fb8ae7cd69788722cd1ee6"],"state_sha256":"510f3cc9b1e8311136e380a30fbfd8d3dfb1033649f906650e390834b05d2747"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1OiI8bAE0CfdW2yu7R9AjuEsB2QuAvL3HnqcHc+ZIOgTY6v7vTVO9kFZ1C5dviN834qHKZIqvuC+jCCPNYw7Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T08:49:41.919608Z","bundle_sha256":"d258a8a1663c1a1faaa3ede38f3eb5858569154f9bccda47cac07c28b3ef1595"}}