{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:KIXZCQSRS2Z6LDBBZSMOQFB5UH","short_pith_number":"pith:KIXZCQSR","canonical_record":{"source":{"id":"1511.03966","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-11-12T16:59:40Z","cross_cats_sorted":[],"title_canon_sha256":"34728220febedd34555ed2330ad3814a8ae4c1956ce257f8da5b7c07475321a8","abstract_canon_sha256":"8e00a40419992d9fab67364a6069215c411f8e86a9c3078616e6bee4d135352f"},"schema_version":"1.0"},"canonical_sha256":"522f91425196b3e58c21cc98e8143da1c8793e612e6b8f10b96cad7b85c10a6a","source":{"kind":"arxiv","id":"1511.03966","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.03966","created_at":"2026-05-18T01:27:06Z"},{"alias_kind":"arxiv_version","alias_value":"1511.03966v1","created_at":"2026-05-18T01:27:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.03966","created_at":"2026-05-18T01:27:06Z"},{"alias_kind":"pith_short_12","alias_value":"KIXZCQSRS2Z6","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"KIXZCQSRS2Z6LDBB","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"KIXZCQSR","created_at":"2026-05-18T12:29:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:KIXZCQSRS2Z6LDBBZSMOQFB5UH","target":"record","payload":{"canonical_record":{"source":{"id":"1511.03966","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-11-12T16:59:40Z","cross_cats_sorted":[],"title_canon_sha256":"34728220febedd34555ed2330ad3814a8ae4c1956ce257f8da5b7c07475321a8","abstract_canon_sha256":"8e00a40419992d9fab67364a6069215c411f8e86a9c3078616e6bee4d135352f"},"schema_version":"1.0"},"canonical_sha256":"522f91425196b3e58c21cc98e8143da1c8793e612e6b8f10b96cad7b85c10a6a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:27:06.364753Z","signature_b64":"y5qgFxpRJeLeyxyJFGIAD5hYMs1u4iXjvGd52XHEM9V/NPgJUHmOGe37cUVKPAy2MrRUW+gUTrT803H6cnW7Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"522f91425196b3e58c21cc98e8143da1c8793e612e6b8f10b96cad7b85c10a6a","last_reissued_at":"2026-05-18T01:27:06.364072Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:27:06.364072Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1511.03966","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":"2026-05-18T01:27:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yIhdHSgjPYWWdGwIUhnwQlCFZH/WwsVvmgOySmb+b9XT5dDW403D3upXHr1WRRwIMtGjSxpEyupENZc8qqCMDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T15:55:16.440072Z"},"content_sha256":"7bafe24a40b91da769822bce5cff8845f5bb77e24fa9e6e39b753da6dd47d7ca","schema_version":"1.0","event_id":"sha256:7bafe24a40b91da769822bce5cff8845f5bb77e24fa9e6e39b753da6dd47d7ca"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:KIXZCQSRS2Z6LDBBZSMOQFB5UH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A.e. convergence and 2-weight inequalities for Poisson-Laguerre semigroups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Beatriz Viviani, Gustavo Garrigos, Silvia Hartzstein, Teresa Signes","submitted_at":"2015-11-12T16:59:40Z","abstract_excerpt":"We find optimal decay estimates for the Poisson kernels associated with various Laguerre-type operators L. From these, we solve two problems about the Poisson semigroup $e^{-t\\sqrt{L}}$. First, we find the largest space of initial data $f$ so that $e^{-t\\sqrt{L}}f(x)\\to f(x)$ at a.e. $x$. Secondly, we characterize the largest class of weights $w$ which admit 2-weight inequalities of the form $\\|\\sup_{0<t\\leq t_0}|e^{-t\\sqrt{L}}f|\\,\\|_{L^p(v)}\\lesssim \\|f\\|_{L^p(w)}$, for some other weight $v$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.03966","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":"2026-05-18T01:27:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NBuc9HD9Z4fztNgusfb5LP72biy7PXotIMjFxXv1EvZElHYGJSRivZpdDPchWmACymk9pUTu725lx6fN5l/kCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T15:55:16.440437Z"},"content_sha256":"445ed4675e2d56d1d0917650ebb1a76d0792f6bbe62547c11dfcd675c3296897","schema_version":"1.0","event_id":"sha256:445ed4675e2d56d1d0917650ebb1a76d0792f6bbe62547c11dfcd675c3296897"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KIXZCQSRS2Z6LDBBZSMOQFB5UH/bundle.json","state_url":"https://pith.science/pith/KIXZCQSRS2Z6LDBBZSMOQFB5UH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KIXZCQSRS2Z6LDBBZSMOQFB5UH/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":"2026-07-04T15:55:16Z","links":{"resolver":"https://pith.science/pith/KIXZCQSRS2Z6LDBBZSMOQFB5UH","bundle":"https://pith.science/pith/KIXZCQSRS2Z6LDBBZSMOQFB5UH/bundle.json","state":"https://pith.science/pith/KIXZCQSRS2Z6LDBBZSMOQFB5UH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KIXZCQSRS2Z6LDBBZSMOQFB5UH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:KIXZCQSRS2Z6LDBBZSMOQFB5UH","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":"8e00a40419992d9fab67364a6069215c411f8e86a9c3078616e6bee4d135352f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-11-12T16:59:40Z","title_canon_sha256":"34728220febedd34555ed2330ad3814a8ae4c1956ce257f8da5b7c07475321a8"},"schema_version":"1.0","source":{"id":"1511.03966","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.03966","created_at":"2026-05-18T01:27:06Z"},{"alias_kind":"arxiv_version","alias_value":"1511.03966v1","created_at":"2026-05-18T01:27:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.03966","created_at":"2026-05-18T01:27:06Z"},{"alias_kind":"pith_short_12","alias_value":"KIXZCQSRS2Z6","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"KIXZCQSRS2Z6LDBB","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"KIXZCQSR","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:445ed4675e2d56d1d0917650ebb1a76d0792f6bbe62547c11dfcd675c3296897","target":"graph","created_at":"2026-05-18T01:27:06Z","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 find optimal decay estimates for the Poisson kernels associated with various Laguerre-type operators L. From these, we solve two problems about the Poisson semigroup $e^{-t\\sqrt{L}}$. First, we find the largest space of initial data $f$ so that $e^{-t\\sqrt{L}}f(x)\\to f(x)$ at a.e. $x$. Secondly, we characterize the largest class of weights $w$ which admit 2-weight inequalities of the form $\\|\\sup_{0<t\\leq t_0}|e^{-t\\sqrt{L}}f|\\,\\|_{L^p(v)}\\lesssim \\|f\\|_{L^p(w)}$, for some other weight $v$.","authors_text":"Beatriz Viviani, Gustavo Garrigos, Silvia Hartzstein, Teresa Signes","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-11-12T16:59:40Z","title":"A.e. convergence and 2-weight inequalities for Poisson-Laguerre semigroups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.03966","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":"sha256:7bafe24a40b91da769822bce5cff8845f5bb77e24fa9e6e39b753da6dd47d7ca","target":"record","created_at":"2026-05-18T01:27:06Z","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":"8e00a40419992d9fab67364a6069215c411f8e86a9c3078616e6bee4d135352f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-11-12T16:59:40Z","title_canon_sha256":"34728220febedd34555ed2330ad3814a8ae4c1956ce257f8da5b7c07475321a8"},"schema_version":"1.0","source":{"id":"1511.03966","kind":"arxiv","version":1}},"canonical_sha256":"522f91425196b3e58c21cc98e8143da1c8793e612e6b8f10b96cad7b85c10a6a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"522f91425196b3e58c21cc98e8143da1c8793e612e6b8f10b96cad7b85c10a6a","first_computed_at":"2026-05-18T01:27:06.364072Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:27:06.364072Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"y5qgFxpRJeLeyxyJFGIAD5hYMs1u4iXjvGd52XHEM9V/NPgJUHmOGe37cUVKPAy2MrRUW+gUTrT803H6cnW7Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:27:06.364753Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.03966","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7bafe24a40b91da769822bce5cff8845f5bb77e24fa9e6e39b753da6dd47d7ca","sha256:445ed4675e2d56d1d0917650ebb1a76d0792f6bbe62547c11dfcd675c3296897"],"state_sha256":"390eb994fdbfa34a00bee83ac6e6266b370e58f57d0f65cb66c185f834a09c3a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"joC6mS6WGPjqgq+whQOOM0FMpF5KKwiSxUnP7OK0J3W+UHryHVydZChXJbBF0OQwmRk5P2NIBPPxl77pF4pmBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T15:55:16.442689Z","bundle_sha256":"6ebb856280d481045c9b07a98b003007b79b5eb1ca20283ae9ae182ddc3ba360"}}