{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:POZLOZIOAKCEVQNAXYPNZEWIXS","short_pith_number":"pith:POZLOZIO","canonical_record":{"source":{"id":"1709.05035","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-09-15T02:21:00Z","cross_cats_sorted":["math-ph","math.DG","math.MP"],"title_canon_sha256":"041d0d1fc2d3e3b0f138708e5dd4fdfadb882a740522282cc76daeba03b18b9f","abstract_canon_sha256":"0998d4fa1740d11a991cbfed7fdcd3ea007935aafc29a8c4241d30ab9c5d2189"},"schema_version":"1.0"},"canonical_sha256":"7bb2b7650e02844ac1a0be1edc92c8bc927d045d1a9d992599e73ce7e65dbcdf","source":{"kind":"arxiv","id":"1709.05035","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.05035","created_at":"2026-05-17T23:49:17Z"},{"alias_kind":"arxiv_version","alias_value":"1709.05035v1","created_at":"2026-05-17T23:49:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.05035","created_at":"2026-05-17T23:49:17Z"},{"alias_kind":"pith_short_12","alias_value":"POZLOZIOAKCE","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"POZLOZIOAKCEVQNA","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"POZLOZIO","created_at":"2026-05-18T12:31:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:POZLOZIOAKCEVQNAXYPNZEWIXS","target":"record","payload":{"canonical_record":{"source":{"id":"1709.05035","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-09-15T02:21:00Z","cross_cats_sorted":["math-ph","math.DG","math.MP"],"title_canon_sha256":"041d0d1fc2d3e3b0f138708e5dd4fdfadb882a740522282cc76daeba03b18b9f","abstract_canon_sha256":"0998d4fa1740d11a991cbfed7fdcd3ea007935aafc29a8c4241d30ab9c5d2189"},"schema_version":"1.0"},"canonical_sha256":"7bb2b7650e02844ac1a0be1edc92c8bc927d045d1a9d992599e73ce7e65dbcdf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:17.955247Z","signature_b64":"FtYfkJEV6l/y9p/c91tPdDEMlaBYG4MG1Yd9lFJOdvQJMD/lSPkhgrwiRo40PCC4hIHkOgFQiWfUuzdP8p/ZAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7bb2b7650e02844ac1a0be1edc92c8bc927d045d1a9d992599e73ce7e65dbcdf","last_reissued_at":"2026-05-17T23:49:17.954741Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:17.954741Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1709.05035","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":"2026-05-17T23:49:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SEMiu2Sjruh/nLaTSj0XDCCjlAP+WfdgMchKMTzgL4lfelmasd2h92upI1lHEnM3r3lpjFspqDOUSiO4ClYHCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T15:42:19.383354Z"},"content_sha256":"03d6599a3fad7911efe247a9a38a6c0f8ac0742b18b88b7a205c1dce7164c9ed","schema_version":"1.0","event_id":"sha256:03d6599a3fad7911efe247a9a38a6c0f8ac0742b18b88b7a205c1dce7164c9ed"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:POZLOZIOAKCEVQNAXYPNZEWIXS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Residue formula for regular symmetry breaking operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.DG","math.MP"],"primary_cat":"math.RT","authors_text":"Toshiyuki Kobayashi","submitted_at":"2017-09-15T02:21:00Z","abstract_excerpt":"We prove an explicit residue formula for a meromorphic continuation of conformally covariant integral operators between differential forms on ${\\bf R}^n$ and on its hyperplane.\n  The results provide a simple and new construction of the conformally covariant differential symmetry breaking operators between differential forms on the sphere and those on its totally geodesic hypersurface that were introduced in [Kobayashi-Kubo-Pevzner, Lect. Notes Math. (2016)].\n  Moreover, we determine the zeros of the matrix-valued regular symmetry breaking operators between principal series representations of $"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.05035","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":"2026-05-17T23:49:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bm1lcC/3RwsXnYUg59WfdYHsePQESTblxiUjzXRwP7BXaROzwdjfDboVLimv1n3N2VhHJGSITKCpX4GNMxxdCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T15:42:19.383752Z"},"content_sha256":"54c5fafe851de3adf585af58030192b13904396b08399f4feb7cf7d2cdb95d59","schema_version":"1.0","event_id":"sha256:54c5fafe851de3adf585af58030192b13904396b08399f4feb7cf7d2cdb95d59"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/POZLOZIOAKCEVQNAXYPNZEWIXS/bundle.json","state_url":"https://pith.science/pith/POZLOZIOAKCEVQNAXYPNZEWIXS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/POZLOZIOAKCEVQNAXYPNZEWIXS/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":"2026-05-26T15:42:19Z","links":{"resolver":"https://pith.science/pith/POZLOZIOAKCEVQNAXYPNZEWIXS","bundle":"https://pith.science/pith/POZLOZIOAKCEVQNAXYPNZEWIXS/bundle.json","state":"https://pith.science/pith/POZLOZIOAKCEVQNAXYPNZEWIXS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/POZLOZIOAKCEVQNAXYPNZEWIXS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:POZLOZIOAKCEVQNAXYPNZEWIXS","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":"0998d4fa1740d11a991cbfed7fdcd3ea007935aafc29a8c4241d30ab9c5d2189","cross_cats_sorted":["math-ph","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-09-15T02:21:00Z","title_canon_sha256":"041d0d1fc2d3e3b0f138708e5dd4fdfadb882a740522282cc76daeba03b18b9f"},"schema_version":"1.0","source":{"id":"1709.05035","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.05035","created_at":"2026-05-17T23:49:17Z"},{"alias_kind":"arxiv_version","alias_value":"1709.05035v1","created_at":"2026-05-17T23:49:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.05035","created_at":"2026-05-17T23:49:17Z"},{"alias_kind":"pith_short_12","alias_value":"POZLOZIOAKCE","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"POZLOZIOAKCEVQNA","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"POZLOZIO","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:54c5fafe851de3adf585af58030192b13904396b08399f4feb7cf7d2cdb95d59","target":"graph","created_at":"2026-05-17T23:49:17Z","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 an explicit residue formula for a meromorphic continuation of conformally covariant integral operators between differential forms on ${\\bf R}^n$ and on its hyperplane.\n  The results provide a simple and new construction of the conformally covariant differential symmetry breaking operators between differential forms on the sphere and those on its totally geodesic hypersurface that were introduced in [Kobayashi-Kubo-Pevzner, Lect. Notes Math. (2016)].\n  Moreover, we determine the zeros of the matrix-valued regular symmetry breaking operators between principal series representations of $","authors_text":"Toshiyuki Kobayashi","cross_cats":["math-ph","math.DG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-09-15T02:21:00Z","title":"Residue formula for regular symmetry breaking operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.05035","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":"sha256:03d6599a3fad7911efe247a9a38a6c0f8ac0742b18b88b7a205c1dce7164c9ed","target":"record","created_at":"2026-05-17T23:49:17Z","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":"0998d4fa1740d11a991cbfed7fdcd3ea007935aafc29a8c4241d30ab9c5d2189","cross_cats_sorted":["math-ph","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-09-15T02:21:00Z","title_canon_sha256":"041d0d1fc2d3e3b0f138708e5dd4fdfadb882a740522282cc76daeba03b18b9f"},"schema_version":"1.0","source":{"id":"1709.05035","kind":"arxiv","version":1}},"canonical_sha256":"7bb2b7650e02844ac1a0be1edc92c8bc927d045d1a9d992599e73ce7e65dbcdf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7bb2b7650e02844ac1a0be1edc92c8bc927d045d1a9d992599e73ce7e65dbcdf","first_computed_at":"2026-05-17T23:49:17.954741Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:49:17.954741Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FtYfkJEV6l/y9p/c91tPdDEMlaBYG4MG1Yd9lFJOdvQJMD/lSPkhgrwiRo40PCC4hIHkOgFQiWfUuzdP8p/ZAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:49:17.955247Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.05035","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:03d6599a3fad7911efe247a9a38a6c0f8ac0742b18b88b7a205c1dce7164c9ed","sha256:54c5fafe851de3adf585af58030192b13904396b08399f4feb7cf7d2cdb95d59"],"state_sha256":"d92dab2dfb3ed98970ee6efb57c640ec249b932a0b255eb2d01f22a50d2db0c9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vco6sSTyE/M+EmB6kGjk2MAycFt883zekT7AUQ07FE6YujrUWcm9o2uYe3M8Mb8BMrh79vUCqCCTCISn4+xxBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T15:42:19.387029Z","bundle_sha256":"d4b6c4ba04623537303c6a7130609d93aeafd976eee9b24a292faf1f4fda946c"}}