{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:7JJJT3K2FA2Y2BNB76WQHWJIBD","short_pith_number":"pith:7JJJT3K2","canonical_record":{"source":{"id":"1708.05624","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-08-18T14:18:45Z","cross_cats_sorted":[],"title_canon_sha256":"5226a68325185abffa9db439aae9b0983222829869d9d86e868b0250b7cd327a","abstract_canon_sha256":"0dc6fc2b4bae825b608b853b8c543301e6721a6cd0e0fcd0b4a336377bc10e02"},"schema_version":"1.0"},"canonical_sha256":"fa5299ed5a28358d05a1ffad03d92808e7be4318d0e95630787025e202966106","source":{"kind":"arxiv","id":"1708.05624","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.05624","created_at":"2026-05-18T00:37:49Z"},{"alias_kind":"arxiv_version","alias_value":"1708.05624v1","created_at":"2026-05-18T00:37:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.05624","created_at":"2026-05-18T00:37:49Z"},{"alias_kind":"pith_short_12","alias_value":"7JJJT3K2FA2Y","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"7JJJT3K2FA2Y2BNB","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"7JJJT3K2","created_at":"2026-05-18T12:31:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:7JJJT3K2FA2Y2BNB76WQHWJIBD","target":"record","payload":{"canonical_record":{"source":{"id":"1708.05624","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-08-18T14:18:45Z","cross_cats_sorted":[],"title_canon_sha256":"5226a68325185abffa9db439aae9b0983222829869d9d86e868b0250b7cd327a","abstract_canon_sha256":"0dc6fc2b4bae825b608b853b8c543301e6721a6cd0e0fcd0b4a336377bc10e02"},"schema_version":"1.0"},"canonical_sha256":"fa5299ed5a28358d05a1ffad03d92808e7be4318d0e95630787025e202966106","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:37:49.475288Z","signature_b64":"JXHdZBipq9s4tpcWB7XxEGG7gAVH3Gobe++ofssXOOH5aMKUJXH8Go5Y9XKykgmcGdLxj1Wmv0ugUzNFyD1kBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fa5299ed5a28358d05a1ffad03d92808e7be4318d0e95630787025e202966106","last_reissued_at":"2026-05-18T00:37:49.474758Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:37:49.474758Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.05624","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":"2026-05-18T00:37:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"twJqc4bLicaYPGskJKdiiXQPCOBq+6gF+yuhmLvxZQXlFzWPp9kKot7wz/XRk2Al7hSB/xazgxNVkOp08CDXDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T12:22:21.649653Z"},"content_sha256":"c56d85a50817b48bbe3358dce9d94091c70a5b5d9a0a3102eeef0fca9afba386","schema_version":"1.0","event_id":"sha256:c56d85a50817b48bbe3358dce9d94091c70a5b5d9a0a3102eeef0fca9afba386"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:7JJJT3K2FA2Y2BNB76WQHWJIBD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spectrum of the Kohn Laplacian on the Rossi sphere","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Madelyne M. Brown, Ravikumar Ramasami, Tawfik Abbas, Yunus E. Zeytuncu","submitted_at":"2017-08-18T14:18:45Z","abstract_excerpt":"We study the spectrum of the Kohn Laplacian $\\square_b^t$ on the Rossi example $(\\mathbb{S}^3, \\mathcal{L}_t)$. In particular we show that $0$ is in the essential spectrum of $\\square_b^t$, which yields another proof of the global non-embeddability of the Rossi example."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.05624","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":"2026-05-18T00:37:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yIEqbL5YZu0FlE+bQwbIjat1cYaJhtBbciRRGuEajt96d4GdVnw8UAB9ed3HbP1nMKZQg9iVPZXZdsyMZzwfAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T12:22:21.650280Z"},"content_sha256":"5148a9e907c1c0367af3beb4bd42b1681b5251ce54e5524e8bc298ed402959b6","schema_version":"1.0","event_id":"sha256:5148a9e907c1c0367af3beb4bd42b1681b5251ce54e5524e8bc298ed402959b6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7JJJT3K2FA2Y2BNB76WQHWJIBD/bundle.json","state_url":"https://pith.science/pith/7JJJT3K2FA2Y2BNB76WQHWJIBD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7JJJT3K2FA2Y2BNB76WQHWJIBD/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":"2026-05-30T12:22:21Z","links":{"resolver":"https://pith.science/pith/7JJJT3K2FA2Y2BNB76WQHWJIBD","bundle":"https://pith.science/pith/7JJJT3K2FA2Y2BNB76WQHWJIBD/bundle.json","state":"https://pith.science/pith/7JJJT3K2FA2Y2BNB76WQHWJIBD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7JJJT3K2FA2Y2BNB76WQHWJIBD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:7JJJT3K2FA2Y2BNB76WQHWJIBD","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":"0dc6fc2b4bae825b608b853b8c543301e6721a6cd0e0fcd0b4a336377bc10e02","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-08-18T14:18:45Z","title_canon_sha256":"5226a68325185abffa9db439aae9b0983222829869d9d86e868b0250b7cd327a"},"schema_version":"1.0","source":{"id":"1708.05624","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.05624","created_at":"2026-05-18T00:37:49Z"},{"alias_kind":"arxiv_version","alias_value":"1708.05624v1","created_at":"2026-05-18T00:37:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.05624","created_at":"2026-05-18T00:37:49Z"},{"alias_kind":"pith_short_12","alias_value":"7JJJT3K2FA2Y","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"7JJJT3K2FA2Y2BNB","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"7JJJT3K2","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:5148a9e907c1c0367af3beb4bd42b1681b5251ce54e5524e8bc298ed402959b6","target":"graph","created_at":"2026-05-18T00:37:49Z","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 the spectrum of the Kohn Laplacian $\\square_b^t$ on the Rossi example $(\\mathbb{S}^3, \\mathcal{L}_t)$. In particular we show that $0$ is in the essential spectrum of $\\square_b^t$, which yields another proof of the global non-embeddability of the Rossi example.","authors_text":"Madelyne M. Brown, Ravikumar Ramasami, Tawfik Abbas, Yunus E. Zeytuncu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-08-18T14:18:45Z","title":"Spectrum of the Kohn Laplacian on the Rossi sphere"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.05624","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:c56d85a50817b48bbe3358dce9d94091c70a5b5d9a0a3102eeef0fca9afba386","target":"record","created_at":"2026-05-18T00:37:49Z","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":"0dc6fc2b4bae825b608b853b8c543301e6721a6cd0e0fcd0b4a336377bc10e02","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-08-18T14:18:45Z","title_canon_sha256":"5226a68325185abffa9db439aae9b0983222829869d9d86e868b0250b7cd327a"},"schema_version":"1.0","source":{"id":"1708.05624","kind":"arxiv","version":1}},"canonical_sha256":"fa5299ed5a28358d05a1ffad03d92808e7be4318d0e95630787025e202966106","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa5299ed5a28358d05a1ffad03d92808e7be4318d0e95630787025e202966106","first_computed_at":"2026-05-18T00:37:49.474758Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:49.474758Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JXHdZBipq9s4tpcWB7XxEGG7gAVH3Gobe++ofssXOOH5aMKUJXH8Go5Y9XKykgmcGdLxj1Wmv0ugUzNFyD1kBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:49.475288Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.05624","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c56d85a50817b48bbe3358dce9d94091c70a5b5d9a0a3102eeef0fca9afba386","sha256:5148a9e907c1c0367af3beb4bd42b1681b5251ce54e5524e8bc298ed402959b6"],"state_sha256":"85b58f4417693eecd7e30ce0d21205ab600a54e4bb4b7b4e34dea8032b023ae7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9s3kk47dq8k0oWYv7OpaYgx5d2jydhCO56L9hOniri1lYNHNAVpXgF1q9d43ys4NBENdEulzIlC+OBsSCB3JCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T12:22:21.653427Z","bundle_sha256":"e4650c60e58375d2be3563a4bc4c789be453a92593e5640aa9c219e275e96169"}}