{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:OOF3HUG5OPIA3YNGBVKUMDHQR6","short_pith_number":"pith:OOF3HUG5","canonical_record":{"source":{"id":"1506.05968","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-06-19T12:06:33Z","cross_cats_sorted":[],"title_canon_sha256":"fa273dbcbfb88187105a1b5fd10e08bd2a04a677857b195b7f63cc7875d7cff1","abstract_canon_sha256":"b140e5ce34e1b60e16a2d94b77a020f78f18cc87d7e72eead339f86175d84a59"},"schema_version":"1.0"},"canonical_sha256":"738bb3d0dd73d00de1a60d55460cf08f8e27f0e169388dd43545f547b8feacec","source":{"kind":"arxiv","id":"1506.05968","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.05968","created_at":"2026-05-18T01:42:46Z"},{"alias_kind":"arxiv_version","alias_value":"1506.05968v1","created_at":"2026-05-18T01:42:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.05968","created_at":"2026-05-18T01:42:46Z"},{"alias_kind":"pith_short_12","alias_value":"OOF3HUG5OPIA","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OOF3HUG5OPIA3YNG","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OOF3HUG5","created_at":"2026-05-18T12:29:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:OOF3HUG5OPIA3YNGBVKUMDHQR6","target":"record","payload":{"canonical_record":{"source":{"id":"1506.05968","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-06-19T12:06:33Z","cross_cats_sorted":[],"title_canon_sha256":"fa273dbcbfb88187105a1b5fd10e08bd2a04a677857b195b7f63cc7875d7cff1","abstract_canon_sha256":"b140e5ce34e1b60e16a2d94b77a020f78f18cc87d7e72eead339f86175d84a59"},"schema_version":"1.0"},"canonical_sha256":"738bb3d0dd73d00de1a60d55460cf08f8e27f0e169388dd43545f547b8feacec","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:42:46.640263Z","signature_b64":"hVxwnvTvxjH1iRZRexp0kVbFLTh2sUBRTNZqzdP4QnEfJ+CX/LDUGuBx4OQao+PaYOzJh8IiPIo/3AiEZHEVCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"738bb3d0dd73d00de1a60d55460cf08f8e27f0e169388dd43545f547b8feacec","last_reissued_at":"2026-05-18T01:42:46.639682Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:42:46.639682Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.05968","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":"2026-05-18T01:42:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wo53dgTshGZzkxnmkeMV07KFzkTcS7MmRtmuqv3d1BoHwKokPlUl+VGvU7zffOMpedjfJf6UQdu13bERWuljCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T03:52:21.244216Z"},"content_sha256":"b95ff58143ec2955429746aa8087ee6fd3ec969484fd71d351b5cf9948f60d17","schema_version":"1.0","event_id":"sha256:b95ff58143ec2955429746aa8087ee6fd3ec969484fd71d351b5cf9948f60d17"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:OOF3HUG5OPIA3YNGBVKUMDHQR6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Boundaries of locally conformally flat manifolds in dimensions $4k$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Sergiu Moroianu","submitted_at":"2015-06-19T12:06:33Z","abstract_excerpt":"We give global restrictions on the possible boundaries of compact, orientable, locally conformally flat manifolds of dimension $4k$ in terms of integrality of eta invariants."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.05968","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":"2026-05-18T01:42:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bC65ucrg6a1gdSqy3M/ukuUVd1opd6f3LqVmf/THH9iH/avR2WdrM6zHTMk2BJFIPESuXvDY+QxpQEMU4AP9AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T03:52:21.244954Z"},"content_sha256":"78375c0b1b6f818c4837b068da81568ccae0a28a5cc71015e09c9648d3ac380d","schema_version":"1.0","event_id":"sha256:78375c0b1b6f818c4837b068da81568ccae0a28a5cc71015e09c9648d3ac380d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OOF3HUG5OPIA3YNGBVKUMDHQR6/bundle.json","state_url":"https://pith.science/pith/OOF3HUG5OPIA3YNGBVKUMDHQR6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OOF3HUG5OPIA3YNGBVKUMDHQR6/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":"2026-06-09T03:52:21Z","links":{"resolver":"https://pith.science/pith/OOF3HUG5OPIA3YNGBVKUMDHQR6","bundle":"https://pith.science/pith/OOF3HUG5OPIA3YNGBVKUMDHQR6/bundle.json","state":"https://pith.science/pith/OOF3HUG5OPIA3YNGBVKUMDHQR6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OOF3HUG5OPIA3YNGBVKUMDHQR6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:OOF3HUG5OPIA3YNGBVKUMDHQR6","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":"b140e5ce34e1b60e16a2d94b77a020f78f18cc87d7e72eead339f86175d84a59","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-06-19T12:06:33Z","title_canon_sha256":"fa273dbcbfb88187105a1b5fd10e08bd2a04a677857b195b7f63cc7875d7cff1"},"schema_version":"1.0","source":{"id":"1506.05968","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.05968","created_at":"2026-05-18T01:42:46Z"},{"alias_kind":"arxiv_version","alias_value":"1506.05968v1","created_at":"2026-05-18T01:42:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.05968","created_at":"2026-05-18T01:42:46Z"},{"alias_kind":"pith_short_12","alias_value":"OOF3HUG5OPIA","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OOF3HUG5OPIA3YNG","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OOF3HUG5","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:78375c0b1b6f818c4837b068da81568ccae0a28a5cc71015e09c9648d3ac380d","target":"graph","created_at":"2026-05-18T01:42:46Z","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 give global restrictions on the possible boundaries of compact, orientable, locally conformally flat manifolds of dimension $4k$ in terms of integrality of eta invariants.","authors_text":"Sergiu Moroianu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-06-19T12:06:33Z","title":"Boundaries of locally conformally flat manifolds in dimensions $4k$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.05968","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:b95ff58143ec2955429746aa8087ee6fd3ec969484fd71d351b5cf9948f60d17","target":"record","created_at":"2026-05-18T01:42:46Z","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":"b140e5ce34e1b60e16a2d94b77a020f78f18cc87d7e72eead339f86175d84a59","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-06-19T12:06:33Z","title_canon_sha256":"fa273dbcbfb88187105a1b5fd10e08bd2a04a677857b195b7f63cc7875d7cff1"},"schema_version":"1.0","source":{"id":"1506.05968","kind":"arxiv","version":1}},"canonical_sha256":"738bb3d0dd73d00de1a60d55460cf08f8e27f0e169388dd43545f547b8feacec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"738bb3d0dd73d00de1a60d55460cf08f8e27f0e169388dd43545f547b8feacec","first_computed_at":"2026-05-18T01:42:46.639682Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:42:46.639682Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hVxwnvTvxjH1iRZRexp0kVbFLTh2sUBRTNZqzdP4QnEfJ+CX/LDUGuBx4OQao+PaYOzJh8IiPIo/3AiEZHEVCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:42:46.640263Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.05968","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b95ff58143ec2955429746aa8087ee6fd3ec969484fd71d351b5cf9948f60d17","sha256:78375c0b1b6f818c4837b068da81568ccae0a28a5cc71015e09c9648d3ac380d"],"state_sha256":"625d4527d90bb0121dc7074c839a165451c816a69d674cf2502f378414bda9a4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eAoABr3MMJH7T3fh3xtjkHC/Fl6qbYmsPBPVyn+M1SWsui93rjN3+hREm3NWM5eNhTlA5I4/UFK2VLmP/gC+Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T03:52:21.248761Z","bundle_sha256":"60ddd8a5d7103dc9a303344a1d566e88cb4ebfc2a8c7a3a38281fedd53134d95"}}