{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:44XH35Y4XECCXSQULBQGYNVMEG","short_pith_number":"pith:44XH35Y4","canonical_record":{"source":{"id":"0911.3915","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2009-11-19T21:25:50Z","cross_cats_sorted":["math.AT"],"title_canon_sha256":"d0df8f9dba71574e968d355023c9e1fbdcee4b68485de305d603276320e568e0","abstract_canon_sha256":"1ba247cfd82770149e5040318fea80437c1f4b6dc09eb23609072a11030e1917"},"schema_version":"1.0"},"canonical_sha256":"e72e7df71cb9042bca1458606c36ac21b1af2f3891ebd8fbe5a135c071f54e4a","source":{"kind":"arxiv","id":"0911.3915","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.3915","created_at":"2026-05-18T03:07:32Z"},{"alias_kind":"arxiv_version","alias_value":"0911.3915v3","created_at":"2026-05-18T03:07:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.3915","created_at":"2026-05-18T03:07:32Z"},{"alias_kind":"pith_short_12","alias_value":"44XH35Y4XECC","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"44XH35Y4XECCXSQU","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"44XH35Y4","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:44XH35Y4XECCXSQULBQGYNVMEG","target":"record","payload":{"canonical_record":{"source":{"id":"0911.3915","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2009-11-19T21:25:50Z","cross_cats_sorted":["math.AT"],"title_canon_sha256":"d0df8f9dba71574e968d355023c9e1fbdcee4b68485de305d603276320e568e0","abstract_canon_sha256":"1ba247cfd82770149e5040318fea80437c1f4b6dc09eb23609072a11030e1917"},"schema_version":"1.0"},"canonical_sha256":"e72e7df71cb9042bca1458606c36ac21b1af2f3891ebd8fbe5a135c071f54e4a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:07:32.288824Z","signature_b64":"XjJoGhwqwJfQkzD4TdwGYYjtoCq9523TcRAFSSX2m9hyFOkOjUIDOIFV/EJCAe0GmSQ43GeQT0WEdsw3ShSUBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e72e7df71cb9042bca1458606c36ac21b1af2f3891ebd8fbe5a135c071f54e4a","last_reissued_at":"2026-05-18T03:07:32.288230Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:07:32.288230Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0911.3915","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:07:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"URR+7TmITck8eYkYzUCGyzpnKV76MraCWFfN/n47l+QbP1eS8WELCJz3x8dRPk/C+wawI7FZ9Hz58qkgLywABQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T18:11:28.442204Z"},"content_sha256":"7176ec6725582a26980191a7ceffb0b663972df381be59d612251bc73df182fb","schema_version":"1.0","event_id":"sha256:7176ec6725582a26980191a7ceffb0b663972df381be59d612251bc73df182fb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:44XH35Y4XECCXSQULBQGYNVMEG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Additivity and non-additivity for perverse signatures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.GT","authors_text":"Eugenie Hunsicker, Greg Friedman","submitted_at":"2009-11-19T21:25:50Z","abstract_excerpt":"A well-known property of the signature of closed oriented 4n-dimensional manifolds is Novikov additivity, which states that if a manifold is split into two manifolds with boundary along an oriented smooth hypersurface, then the signature of the original manifold equals the sum of the signatures of the resulting manifolds with boundary. Wall showed that this property is not true of signatures on manifolds with boundary and that the difference from additivity could be described as a certain Maslov triple index. Perverse signatures are signatures defined for any stratified pseudomanifold, using t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.3915","kind":"arxiv","version":3},"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":"2026-05-18T03:07:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D/ENU56zGXbzaAqxMxEZFov72rhLXnX+KmiwwUTbAS9T3DMummX4xJ0WFJjweXwa2eODst/YTQzvOvO0s35sCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T18:11:28.442562Z"},"content_sha256":"1daa06afc99d0ee1b5de7e799fb3035cdfb18d38c7b05b5d22980469b43b1fff","schema_version":"1.0","event_id":"sha256:1daa06afc99d0ee1b5de7e799fb3035cdfb18d38c7b05b5d22980469b43b1fff"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/44XH35Y4XECCXSQULBQGYNVMEG/bundle.json","state_url":"https://pith.science/pith/44XH35Y4XECCXSQULBQGYNVMEG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/44XH35Y4XECCXSQULBQGYNVMEG/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":"2026-06-23T18:11:28Z","links":{"resolver":"https://pith.science/pith/44XH35Y4XECCXSQULBQGYNVMEG","bundle":"https://pith.science/pith/44XH35Y4XECCXSQULBQGYNVMEG/bundle.json","state":"https://pith.science/pith/44XH35Y4XECCXSQULBQGYNVMEG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/44XH35Y4XECCXSQULBQGYNVMEG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:44XH35Y4XECCXSQULBQGYNVMEG","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":"1ba247cfd82770149e5040318fea80437c1f4b6dc09eb23609072a11030e1917","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2009-11-19T21:25:50Z","title_canon_sha256":"d0df8f9dba71574e968d355023c9e1fbdcee4b68485de305d603276320e568e0"},"schema_version":"1.0","source":{"id":"0911.3915","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.3915","created_at":"2026-05-18T03:07:32Z"},{"alias_kind":"arxiv_version","alias_value":"0911.3915v3","created_at":"2026-05-18T03:07:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.3915","created_at":"2026-05-18T03:07:32Z"},{"alias_kind":"pith_short_12","alias_value":"44XH35Y4XECC","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"44XH35Y4XECCXSQU","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"44XH35Y4","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:1daa06afc99d0ee1b5de7e799fb3035cdfb18d38c7b05b5d22980469b43b1fff","target":"graph","created_at":"2026-05-18T03:07:32Z","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":"A well-known property of the signature of closed oriented 4n-dimensional manifolds is Novikov additivity, which states that if a manifold is split into two manifolds with boundary along an oriented smooth hypersurface, then the signature of the original manifold equals the sum of the signatures of the resulting manifolds with boundary. Wall showed that this property is not true of signatures on manifolds with boundary and that the difference from additivity could be described as a certain Maslov triple index. Perverse signatures are signatures defined for any stratified pseudomanifold, using t","authors_text":"Eugenie Hunsicker, Greg Friedman","cross_cats":["math.AT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2009-11-19T21:25:50Z","title":"Additivity and non-additivity for perverse signatures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.3915","kind":"arxiv","version":3},"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":"sha256:7176ec6725582a26980191a7ceffb0b663972df381be59d612251bc73df182fb","target":"record","created_at":"2026-05-18T03:07:32Z","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":"1ba247cfd82770149e5040318fea80437c1f4b6dc09eb23609072a11030e1917","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2009-11-19T21:25:50Z","title_canon_sha256":"d0df8f9dba71574e968d355023c9e1fbdcee4b68485de305d603276320e568e0"},"schema_version":"1.0","source":{"id":"0911.3915","kind":"arxiv","version":3}},"canonical_sha256":"e72e7df71cb9042bca1458606c36ac21b1af2f3891ebd8fbe5a135c071f54e4a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e72e7df71cb9042bca1458606c36ac21b1af2f3891ebd8fbe5a135c071f54e4a","first_computed_at":"2026-05-18T03:07:32.288230Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:07:32.288230Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XjJoGhwqwJfQkzD4TdwGYYjtoCq9523TcRAFSSX2m9hyFOkOjUIDOIFV/EJCAe0GmSQ43GeQT0WEdsw3ShSUBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:07:32.288824Z","signed_message":"canonical_sha256_bytes"},"source_id":"0911.3915","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7176ec6725582a26980191a7ceffb0b663972df381be59d612251bc73df182fb","sha256:1daa06afc99d0ee1b5de7e799fb3035cdfb18d38c7b05b5d22980469b43b1fff"],"state_sha256":"78c9e74fad29f507a90d3324e9bdf6094c2f172ca1b74353047f7f4f4ccac8ed"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MVyd7eaGQzPEBt3CwpWYwlnA/HKpvO5O5w4t4rmIX2tM4urzp1ZYQVgkQOsg/52urGlgEZW2Iyan3EMPXbG2BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T18:11:28.444471Z","bundle_sha256":"ecea11778e7117dcdfa06dcb66a9df8a6bbbb61231f15ec28904bcd33caad23c"}}