{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:N7O74L5FHYVR6FTRUT63J4SPGR","short_pith_number":"pith:N7O74L5F","canonical_record":{"source":{"id":"1008.4299","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-08-25T14:58:10Z","cross_cats_sorted":[],"title_canon_sha256":"7b73de888b9532f2fc43f75af0b3f73e81052c8430cf2f73202844c6eddddcf3","abstract_canon_sha256":"22d842b838b32257425c87ec18b5cb7dfa72b956660ded5a1c05e26b36fe299b"},"schema_version":"1.0"},"canonical_sha256":"6fddfe2fa53e2b1f1671a4fdb4f24f347da8a16de2e2a8d5df06701e44751ce2","source":{"kind":"arxiv","id":"1008.4299","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.4299","created_at":"2026-05-18T03:50:22Z"},{"alias_kind":"arxiv_version","alias_value":"1008.4299v3","created_at":"2026-05-18T03:50:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.4299","created_at":"2026-05-18T03:50:22Z"},{"alias_kind":"pith_short_12","alias_value":"N7O74L5FHYVR","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"N7O74L5FHYVR6FTR","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"N7O74L5F","created_at":"2026-05-18T12:26:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:N7O74L5FHYVR6FTRUT63J4SPGR","target":"record","payload":{"canonical_record":{"source":{"id":"1008.4299","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-08-25T14:58:10Z","cross_cats_sorted":[],"title_canon_sha256":"7b73de888b9532f2fc43f75af0b3f73e81052c8430cf2f73202844c6eddddcf3","abstract_canon_sha256":"22d842b838b32257425c87ec18b5cb7dfa72b956660ded5a1c05e26b36fe299b"},"schema_version":"1.0"},"canonical_sha256":"6fddfe2fa53e2b1f1671a4fdb4f24f347da8a16de2e2a8d5df06701e44751ce2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:50:22.124513Z","signature_b64":"CGl0fqcqjbqoFgYt8T9ouumjuQW/TdwxK/KT5LXU9Sjy7ephvSRk4fztPZ9ZWjhZ0PvZqfz/YyINL7YGS2JtDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6fddfe2fa53e2b1f1671a4fdb4f24f347da8a16de2e2a8d5df06701e44751ce2","last_reissued_at":"2026-05-18T03:50:22.123683Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:50:22.123683Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.4299","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":"2026-05-18T03:50:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bP7ayncT/Rl+Bjsb7tpaxZiFtjd7zjpgStA7lKI4aTBDQf1Y4dXeYP7UJcVbkQXom+IMidFqMryGb74rf8PYCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T15:40:37.060624Z"},"content_sha256":"8dc579e51e31f79ce813cbec9e6bf4094d18b10026ec2c89696b76fe9ce07669","schema_version":"1.0","event_id":"sha256:8dc579e51e31f79ce813cbec9e6bf4094d18b10026ec2c89696b76fe9ce07669"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:N7O74L5FHYVR6FTRUT63J4SPGR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Characteristic classes of symmetric products of complex quasi-projective varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Joerg Schuermann, Julius L. Shaneson, Laurentiu Maxim, Shoji Yokura, Sylvain E. Cappell","submitted_at":"2010-08-25T14:58:10Z","abstract_excerpt":"We prove generating series formulae for suitable twisted characteristic classes of symmetric products of a singular complex quasi-projective variety. More concretely, we study homology Hirzebruch classes for motivic coefficients, as well as for complexes of mixed Hodge modules. As a special case, we obtain a generating series formula for the (intersection) homology Hirzebruch classes of symmetric products. In some cases, the latter yields a similar formula for twisted homology L-classes generalizing results of Hirzebruch-Zagier and Moonen. Our methods also apply to the study of Todd classes of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.4299","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":"2026-05-18T03:50:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CiirD1BODa8jafxY97m1s8yMP9O4MzBSnWCzbwhXhu9SnoEz58ApT0Scdg0ybGJ3jgp0+TgCs89rMxHRWp5aBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T15:40:37.061304Z"},"content_sha256":"f3fe218ff0a76e1ff90fb75fdf34311f9ab8a1972620c573fd19758fdc437f6b","schema_version":"1.0","event_id":"sha256:f3fe218ff0a76e1ff90fb75fdf34311f9ab8a1972620c573fd19758fdc437f6b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N7O74L5FHYVR6FTRUT63J4SPGR/bundle.json","state_url":"https://pith.science/pith/N7O74L5FHYVR6FTRUT63J4SPGR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N7O74L5FHYVR6FTRUT63J4SPGR/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":"2026-05-30T15:40:37Z","links":{"resolver":"https://pith.science/pith/N7O74L5FHYVR6FTRUT63J4SPGR","bundle":"https://pith.science/pith/N7O74L5FHYVR6FTRUT63J4SPGR/bundle.json","state":"https://pith.science/pith/N7O74L5FHYVR6FTRUT63J4SPGR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N7O74L5FHYVR6FTRUT63J4SPGR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:N7O74L5FHYVR6FTRUT63J4SPGR","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":"22d842b838b32257425c87ec18b5cb7dfa72b956660ded5a1c05e26b36fe299b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-08-25T14:58:10Z","title_canon_sha256":"7b73de888b9532f2fc43f75af0b3f73e81052c8430cf2f73202844c6eddddcf3"},"schema_version":"1.0","source":{"id":"1008.4299","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.4299","created_at":"2026-05-18T03:50:22Z"},{"alias_kind":"arxiv_version","alias_value":"1008.4299v3","created_at":"2026-05-18T03:50:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.4299","created_at":"2026-05-18T03:50:22Z"},{"alias_kind":"pith_short_12","alias_value":"N7O74L5FHYVR","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"N7O74L5FHYVR6FTR","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"N7O74L5F","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:f3fe218ff0a76e1ff90fb75fdf34311f9ab8a1972620c573fd19758fdc437f6b","target":"graph","created_at":"2026-05-18T03:50:22Z","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 generating series formulae for suitable twisted characteristic classes of symmetric products of a singular complex quasi-projective variety. More concretely, we study homology Hirzebruch classes for motivic coefficients, as well as for complexes of mixed Hodge modules. As a special case, we obtain a generating series formula for the (intersection) homology Hirzebruch classes of symmetric products. In some cases, the latter yields a similar formula for twisted homology L-classes generalizing results of Hirzebruch-Zagier and Moonen. Our methods also apply to the study of Todd classes of","authors_text":"Joerg Schuermann, Julius L. Shaneson, Laurentiu Maxim, Shoji Yokura, Sylvain E. Cappell","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-08-25T14:58:10Z","title":"Characteristic classes of symmetric products of complex quasi-projective varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.4299","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":"sha256:8dc579e51e31f79ce813cbec9e6bf4094d18b10026ec2c89696b76fe9ce07669","target":"record","created_at":"2026-05-18T03:50:22Z","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":"22d842b838b32257425c87ec18b5cb7dfa72b956660ded5a1c05e26b36fe299b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-08-25T14:58:10Z","title_canon_sha256":"7b73de888b9532f2fc43f75af0b3f73e81052c8430cf2f73202844c6eddddcf3"},"schema_version":"1.0","source":{"id":"1008.4299","kind":"arxiv","version":3}},"canonical_sha256":"6fddfe2fa53e2b1f1671a4fdb4f24f347da8a16de2e2a8d5df06701e44751ce2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6fddfe2fa53e2b1f1671a4fdb4f24f347da8a16de2e2a8d5df06701e44751ce2","first_computed_at":"2026-05-18T03:50:22.123683Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:50:22.123683Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CGl0fqcqjbqoFgYt8T9ouumjuQW/TdwxK/KT5LXU9Sjy7ephvSRk4fztPZ9ZWjhZ0PvZqfz/YyINL7YGS2JtDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:50:22.124513Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.4299","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8dc579e51e31f79ce813cbec9e6bf4094d18b10026ec2c89696b76fe9ce07669","sha256:f3fe218ff0a76e1ff90fb75fdf34311f9ab8a1972620c573fd19758fdc437f6b"],"state_sha256":"3bdc1121f60ed6d88efc17b319c6c25b420934819bf708a44cefaa29975c9273"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TBQLi/taAH3fyl9oVnOjFJCJcS/oSyMCZEYFByDEVukcFsLAKYyY5Hat/GIwdxfg+JEnnLQpANwXDB3LV6qEDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T15:40:37.064655Z","bundle_sha256":"d1dd04a1fddf11cb97ddc4b2747b6a75af1a26203a3b08b65b3bb9dc92ca869b"}}