{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:Z55XVPKMQFHRSS4TM2UK3VIMBQ","short_pith_number":"pith:Z55XVPKM","canonical_record":{"source":{"id":"1303.5574","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-03-22T10:31:33Z","cross_cats_sorted":[],"title_canon_sha256":"3982166b8a7c80e4dcd4f4e46a8deb1a8042dbc74211ffa3a2694577427ed0a0","abstract_canon_sha256":"5dd785b411d117fe9e651fe68950afd1b9176192a2ba05f3c090604139d341e8"},"schema_version":"1.0"},"canonical_sha256":"cf7b7abd4c814f194b9366a8add50c0c28f1fdb212f01baafd1d66677f88b672","source":{"kind":"arxiv","id":"1303.5574","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.5574","created_at":"2026-05-18T03:30:03Z"},{"alias_kind":"arxiv_version","alias_value":"1303.5574v1","created_at":"2026-05-18T03:30:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.5574","created_at":"2026-05-18T03:30:03Z"},{"alias_kind":"pith_short_12","alias_value":"Z55XVPKMQFHR","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"Z55XVPKMQFHRSS4T","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"Z55XVPKM","created_at":"2026-05-18T12:28:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:Z55XVPKMQFHRSS4TM2UK3VIMBQ","target":"record","payload":{"canonical_record":{"source":{"id":"1303.5574","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-03-22T10:31:33Z","cross_cats_sorted":[],"title_canon_sha256":"3982166b8a7c80e4dcd4f4e46a8deb1a8042dbc74211ffa3a2694577427ed0a0","abstract_canon_sha256":"5dd785b411d117fe9e651fe68950afd1b9176192a2ba05f3c090604139d341e8"},"schema_version":"1.0"},"canonical_sha256":"cf7b7abd4c814f194b9366a8add50c0c28f1fdb212f01baafd1d66677f88b672","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:30:03.804905Z","signature_b64":"i8W3s9aFiNAFaq5j4zRJ+m15Qe38C3xi2oIjX1yP+f54A5z9ZQvcrf5n/U2fQFg9vGPNULeVztG5Z4ssCrBxCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf7b7abd4c814f194b9366a8add50c0c28f1fdb212f01baafd1d66677f88b672","last_reissued_at":"2026-05-18T03:30:03.804374Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:30:03.804374Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.5574","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":"2026-05-18T03:30:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hewv5uasNeLOMkFvb7UlJ1dH74DykJR7jUJBoMzfD22EJRsXO+bEo9IqLNB/FEmixyv2l1En08LG6tTFfE7QDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T22:05:57.727678Z"},"content_sha256":"339498bab0ec8f8089741b55c9a8e2d3052c2feccda9bd48cf94f23456bdb54d","schema_version":"1.0","event_id":"sha256:339498bab0ec8f8089741b55c9a8e2d3052c2feccda9bd48cf94f23456bdb54d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:Z55XVPKMQFHRSS4TM2UK3VIMBQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Higher order generalized Euler characteristics and generating series","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"A. Melle-Hern\\'andez, I. Luengo, S.M. Gusein-Zade","submitted_at":"2013-03-22T10:31:33Z","abstract_excerpt":"For a complex quasi-projective manifold with a finite group action, we define higher order generalized Euler characteristics with values in the Grothendieck ring of complex quasi-projective varieties extended by the rational powers of the class of the affine line. We compute the generating series of generalized Euler characteristics of a fixed order of the Cartesian products of the manifold with the wreath product actions on them."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.5574","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":"2026-05-18T03:30:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fvvaJGHh7NWn/aOoLePl0EW5vtVTLZ+8zchqH2/lAUrSw+uSNdUv9lWwnwSjXZS97XYPTzSNUw5v34hIjRGoBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T22:05:57.728022Z"},"content_sha256":"5e07c35660342176b02be90ae95c6df78d9ff915561c65f1fce0c91ba9e12db9","schema_version":"1.0","event_id":"sha256:5e07c35660342176b02be90ae95c6df78d9ff915561c65f1fce0c91ba9e12db9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z55XVPKMQFHRSS4TM2UK3VIMBQ/bundle.json","state_url":"https://pith.science/pith/Z55XVPKMQFHRSS4TM2UK3VIMBQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z55XVPKMQFHRSS4TM2UK3VIMBQ/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":"2026-06-21T22:05:57Z","links":{"resolver":"https://pith.science/pith/Z55XVPKMQFHRSS4TM2UK3VIMBQ","bundle":"https://pith.science/pith/Z55XVPKMQFHRSS4TM2UK3VIMBQ/bundle.json","state":"https://pith.science/pith/Z55XVPKMQFHRSS4TM2UK3VIMBQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z55XVPKMQFHRSS4TM2UK3VIMBQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:Z55XVPKMQFHRSS4TM2UK3VIMBQ","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":"5dd785b411d117fe9e651fe68950afd1b9176192a2ba05f3c090604139d341e8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-03-22T10:31:33Z","title_canon_sha256":"3982166b8a7c80e4dcd4f4e46a8deb1a8042dbc74211ffa3a2694577427ed0a0"},"schema_version":"1.0","source":{"id":"1303.5574","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.5574","created_at":"2026-05-18T03:30:03Z"},{"alias_kind":"arxiv_version","alias_value":"1303.5574v1","created_at":"2026-05-18T03:30:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.5574","created_at":"2026-05-18T03:30:03Z"},{"alias_kind":"pith_short_12","alias_value":"Z55XVPKMQFHR","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"Z55XVPKMQFHRSS4T","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"Z55XVPKM","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:5e07c35660342176b02be90ae95c6df78d9ff915561c65f1fce0c91ba9e12db9","target":"graph","created_at":"2026-05-18T03:30:03Z","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":"For a complex quasi-projective manifold with a finite group action, we define higher order generalized Euler characteristics with values in the Grothendieck ring of complex quasi-projective varieties extended by the rational powers of the class of the affine line. We compute the generating series of generalized Euler characteristics of a fixed order of the Cartesian products of the manifold with the wreath product actions on them.","authors_text":"A. Melle-Hern\\'andez, I. Luengo, S.M. Gusein-Zade","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-03-22T10:31:33Z","title":"Higher order generalized Euler characteristics and generating series"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.5574","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":"sha256:339498bab0ec8f8089741b55c9a8e2d3052c2feccda9bd48cf94f23456bdb54d","target":"record","created_at":"2026-05-18T03:30:03Z","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":"5dd785b411d117fe9e651fe68950afd1b9176192a2ba05f3c090604139d341e8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-03-22T10:31:33Z","title_canon_sha256":"3982166b8a7c80e4dcd4f4e46a8deb1a8042dbc74211ffa3a2694577427ed0a0"},"schema_version":"1.0","source":{"id":"1303.5574","kind":"arxiv","version":1}},"canonical_sha256":"cf7b7abd4c814f194b9366a8add50c0c28f1fdb212f01baafd1d66677f88b672","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf7b7abd4c814f194b9366a8add50c0c28f1fdb212f01baafd1d66677f88b672","first_computed_at":"2026-05-18T03:30:03.804374Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:30:03.804374Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"i8W3s9aFiNAFaq5j4zRJ+m15Qe38C3xi2oIjX1yP+f54A5z9ZQvcrf5n/U2fQFg9vGPNULeVztG5Z4ssCrBxCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:30:03.804905Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.5574","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:339498bab0ec8f8089741b55c9a8e2d3052c2feccda9bd48cf94f23456bdb54d","sha256:5e07c35660342176b02be90ae95c6df78d9ff915561c65f1fce0c91ba9e12db9"],"state_sha256":"9a3d17e3b8b0ed4f29fe150fccf734f5524b70c5ea20407ef71251e040caf43a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zCuvFXnVfRVP3FiATybZZvZqvAExscDiqvpWQyxweY+DpU9Cu6HwkisbL2IcMrErlz8/VcSbW2xqJOR3pUhJCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T22:05:57.729994Z","bundle_sha256":"fcaf886722db8d7befcb52803ac647fe246e1a21fd8ba2c76db4a443e5cedfbd"}}