{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:EYROGPHV6BQTHP4U43V7NWCS5M","short_pith_number":"pith:EYROGPHV","canonical_record":{"source":{"id":"1606.02218","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-06-07T17:08:20Z","cross_cats_sorted":[],"title_canon_sha256":"86a2852944a3d75988031d4d74b86857d3cc286df6f1706a2ccde7eec7f0e7c5","abstract_canon_sha256":"32adc1a20b5e81d052be005740dfd94b01f0c54fcbccd90436111fb8680713b2"},"schema_version":"1.0"},"canonical_sha256":"2622e33cf5f06133bf94e6ebf6d852eb13e6de3a388604f87daaa31ee784bfe1","source":{"kind":"arxiv","id":"1606.02218","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.02218","created_at":"2026-05-18T00:48:09Z"},{"alias_kind":"arxiv_version","alias_value":"1606.02218v3","created_at":"2026-05-18T00:48:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.02218","created_at":"2026-05-18T00:48:09Z"},{"alias_kind":"pith_short_12","alias_value":"EYROGPHV6BQT","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"EYROGPHV6BQTHP4U","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"EYROGPHV","created_at":"2026-05-18T12:30:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:EYROGPHV6BQTHP4U43V7NWCS5M","target":"record","payload":{"canonical_record":{"source":{"id":"1606.02218","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-06-07T17:08:20Z","cross_cats_sorted":[],"title_canon_sha256":"86a2852944a3d75988031d4d74b86857d3cc286df6f1706a2ccde7eec7f0e7c5","abstract_canon_sha256":"32adc1a20b5e81d052be005740dfd94b01f0c54fcbccd90436111fb8680713b2"},"schema_version":"1.0"},"canonical_sha256":"2622e33cf5f06133bf94e6ebf6d852eb13e6de3a388604f87daaa31ee784bfe1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:09.815049Z","signature_b64":"0DU6iB6vVK8UjnrjPc3PHPiiIlRB93dFH62+58zcjJWdtU37QcfeGRXoTY3F9Cec7eDkRe79so26U8X/Rc65Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2622e33cf5f06133bf94e6ebf6d852eb13e6de3a388604f87daaa31ee784bfe1","last_reissued_at":"2026-05-18T00:48:09.814414Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:09.814414Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.02218","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":"2026-05-18T00:48:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8p+nwd07xKihfL1YDI3x2OZYqyuvcyBYI22fB6ESQ/B+QLogOZ/VpNerfu9h2x2h5xzCQoVDTy2s/ULwTfqJDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T03:50:18.621508Z"},"content_sha256":"a6a12bf3b05e92199df6bb30fac446a37b10930d2dc969a8a6c45353303d35d6","schema_version":"1.0","event_id":"sha256:a6a12bf3b05e92199df6bb30fac446a37b10930d2dc969a8a6c45353303d35d6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:EYROGPHV6BQTHP4U43V7NWCS5M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spectral Hirzebruch-Milnor classes of singular hypersurfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Joerg Schuermann, Laurentiu Maxim, Morihiko Saito","submitted_at":"2016-06-07T17:08:20Z","abstract_excerpt":"We introduce spectral Hirzebruch-Milnor classes for singular hypersurfaces. These can be identified with Steenbrink spectra in the isolated singularity case, and may be viewed as their global analogues in general. Their definition uses vanishing cycles of mixed Hodge modules and the Todd class transformation. These are compatible with the pushforward by proper morphisms, and the classes can be calculated by using resolutions of singularities. Formulas for Hirzebruch-Milnor classes of projective hypersurfaces in terms of these classes are given in the case where the multiplicity of a generic hy"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.02218","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":"2026-05-18T00:48:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nGEoWWmemj0fvv5IyMTOeO1r1ZrhsE1NDWc/HDqM5aBLoHqmeXUf4YkVUsIa2VNJ3uMX4cKOU84ZuMw8ho4ODw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T03:50:18.622330Z"},"content_sha256":"262b408f0aaf7f5891092cbf7609938a92b71c591b19bde73179627d49d5faca","schema_version":"1.0","event_id":"sha256:262b408f0aaf7f5891092cbf7609938a92b71c591b19bde73179627d49d5faca"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EYROGPHV6BQTHP4U43V7NWCS5M/bundle.json","state_url":"https://pith.science/pith/EYROGPHV6BQTHP4U43V7NWCS5M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EYROGPHV6BQTHP4U43V7NWCS5M/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":"2026-05-30T03:50:18Z","links":{"resolver":"https://pith.science/pith/EYROGPHV6BQTHP4U43V7NWCS5M","bundle":"https://pith.science/pith/EYROGPHV6BQTHP4U43V7NWCS5M/bundle.json","state":"https://pith.science/pith/EYROGPHV6BQTHP4U43V7NWCS5M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EYROGPHV6BQTHP4U43V7NWCS5M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:EYROGPHV6BQTHP4U43V7NWCS5M","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":"32adc1a20b5e81d052be005740dfd94b01f0c54fcbccd90436111fb8680713b2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-06-07T17:08:20Z","title_canon_sha256":"86a2852944a3d75988031d4d74b86857d3cc286df6f1706a2ccde7eec7f0e7c5"},"schema_version":"1.0","source":{"id":"1606.02218","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.02218","created_at":"2026-05-18T00:48:09Z"},{"alias_kind":"arxiv_version","alias_value":"1606.02218v3","created_at":"2026-05-18T00:48:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.02218","created_at":"2026-05-18T00:48:09Z"},{"alias_kind":"pith_short_12","alias_value":"EYROGPHV6BQT","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"EYROGPHV6BQTHP4U","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"EYROGPHV","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:262b408f0aaf7f5891092cbf7609938a92b71c591b19bde73179627d49d5faca","target":"graph","created_at":"2026-05-18T00:48:09Z","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 introduce spectral Hirzebruch-Milnor classes for singular hypersurfaces. These can be identified with Steenbrink spectra in the isolated singularity case, and may be viewed as their global analogues in general. Their definition uses vanishing cycles of mixed Hodge modules and the Todd class transformation. These are compatible with the pushforward by proper morphisms, and the classes can be calculated by using resolutions of singularities. Formulas for Hirzebruch-Milnor classes of projective hypersurfaces in terms of these classes are given in the case where the multiplicity of a generic hy","authors_text":"Joerg Schuermann, Laurentiu Maxim, Morihiko Saito","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-06-07T17:08:20Z","title":"Spectral Hirzebruch-Milnor classes of singular hypersurfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.02218","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:a6a12bf3b05e92199df6bb30fac446a37b10930d2dc969a8a6c45353303d35d6","target":"record","created_at":"2026-05-18T00:48:09Z","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":"32adc1a20b5e81d052be005740dfd94b01f0c54fcbccd90436111fb8680713b2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-06-07T17:08:20Z","title_canon_sha256":"86a2852944a3d75988031d4d74b86857d3cc286df6f1706a2ccde7eec7f0e7c5"},"schema_version":"1.0","source":{"id":"1606.02218","kind":"arxiv","version":3}},"canonical_sha256":"2622e33cf5f06133bf94e6ebf6d852eb13e6de3a388604f87daaa31ee784bfe1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2622e33cf5f06133bf94e6ebf6d852eb13e6de3a388604f87daaa31ee784bfe1","first_computed_at":"2026-05-18T00:48:09.814414Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:48:09.814414Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0DU6iB6vVK8UjnrjPc3PHPiiIlRB93dFH62+58zcjJWdtU37QcfeGRXoTY3F9Cec7eDkRe79so26U8X/Rc65Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:48:09.815049Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.02218","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a6a12bf3b05e92199df6bb30fac446a37b10930d2dc969a8a6c45353303d35d6","sha256:262b408f0aaf7f5891092cbf7609938a92b71c591b19bde73179627d49d5faca"],"state_sha256":"40b926f62acbf01ea69cd59c36a3c9421950a647d69ec315d3cc3757bbaea49f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cUSABmz2KZy4UQkx1vxgheB0TA4c370ja6Yrr5+eBox0AXPmN8LS/HetAZYXp5/1zCzIRZdBKJOUipEpEgPjDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T03:50:18.625020Z","bundle_sha256":"c530de9aea186314dfa50b53279c6bf039ffc32cebe3947e1c95d2c6ee2c6278"}}