{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:TLDCJUIXPCGI7EXDFGUOCNVXEP","short_pith_number":"pith:TLDCJUIX","canonical_record":{"source":{"id":"1302.0092","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-02-01T06:29:58Z","cross_cats_sorted":[],"title_canon_sha256":"586b6d8d3cef8b669fe2f052a643db88f3685791a476d9fa52a49c1719453725","abstract_canon_sha256":"d7e750d1537453fb6923b44a4feb52ccdf7d54cae04c471e8e88ab5706935987"},"schema_version":"1.0"},"canonical_sha256":"9ac624d117788c8f92e329a8e136b723c29f0965e895d5adc37936aa09dbc8a1","source":{"kind":"arxiv","id":"1302.0092","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.0092","created_at":"2026-05-18T03:27:13Z"},{"alias_kind":"arxiv_version","alias_value":"1302.0092v2","created_at":"2026-05-18T03:27:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.0092","created_at":"2026-05-18T03:27:13Z"},{"alias_kind":"pith_short_12","alias_value":"TLDCJUIXPCGI","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"TLDCJUIXPCGI7EXD","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"TLDCJUIX","created_at":"2026-05-18T12:28:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:TLDCJUIXPCGI7EXDFGUOCNVXEP","target":"record","payload":{"canonical_record":{"source":{"id":"1302.0092","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-02-01T06:29:58Z","cross_cats_sorted":[],"title_canon_sha256":"586b6d8d3cef8b669fe2f052a643db88f3685791a476d9fa52a49c1719453725","abstract_canon_sha256":"d7e750d1537453fb6923b44a4feb52ccdf7d54cae04c471e8e88ab5706935987"},"schema_version":"1.0"},"canonical_sha256":"9ac624d117788c8f92e329a8e136b723c29f0965e895d5adc37936aa09dbc8a1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:27:13.500898Z","signature_b64":"8ErHhtXmoIkW6JQF3VXkG3xcuv/4bQ3CoGRQQhMebQJiSUh0gjok5SLUWu9ehzhE4HzrIy4rI12F6DB75h8nDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9ac624d117788c8f92e329a8e136b723c29f0965e895d5adc37936aa09dbc8a1","last_reissued_at":"2026-05-18T03:27:13.500111Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:27:13.500111Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1302.0092","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:27:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9IaB9JfhfRBjzX2Q/0kzJ44ha8mgW9L6BkT+BTGKJw/rP8IYce2/91SZJJXiluJ9q9wAUfLQwhkoHanjevA2BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T11:28:41.147093Z"},"content_sha256":"31f7469181fc38e248dd8c9bee1d6a82c914ca6a33e311a20bef18fb4750c914","schema_version":"1.0","event_id":"sha256:31f7469181fc38e248dd8c9bee1d6a82c914ca6a33e311a20bef18fb4750c914"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:TLDCJUIXPCGI7EXDFGUOCNVXEP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quadric invariants and degeneration in smooth-etale cohomology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Nitin Nitsure, Saurav Bhaumik","submitted_at":"2013-02-01T06:29:58Z","abstract_excerpt":"For a regular pair $(X,Y)$ of schemes of pure codimension 1 on which 2 is invertible, we consider quadric bundles on $X$ which are nondegenerate on $X-Y$, but are minimally degenerate on $Y$. We give a formula for the behaviour of the cohomological invariants (characteristic classes) of the nondegenerate quadric bundle on $X-Y$ under the Gysin boundary map to the etale cohomology of $Y$ with mod 2 coefficients.\n  The results here are the algebro-geometric analogs of topological results for complex bundles proved earlier by Holla and Nitsure, continuing further the algebraization program which "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.0092","kind":"arxiv","version":2},"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":"2026-05-18T03:27:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e51uoYE8avYKkiNf/bGNoXpZfTDPgY80O/wDUhUq6e/xH38x9VCt+MLJ80IZrDcYHo9ffRAuFdgzUKvr33vlBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T11:28:41.147749Z"},"content_sha256":"fb7d1d97850117795fb5cf905b52b503734e00f8b6c53a95750048f8fa8195c8","schema_version":"1.0","event_id":"sha256:fb7d1d97850117795fb5cf905b52b503734e00f8b6c53a95750048f8fa8195c8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TLDCJUIXPCGI7EXDFGUOCNVXEP/bundle.json","state_url":"https://pith.science/pith/TLDCJUIXPCGI7EXDFGUOCNVXEP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TLDCJUIXPCGI7EXDFGUOCNVXEP/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":"2026-05-22T11:28:41Z","links":{"resolver":"https://pith.science/pith/TLDCJUIXPCGI7EXDFGUOCNVXEP","bundle":"https://pith.science/pith/TLDCJUIXPCGI7EXDFGUOCNVXEP/bundle.json","state":"https://pith.science/pith/TLDCJUIXPCGI7EXDFGUOCNVXEP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TLDCJUIXPCGI7EXDFGUOCNVXEP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:TLDCJUIXPCGI7EXDFGUOCNVXEP","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":"d7e750d1537453fb6923b44a4feb52ccdf7d54cae04c471e8e88ab5706935987","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-02-01T06:29:58Z","title_canon_sha256":"586b6d8d3cef8b669fe2f052a643db88f3685791a476d9fa52a49c1719453725"},"schema_version":"1.0","source":{"id":"1302.0092","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.0092","created_at":"2026-05-18T03:27:13Z"},{"alias_kind":"arxiv_version","alias_value":"1302.0092v2","created_at":"2026-05-18T03:27:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.0092","created_at":"2026-05-18T03:27:13Z"},{"alias_kind":"pith_short_12","alias_value":"TLDCJUIXPCGI","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"TLDCJUIXPCGI7EXD","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"TLDCJUIX","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:fb7d1d97850117795fb5cf905b52b503734e00f8b6c53a95750048f8fa8195c8","target":"graph","created_at":"2026-05-18T03:27:13Z","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 regular pair $(X,Y)$ of schemes of pure codimension 1 on which 2 is invertible, we consider quadric bundles on $X$ which are nondegenerate on $X-Y$, but are minimally degenerate on $Y$. We give a formula for the behaviour of the cohomological invariants (characteristic classes) of the nondegenerate quadric bundle on $X-Y$ under the Gysin boundary map to the etale cohomology of $Y$ with mod 2 coefficients.\n  The results here are the algebro-geometric analogs of topological results for complex bundles proved earlier by Holla and Nitsure, continuing further the algebraization program which ","authors_text":"Nitin Nitsure, Saurav Bhaumik","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-02-01T06:29:58Z","title":"Quadric invariants and degeneration in smooth-etale cohomology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.0092","kind":"arxiv","version":2},"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":"sha256:31f7469181fc38e248dd8c9bee1d6a82c914ca6a33e311a20bef18fb4750c914","target":"record","created_at":"2026-05-18T03:27:13Z","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":"d7e750d1537453fb6923b44a4feb52ccdf7d54cae04c471e8e88ab5706935987","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-02-01T06:29:58Z","title_canon_sha256":"586b6d8d3cef8b669fe2f052a643db88f3685791a476d9fa52a49c1719453725"},"schema_version":"1.0","source":{"id":"1302.0092","kind":"arxiv","version":2}},"canonical_sha256":"9ac624d117788c8f92e329a8e136b723c29f0965e895d5adc37936aa09dbc8a1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ac624d117788c8f92e329a8e136b723c29f0965e895d5adc37936aa09dbc8a1","first_computed_at":"2026-05-18T03:27:13.500111Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:27:13.500111Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8ErHhtXmoIkW6JQF3VXkG3xcuv/4bQ3CoGRQQhMebQJiSUh0gjok5SLUWu9ehzhE4HzrIy4rI12F6DB75h8nDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:27:13.500898Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.0092","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:31f7469181fc38e248dd8c9bee1d6a82c914ca6a33e311a20bef18fb4750c914","sha256:fb7d1d97850117795fb5cf905b52b503734e00f8b6c53a95750048f8fa8195c8"],"state_sha256":"c559e2667f4455ff21802b6d6ebef7c867dac96373ee87bb690b543bc83539e3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0RognrLl4VhlXZ8KyH7yCgmdnWatBiuqZdrH3rCMVpjM63B+JqHmIxpSXFI4RrbSrXV4nJKTPovFyA/7TeRqCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T11:28:41.151164Z","bundle_sha256":"408c9ba938b2401cb5ab3cf6b47bebb1d2911e500758c13a261cf12c6d1af573"}}