{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:I7OZ32FSMGOX7KUQCTVIL3M72L","short_pith_number":"pith:I7OZ32FS","canonical_record":{"source":{"id":"1208.3938","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2012-08-20T08:32:01Z","cross_cats_sorted":[],"title_canon_sha256":"117483af33c51d162469ad101e39c86a5895417606901a5f78d8c089b076e371","abstract_canon_sha256":"6af0c340fecc816f33101160a34d570804f0ea04b7d93b6cd21a7cccbcb868a3"},"schema_version":"1.0"},"canonical_sha256":"47dd9de8b2619d7faa9014ea85ed9fd2e8e8a3d3f93b9c71fb387efa32c3f3a7","source":{"kind":"arxiv","id":"1208.3938","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.3938","created_at":"2026-05-18T03:48:25Z"},{"alias_kind":"arxiv_version","alias_value":"1208.3938v1","created_at":"2026-05-18T03:48:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.3938","created_at":"2026-05-18T03:48:25Z"},{"alias_kind":"pith_short_12","alias_value":"I7OZ32FSMGOX","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"I7OZ32FSMGOX7KUQ","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"I7OZ32FS","created_at":"2026-05-18T12:27:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:I7OZ32FSMGOX7KUQCTVIL3M72L","target":"record","payload":{"canonical_record":{"source":{"id":"1208.3938","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2012-08-20T08:32:01Z","cross_cats_sorted":[],"title_canon_sha256":"117483af33c51d162469ad101e39c86a5895417606901a5f78d8c089b076e371","abstract_canon_sha256":"6af0c340fecc816f33101160a34d570804f0ea04b7d93b6cd21a7cccbcb868a3"},"schema_version":"1.0"},"canonical_sha256":"47dd9de8b2619d7faa9014ea85ed9fd2e8e8a3d3f93b9c71fb387efa32c3f3a7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:48:25.714724Z","signature_b64":"Uw0tqdi/yntst1ceTbqk7JJY8ma08bci7i/hJkgPjZOm2iOWH/TjbZ0PQqz0uozLGccxzqmVodIHWTJBahBACg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"47dd9de8b2619d7faa9014ea85ed9fd2e8e8a3d3f93b9c71fb387efa32c3f3a7","last_reissued_at":"2026-05-18T03:48:25.713852Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:48:25.713852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1208.3938","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":"2026-05-18T03:48:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3Dlat5SN0SQUd//+XHx2lKunWu9H5Kr5UfT/7bi7JETCReHsppMsuXyvAQJdInj1Jz3VfvLX5bxNNoTU9cHbAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T15:09:17.421636Z"},"content_sha256":"9453352f0aeba39386311b509db7425add65280d482a86c348d13cce527006fd","schema_version":"1.0","event_id":"sha256:9453352f0aeba39386311b509db7425add65280d482a86c348d13cce527006fd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:I7OZ32FSMGOX7KUQCTVIL3M72L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A generalization of the stable EHP spectral sequence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Anne Marie Svane, Marcel B\\\"okstedt","submitted_at":"2012-08-20T08:32:01Z","abstract_excerpt":"For any vector bundle, we define an inverse system of spectra. In the case of a trivial bundle over a point, the homotopy groups of the filtration quotients give rise to the stable EHP spectral sequence, as was shown by Mahowald. The limit was determined by Lin. We also obtain a spectral sequence and show strong convergence in certain special cases. For compact base spaces, we obtain a generalization of Lin's theorem. In the case of the universal bundle over BO, we can also determine the limit by means of an Adams spectral sequence. This turns out to be quite different from the compact case. W"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.3938","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":"2026-05-18T03:48:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UGqPAho6Xo70I2I+Kh6SdEh4bRk1oHyUULUvUX26xmB+WNoFVQT4Nj41fsUB2itVb504/xYn6KQB19fSeYFVCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T15:09:17.421976Z"},"content_sha256":"570b9ff0c2bb9336030556df7b0ef88c22e717879574709f393d7cd21481e756","schema_version":"1.0","event_id":"sha256:570b9ff0c2bb9336030556df7b0ef88c22e717879574709f393d7cd21481e756"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I7OZ32FSMGOX7KUQCTVIL3M72L/bundle.json","state_url":"https://pith.science/pith/I7OZ32FSMGOX7KUQCTVIL3M72L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I7OZ32FSMGOX7KUQCTVIL3M72L/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":"2026-06-23T15:09:17Z","links":{"resolver":"https://pith.science/pith/I7OZ32FSMGOX7KUQCTVIL3M72L","bundle":"https://pith.science/pith/I7OZ32FSMGOX7KUQCTVIL3M72L/bundle.json","state":"https://pith.science/pith/I7OZ32FSMGOX7KUQCTVIL3M72L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I7OZ32FSMGOX7KUQCTVIL3M72L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:I7OZ32FSMGOX7KUQCTVIL3M72L","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":"6af0c340fecc816f33101160a34d570804f0ea04b7d93b6cd21a7cccbcb868a3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2012-08-20T08:32:01Z","title_canon_sha256":"117483af33c51d162469ad101e39c86a5895417606901a5f78d8c089b076e371"},"schema_version":"1.0","source":{"id":"1208.3938","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.3938","created_at":"2026-05-18T03:48:25Z"},{"alias_kind":"arxiv_version","alias_value":"1208.3938v1","created_at":"2026-05-18T03:48:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.3938","created_at":"2026-05-18T03:48:25Z"},{"alias_kind":"pith_short_12","alias_value":"I7OZ32FSMGOX","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"I7OZ32FSMGOX7KUQ","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"I7OZ32FS","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:570b9ff0c2bb9336030556df7b0ef88c22e717879574709f393d7cd21481e756","target":"graph","created_at":"2026-05-18T03:48:25Z","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 any vector bundle, we define an inverse system of spectra. In the case of a trivial bundle over a point, the homotopy groups of the filtration quotients give rise to the stable EHP spectral sequence, as was shown by Mahowald. The limit was determined by Lin. We also obtain a spectral sequence and show strong convergence in certain special cases. For compact base spaces, we obtain a generalization of Lin's theorem. In the case of the universal bundle over BO, we can also determine the limit by means of an Adams spectral sequence. This turns out to be quite different from the compact case. W","authors_text":"Anne Marie Svane, Marcel B\\\"okstedt","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2012-08-20T08:32:01Z","title":"A generalization of the stable EHP spectral sequence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.3938","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":"sha256:9453352f0aeba39386311b509db7425add65280d482a86c348d13cce527006fd","target":"record","created_at":"2026-05-18T03:48:25Z","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":"6af0c340fecc816f33101160a34d570804f0ea04b7d93b6cd21a7cccbcb868a3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2012-08-20T08:32:01Z","title_canon_sha256":"117483af33c51d162469ad101e39c86a5895417606901a5f78d8c089b076e371"},"schema_version":"1.0","source":{"id":"1208.3938","kind":"arxiv","version":1}},"canonical_sha256":"47dd9de8b2619d7faa9014ea85ed9fd2e8e8a3d3f93b9c71fb387efa32c3f3a7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"47dd9de8b2619d7faa9014ea85ed9fd2e8e8a3d3f93b9c71fb387efa32c3f3a7","first_computed_at":"2026-05-18T03:48:25.713852Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:48:25.713852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Uw0tqdi/yntst1ceTbqk7JJY8ma08bci7i/hJkgPjZOm2iOWH/TjbZ0PQqz0uozLGccxzqmVodIHWTJBahBACg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:48:25.714724Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.3938","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9453352f0aeba39386311b509db7425add65280d482a86c348d13cce527006fd","sha256:570b9ff0c2bb9336030556df7b0ef88c22e717879574709f393d7cd21481e756"],"state_sha256":"e010792d4afc746e12401432c63255d7dd8c1bc92ee7fed32b94075adfacd8f9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d2/CQKquk1yQ9nQNQ6Sh5TYyyI3KPuDkMAMed8uLWFhIhab8rmjfQjarvpwCKg+aB8177K/xk5VfcqAZXezaBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T15:09:17.423821Z","bundle_sha256":"403989ddf21f92bbf329abfd12515cd44f69358354e55b46d22df948091e3809"}}