{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:LD5ZOTWA466CVZVYA7TDSFRDSN","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":"23f8ec633c2a1b0e5b392c68d9e7e7ae3a61ca46763289bbc41480ca9677fdd9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2010-06-22T18:44:01Z","title_canon_sha256":"a987591d629974bc40851879df26bd6587fd3d77b66a8d3e2b4cf1500c3fbd38"},"schema_version":"1.0","source":{"id":"1006.4347","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.4347","created_at":"2026-05-18T03:59:25Z"},{"alias_kind":"arxiv_version","alias_value":"1006.4347v2","created_at":"2026-05-18T03:59:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.4347","created_at":"2026-05-18T03:59:25Z"},{"alias_kind":"pith_short_12","alias_value":"LD5ZOTWA466C","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"LD5ZOTWA466CVZVY","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"LD5ZOTWA","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:5a3694316a15ef3579a93d2a954093743c705d7307a60e3da5ef86f3f9d1da7c","target":"graph","created_at":"2026-05-18T03:59:25Z","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":"Let $R$ be an $E_\\infty$-ring spectrum. Given a map $\\zeta$ from a space $X$ to $BGL_1R$, one can construct a Thom spectrum, $X^\\zeta$, which generalises the classical notion of Thom spectrum for spherical fibrations in the case $R=S^0$, the sphere spectrum. If $X$ is a loop space ($\\simeq \\Omega Y$) and $\\zeta$ is homotopy equivalent to $\\Omega f$ for a map $f$ from $Y$ to $B^2GL_1R$, then the Thom spectrum has an $A_\\infty$-ring structure. The Topological Hochschild Homology of these $A_\\infty$-ring spectra is equivalent to the Thom spectrum of a map out of the free loop space of $Y$.\n  This","authors_text":"Samik Basu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2010-06-22T18:44:01Z","title":"Topological Hochschild Homology of $K/p$ as a $K_p^\\wedge$ module"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.4347","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:acd8da6993d0e0f7f3964b6944271857923c0cf745f154d901679c64ba80012a","target":"record","created_at":"2026-05-18T03:59:25Z","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":"23f8ec633c2a1b0e5b392c68d9e7e7ae3a61ca46763289bbc41480ca9677fdd9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2010-06-22T18:44:01Z","title_canon_sha256":"a987591d629974bc40851879df26bd6587fd3d77b66a8d3e2b4cf1500c3fbd38"},"schema_version":"1.0","source":{"id":"1006.4347","kind":"arxiv","version":2}},"canonical_sha256":"58fb974ec0e7bc2ae6b807e6391623936b424fbb578bc8c24b8f4cfce113f943","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"58fb974ec0e7bc2ae6b807e6391623936b424fbb578bc8c24b8f4cfce113f943","first_computed_at":"2026-05-18T03:59:25.797298Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:59:25.797298Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hDtZRJ//Pki6S6YSR+QJgS32/dB3i9v+ZYLoP8Z/SvagJVlnslJJ0GRXqCgHP57/TN/VKftvdBMbgpqa3TsjDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:59:25.797974Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.4347","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:acd8da6993d0e0f7f3964b6944271857923c0cf745f154d901679c64ba80012a","sha256:5a3694316a15ef3579a93d2a954093743c705d7307a60e3da5ef86f3f9d1da7c"],"state_sha256":"646374825427f7f5abc91f8f168b4fd9d01c291fdf273aab9b13097b8f7daa2a"}