{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:HOROT6SFV6CBSQVRN7B4IBDH5J","short_pith_number":"pith:HOROT6SF","canonical_record":{"source":{"id":"2311.07958","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.AT","submitted_at":"2023-11-14T07:21:17Z","cross_cats_sorted":["math.AG","math.KT"],"title_canon_sha256":"383376f0376f5e8c96bed648b8579dfbe484f713532649bb78e8814cec49a7c7","abstract_canon_sha256":"e62c895d882b2c39df911a841b13043883d86448eaff2bb51b30ef5c9e584db0"},"schema_version":"1.0"},"canonical_sha256":"3ba2e9fa45af841942b16fc3c40467ea731fb4f8a096b1c5e43c024b0b5547a9","source":{"kind":"arxiv","id":"2311.07958","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.07958","created_at":"2026-07-05T10:15:41Z"},{"alias_kind":"arxiv_version","alias_value":"2311.07958v2","created_at":"2026-07-05T10:15:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.07958","created_at":"2026-07-05T10:15:41Z"},{"alias_kind":"pith_short_12","alias_value":"HOROT6SFV6CB","created_at":"2026-07-05T10:15:41Z"},{"alias_kind":"pith_short_16","alias_value":"HOROT6SFV6CBSQVR","created_at":"2026-07-05T10:15:41Z"},{"alias_kind":"pith_short_8","alias_value":"HOROT6SF","created_at":"2026-07-05T10:15:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:HOROT6SFV6CBSQVRN7B4IBDH5J","target":"record","payload":{"canonical_record":{"source":{"id":"2311.07958","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.AT","submitted_at":"2023-11-14T07:21:17Z","cross_cats_sorted":["math.AG","math.KT"],"title_canon_sha256":"383376f0376f5e8c96bed648b8579dfbe484f713532649bb78e8814cec49a7c7","abstract_canon_sha256":"e62c895d882b2c39df911a841b13043883d86448eaff2bb51b30ef5c9e584db0"},"schema_version":"1.0"},"canonical_sha256":"3ba2e9fa45af841942b16fc3c40467ea731fb4f8a096b1c5e43c024b0b5547a9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:15:41.884811Z","signature_b64":"N8PvAA5kKHItJdWAM83/xtoBkOE1pgXIj/4kFxhnnkZr4UVZriGGEweR1H9E5DN/K644utnd19SwSnBQrLXZCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3ba2e9fa45af841942b16fc3c40467ea731fb4f8a096b1c5e43c024b0b5547a9","last_reissued_at":"2026-07-05T10:15:41.884289Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:15:41.884289Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2311.07958","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":"2026-07-05T10:15:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"efvkmqLIVM0rJTasurxkUB9PNotdcMJ1pyRtmClyGL3FfXwPsP11BpV5yJabvU7lLijUT8XcOqfkIG9JSW0CDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T20:56:31.994015Z"},"content_sha256":"cc5907861ade1a8fd2a553e70bddee60b3ddd70580739685faeb78cb1739c803","schema_version":"1.0","event_id":"sha256:cc5907861ade1a8fd2a553e70bddee60b3ddd70580739685faeb78cb1739c803"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:HOROT6SFV6CBSQVRN7B4IBDH5J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Comparing tempered and equivariant elliptic cohomology","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["math.AG","math.KT"],"primary_cat":"math.AT","authors_text":"Jack Morgan Davies","submitted_at":"2023-11-14T07:21:17Z","abstract_excerpt":"Lurie and Gepner--Meier each define equivariant cohomology theories, namely \\emph{tempered cohomology} and \\emph{equivariant elliptic cohomology}, respectively, using derived algebraic geometry. We construct a natural equivalence between these theories where they overlap. Moreover, we emphasise the naturality and coherence of both these equivariant theories as well as our comparison. To demonstrate the use of this comparison, we show that the $G$-fixed points of equivariant topological modular forms is dualisable as a $\\mathrm{TMF}$-module for all compact Lie groups $G$ that decompose as a pro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.07958","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2311.07958/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T10:15:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LAdKcEb4FiY8QBNWR/lFpOEz7mop2mYhubmRHy4IxX5YdzyOkbUu8lNoeCBq1eoAZPuKI5CH/xHFhnQhNgIPBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T20:56:31.994649Z"},"content_sha256":"1894a0afb62b7936d5f62613bc03065e573c9ea2f1b1ce618da877f1490bd909","schema_version":"1.0","event_id":"sha256:1894a0afb62b7936d5f62613bc03065e573c9ea2f1b1ce618da877f1490bd909"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HOROT6SFV6CBSQVRN7B4IBDH5J/bundle.json","state_url":"https://pith.science/pith/HOROT6SFV6CBSQVRN7B4IBDH5J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HOROT6SFV6CBSQVRN7B4IBDH5J/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":"2026-08-04T20:56:31Z","links":{"resolver":"https://pith.science/pith/HOROT6SFV6CBSQVRN7B4IBDH5J","bundle":"https://pith.science/pith/HOROT6SFV6CBSQVRN7B4IBDH5J/bundle.json","state":"https://pith.science/pith/HOROT6SFV6CBSQVRN7B4IBDH5J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HOROT6SFV6CBSQVRN7B4IBDH5J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:HOROT6SFV6CBSQVRN7B4IBDH5J","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":"e62c895d882b2c39df911a841b13043883d86448eaff2bb51b30ef5c9e584db0","cross_cats_sorted":["math.AG","math.KT"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.AT","submitted_at":"2023-11-14T07:21:17Z","title_canon_sha256":"383376f0376f5e8c96bed648b8579dfbe484f713532649bb78e8814cec49a7c7"},"schema_version":"1.0","source":{"id":"2311.07958","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.07958","created_at":"2026-07-05T10:15:41Z"},{"alias_kind":"arxiv_version","alias_value":"2311.07958v2","created_at":"2026-07-05T10:15:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.07958","created_at":"2026-07-05T10:15:41Z"},{"alias_kind":"pith_short_12","alias_value":"HOROT6SFV6CB","created_at":"2026-07-05T10:15:41Z"},{"alias_kind":"pith_short_16","alias_value":"HOROT6SFV6CBSQVR","created_at":"2026-07-05T10:15:41Z"},{"alias_kind":"pith_short_8","alias_value":"HOROT6SF","created_at":"2026-07-05T10:15:41Z"}],"graph_snapshots":[{"event_id":"sha256:1894a0afb62b7936d5f62613bc03065e573c9ea2f1b1ce618da877f1490bd909","target":"graph","created_at":"2026-07-05T10:15:41Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2311.07958/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Lurie and Gepner--Meier each define equivariant cohomology theories, namely \\emph{tempered cohomology} and \\emph{equivariant elliptic cohomology}, respectively, using derived algebraic geometry. We construct a natural equivalence between these theories where they overlap. Moreover, we emphasise the naturality and coherence of both these equivariant theories as well as our comparison. To demonstrate the use of this comparison, we show that the $G$-fixed points of equivariant topological modular forms is dualisable as a $\\mathrm{TMF}$-module for all compact Lie groups $G$ that decompose as a pro","authors_text":"Jack Morgan Davies","cross_cats":["math.AG","math.KT"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.AT","submitted_at":"2023-11-14T07:21:17Z","title":"Comparing tempered and equivariant elliptic cohomology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.07958","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:cc5907861ade1a8fd2a553e70bddee60b3ddd70580739685faeb78cb1739c803","target":"record","created_at":"2026-07-05T10:15:41Z","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":"e62c895d882b2c39df911a841b13043883d86448eaff2bb51b30ef5c9e584db0","cross_cats_sorted":["math.AG","math.KT"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.AT","submitted_at":"2023-11-14T07:21:17Z","title_canon_sha256":"383376f0376f5e8c96bed648b8579dfbe484f713532649bb78e8814cec49a7c7"},"schema_version":"1.0","source":{"id":"2311.07958","kind":"arxiv","version":2}},"canonical_sha256":"3ba2e9fa45af841942b16fc3c40467ea731fb4f8a096b1c5e43c024b0b5547a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3ba2e9fa45af841942b16fc3c40467ea731fb4f8a096b1c5e43c024b0b5547a9","first_computed_at":"2026-07-05T10:15:41.884289Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:15:41.884289Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N8PvAA5kKHItJdWAM83/xtoBkOE1pgXIj/4kFxhnnkZr4UVZriGGEweR1H9E5DN/K644utnd19SwSnBQrLXZCw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:15:41.884811Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.07958","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc5907861ade1a8fd2a553e70bddee60b3ddd70580739685faeb78cb1739c803","sha256:1894a0afb62b7936d5f62613bc03065e573c9ea2f1b1ce618da877f1490bd909"],"state_sha256":"562de0511ff80ffca7ecd13498e213a9fe79f43ccb4604b481d27737d8b64c51"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gYIGCYP+vBBMJfQrU+nZj7BUE3SzG7LySvXxxImK9E4KfioqPJcxou2097H8CAtejju5I3zGlhAQM196NvWMDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T20:56:32.000892Z","bundle_sha256":"4db26e71c12b4b19eee19e3f944ef05a7ce107da81e15e1439efdca01e1c2904"}}