{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:CUA5QGFTIVOI6SKDAWY6TKO233","short_pith_number":"pith:CUA5QGFT","canonical_record":{"source":{"id":"1707.00770","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-07-03T22:03:12Z","cross_cats_sorted":["math.AC"],"title_canon_sha256":"a3220a8f2e3a2dfae039727b863fce8927e9b75701efc777705968885e9c849e","abstract_canon_sha256":"7bb3a329ebbc689137b245e1560860e6a6bc234e0a45c8e870c572a415682690"},"schema_version":"1.0"},"canonical_sha256":"1501d818b3455c8f494305b1e9a9dadec4bf673c0f2e6cf1af75d67dd44d55a7","source":{"kind":"arxiv","id":"1707.00770","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.00770","created_at":"2026-05-18T00:16:36Z"},{"alias_kind":"arxiv_version","alias_value":"1707.00770v1","created_at":"2026-05-18T00:16:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.00770","created_at":"2026-05-18T00:16:36Z"},{"alias_kind":"pith_short_12","alias_value":"CUA5QGFTIVOI","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CUA5QGFTIVOI6SKD","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CUA5QGFT","created_at":"2026-05-18T12:31:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:CUA5QGFTIVOI6SKDAWY6TKO233","target":"record","payload":{"canonical_record":{"source":{"id":"1707.00770","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-07-03T22:03:12Z","cross_cats_sorted":["math.AC"],"title_canon_sha256":"a3220a8f2e3a2dfae039727b863fce8927e9b75701efc777705968885e9c849e","abstract_canon_sha256":"7bb3a329ebbc689137b245e1560860e6a6bc234e0a45c8e870c572a415682690"},"schema_version":"1.0"},"canonical_sha256":"1501d818b3455c8f494305b1e9a9dadec4bf673c0f2e6cf1af75d67dd44d55a7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:36.912732Z","signature_b64":"f++XQSjua3kRlVkz+F9KtAyf+A/sOhRZ5tgXWmEVmswVqCnd/LwkBXipN5mZQPT8d0XC97z8PI8iMSwf1cWiBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1501d818b3455c8f494305b1e9a9dadec4bf673c0f2e6cf1af75d67dd44d55a7","last_reissued_at":"2026-05-18T00:16:36.912288Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:36.912288Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.00770","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":"2026-05-18T00:16:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hk/DkW/i5Uvd/hOltWV0t8kbe0xF3fC5qbd5awNntqQoxl9nhorc8MP2mUrVEz9N9xMAWujKawFdbv7tg2ASAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T08:54:17.504843Z"},"content_sha256":"2b9f1f32462f2ee3c89a908b6a927a4c127f96d7427361458b161de6e2ca9455","schema_version":"1.0","event_id":"sha256:2b9f1f32462f2ee3c89a908b6a927a4c127f96d7427361458b161de6e2ca9455"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:CUA5QGFTIVOI6SKDAWY6TKO233","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Noetherian properties in representation theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC"],"primary_cat":"math.RT","authors_text":"Steven V Sam","submitted_at":"2017-07-03T22:03:12Z","abstract_excerpt":"The goal of this expository article, based on a lecture I gave at the 2016 ICRA, is to explain some recent applications of \"categorical symmetries\" in topology and algebraic geometry with an eye toward twisted commutative algebras as a unifying framework. The general idea is to find an action of a category on the object of interest, prove some niceness property, like finite generation, and then deduce consequences from the general properties of the category. The key in these cases is to prove that the representation theory of this category is locally noetherian, and we will discuss an outline "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.00770","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":"2026-05-18T00:16:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qxRyn6Tj3XFNPIFiUbszPIsZSUcoeSM6XzqfoJ9kaYOYn1aG20uBGbAPklz5tk/r3KJkXGbLRemRp4QPTeo5BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T08:54:17.505175Z"},"content_sha256":"a5a3bfe76f1e6c84da6eeb47592b648a4d7cb929037c33b2eda50088a785a387","schema_version":"1.0","event_id":"sha256:a5a3bfe76f1e6c84da6eeb47592b648a4d7cb929037c33b2eda50088a785a387"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CUA5QGFTIVOI6SKDAWY6TKO233/bundle.json","state_url":"https://pith.science/pith/CUA5QGFTIVOI6SKDAWY6TKO233/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CUA5QGFTIVOI6SKDAWY6TKO233/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":"2026-07-05T08:54:17Z","links":{"resolver":"https://pith.science/pith/CUA5QGFTIVOI6SKDAWY6TKO233","bundle":"https://pith.science/pith/CUA5QGFTIVOI6SKDAWY6TKO233/bundle.json","state":"https://pith.science/pith/CUA5QGFTIVOI6SKDAWY6TKO233/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CUA5QGFTIVOI6SKDAWY6TKO233/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:CUA5QGFTIVOI6SKDAWY6TKO233","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":"7bb3a329ebbc689137b245e1560860e6a6bc234e0a45c8e870c572a415682690","cross_cats_sorted":["math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-07-03T22:03:12Z","title_canon_sha256":"a3220a8f2e3a2dfae039727b863fce8927e9b75701efc777705968885e9c849e"},"schema_version":"1.0","source":{"id":"1707.00770","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.00770","created_at":"2026-05-18T00:16:36Z"},{"alias_kind":"arxiv_version","alias_value":"1707.00770v1","created_at":"2026-05-18T00:16:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.00770","created_at":"2026-05-18T00:16:36Z"},{"alias_kind":"pith_short_12","alias_value":"CUA5QGFTIVOI","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CUA5QGFTIVOI6SKD","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CUA5QGFT","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:a5a3bfe76f1e6c84da6eeb47592b648a4d7cb929037c33b2eda50088a785a387","target":"graph","created_at":"2026-05-18T00:16:36Z","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":"The goal of this expository article, based on a lecture I gave at the 2016 ICRA, is to explain some recent applications of \"categorical symmetries\" in topology and algebraic geometry with an eye toward twisted commutative algebras as a unifying framework. The general idea is to find an action of a category on the object of interest, prove some niceness property, like finite generation, and then deduce consequences from the general properties of the category. The key in these cases is to prove that the representation theory of this category is locally noetherian, and we will discuss an outline ","authors_text":"Steven V Sam","cross_cats":["math.AC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-07-03T22:03:12Z","title":"Noetherian properties in representation theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.00770","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":"sha256:2b9f1f32462f2ee3c89a908b6a927a4c127f96d7427361458b161de6e2ca9455","target":"record","created_at":"2026-05-18T00:16:36Z","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":"7bb3a329ebbc689137b245e1560860e6a6bc234e0a45c8e870c572a415682690","cross_cats_sorted":["math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-07-03T22:03:12Z","title_canon_sha256":"a3220a8f2e3a2dfae039727b863fce8927e9b75701efc777705968885e9c849e"},"schema_version":"1.0","source":{"id":"1707.00770","kind":"arxiv","version":1}},"canonical_sha256":"1501d818b3455c8f494305b1e9a9dadec4bf673c0f2e6cf1af75d67dd44d55a7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1501d818b3455c8f494305b1e9a9dadec4bf673c0f2e6cf1af75d67dd44d55a7","first_computed_at":"2026-05-18T00:16:36.912288Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:36.912288Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f++XQSjua3kRlVkz+F9KtAyf+A/sOhRZ5tgXWmEVmswVqCnd/LwkBXipN5mZQPT8d0XC97z8PI8iMSwf1cWiBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:36.912732Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.00770","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2b9f1f32462f2ee3c89a908b6a927a4c127f96d7427361458b161de6e2ca9455","sha256:a5a3bfe76f1e6c84da6eeb47592b648a4d7cb929037c33b2eda50088a785a387"],"state_sha256":"18fbc63f4ffefaad6b4bd4fd34bba6fc9005dbe80fce15f77dacec7a7131f294"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q2ku0DqP0XY8dq0yG3qEPzXlb5Hn1frMZPAeLCxqrPVbqY0Ee0kT8gqz/d1LvAegzsut2tzi8ud76g7PvyMzCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T08:54:17.506969Z","bundle_sha256":"f42c1efdde74b1337280e612bcdd0636e7431c5658743289b52410fd976ceeca"}}