{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:JUYXRSBIVNIPG3MGKYDVKA7JPB","short_pith_number":"pith:JUYXRSBI","canonical_record":{"source":{"id":"1501.06925","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-01-27T21:07:06Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"2c655c356bcef366a88c5bcf885ab97cd1e7b802b30b4377db0e3c4f27568803","abstract_canon_sha256":"906b121c25235bc35209b8c48094de941ef01a81b0a11f9c025472acec5889b1"},"schema_version":"1.0"},"canonical_sha256":"4d3178c828ab50f36d8656075503e9784f1f1ecdb24dd03685653d7600d4a54a","source":{"kind":"arxiv","id":"1501.06925","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.06925","created_at":"2026-05-18T01:18:25Z"},{"alias_kind":"arxiv_version","alias_value":"1501.06925v2","created_at":"2026-05-18T01:18:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.06925","created_at":"2026-05-18T01:18:25Z"},{"alias_kind":"pith_short_12","alias_value":"JUYXRSBIVNIP","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JUYXRSBIVNIPG3MG","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JUYXRSBI","created_at":"2026-05-18T12:29:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:JUYXRSBIVNIPG3MGKYDVKA7JPB","target":"record","payload":{"canonical_record":{"source":{"id":"1501.06925","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-01-27T21:07:06Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"2c655c356bcef366a88c5bcf885ab97cd1e7b802b30b4377db0e3c4f27568803","abstract_canon_sha256":"906b121c25235bc35209b8c48094de941ef01a81b0a11f9c025472acec5889b1"},"schema_version":"1.0"},"canonical_sha256":"4d3178c828ab50f36d8656075503e9784f1f1ecdb24dd03685653d7600d4a54a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:25.597032Z","signature_b64":"hyLa7jzeyecfG6QSbffOhYtUSWp/hs8xfWGUDLRuy4wxQtqF4VNW8vGY9rlEI2KvNiLAL/DvulTshULzkpHgAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4d3178c828ab50f36d8656075503e9784f1f1ecdb24dd03685653d7600d4a54a","last_reissued_at":"2026-05-18T01:18:25.596580Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:25.596580Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.06925","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":"2026-05-18T01:18:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Rx8zDmpt8Wp8exZniov6+KckkD1FZ6rQ5TP+DY1D39RHPaUL6kdcZ/5iXVTvkkVKWatxEr4H+GTOG1iCzgEWBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T10:47:19.539520Z"},"content_sha256":"00a8a9cc768d700517f8303fd9ae0bcbc7b4e6a83daa886c19fee5b1b07158a1","schema_version":"1.0","event_id":"sha256:00a8a9cc768d700517f8303fd9ae0bcbc7b4e6a83daa886c19fee5b1b07158a1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:JUYXRSBIVNIPG3MGKYDVKA7JPB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Noetherianity of some degree two twisted commutative algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.AC","authors_text":"Andrew Snowden, Rohit Nagpal, Steven V Sam","submitted_at":"2015-01-27T21:07:06Z","abstract_excerpt":"In recent years, researchers have discovered various large algebraic structures that have surprising finiteness properties, such as FI-modules and Delta-modules. In this paper, we add another example to the growing list: we show that certain degree two twisted commutative algebras are noetherian. This example appears to have some fundamental differences from previous examples, and is therefore especially interesting. Reflective of this, our proof introduces new methods for establishing noetherianity that are likely to be applicable in other situations. The algebras considered in this paper are"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.06925","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":"2026-05-18T01:18:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hZ4GDKwlJWhwN4p6oBHhRtVcDTqKY8FUGH9etF67YQ9/jcW/WmiZeDgP4SdoXORzd2VvpDcCdRpsNyIuLAufAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T10:47:19.539859Z"},"content_sha256":"2480359b23d14d03bcc1a68dca06a1d2b2f714b47dabae0436a04d8fc6aaef1b","schema_version":"1.0","event_id":"sha256:2480359b23d14d03bcc1a68dca06a1d2b2f714b47dabae0436a04d8fc6aaef1b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JUYXRSBIVNIPG3MGKYDVKA7JPB/bundle.json","state_url":"https://pith.science/pith/JUYXRSBIVNIPG3MGKYDVKA7JPB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JUYXRSBIVNIPG3MGKYDVKA7JPB/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":"2026-07-03T10:47:19Z","links":{"resolver":"https://pith.science/pith/JUYXRSBIVNIPG3MGKYDVKA7JPB","bundle":"https://pith.science/pith/JUYXRSBIVNIPG3MGKYDVKA7JPB/bundle.json","state":"https://pith.science/pith/JUYXRSBIVNIPG3MGKYDVKA7JPB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JUYXRSBIVNIPG3MGKYDVKA7JPB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:JUYXRSBIVNIPG3MGKYDVKA7JPB","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":"906b121c25235bc35209b8c48094de941ef01a81b0a11f9c025472acec5889b1","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-01-27T21:07:06Z","title_canon_sha256":"2c655c356bcef366a88c5bcf885ab97cd1e7b802b30b4377db0e3c4f27568803"},"schema_version":"1.0","source":{"id":"1501.06925","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.06925","created_at":"2026-05-18T01:18:25Z"},{"alias_kind":"arxiv_version","alias_value":"1501.06925v2","created_at":"2026-05-18T01:18:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.06925","created_at":"2026-05-18T01:18:25Z"},{"alias_kind":"pith_short_12","alias_value":"JUYXRSBIVNIP","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JUYXRSBIVNIPG3MG","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JUYXRSBI","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:2480359b23d14d03bcc1a68dca06a1d2b2f714b47dabae0436a04d8fc6aaef1b","target":"graph","created_at":"2026-05-18T01:18:25Z","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":"In recent years, researchers have discovered various large algebraic structures that have surprising finiteness properties, such as FI-modules and Delta-modules. In this paper, we add another example to the growing list: we show that certain degree two twisted commutative algebras are noetherian. This example appears to have some fundamental differences from previous examples, and is therefore especially interesting. Reflective of this, our proof introduces new methods for establishing noetherianity that are likely to be applicable in other situations. The algebras considered in this paper are","authors_text":"Andrew Snowden, Rohit Nagpal, Steven V Sam","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-01-27T21:07:06Z","title":"Noetherianity of some degree two twisted commutative algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.06925","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":"sha256:00a8a9cc768d700517f8303fd9ae0bcbc7b4e6a83daa886c19fee5b1b07158a1","target":"record","created_at":"2026-05-18T01:18:25Z","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":"906b121c25235bc35209b8c48094de941ef01a81b0a11f9c025472acec5889b1","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-01-27T21:07:06Z","title_canon_sha256":"2c655c356bcef366a88c5bcf885ab97cd1e7b802b30b4377db0e3c4f27568803"},"schema_version":"1.0","source":{"id":"1501.06925","kind":"arxiv","version":2}},"canonical_sha256":"4d3178c828ab50f36d8656075503e9784f1f1ecdb24dd03685653d7600d4a54a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4d3178c828ab50f36d8656075503e9784f1f1ecdb24dd03685653d7600d4a54a","first_computed_at":"2026-05-18T01:18:25.596580Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:25.596580Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hyLa7jzeyecfG6QSbffOhYtUSWp/hs8xfWGUDLRuy4wxQtqF4VNW8vGY9rlEI2KvNiLAL/DvulTshULzkpHgAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:25.597032Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.06925","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:00a8a9cc768d700517f8303fd9ae0bcbc7b4e6a83daa886c19fee5b1b07158a1","sha256:2480359b23d14d03bcc1a68dca06a1d2b2f714b47dabae0436a04d8fc6aaef1b"],"state_sha256":"623e8655d786e23d10779b50a6de9ece52d207e28bd6d42536c28df7d6c1a06c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c552vL1Zd1vwtgT+h9m8uZjEDZ3F3lMEb+KxkNSWYY4yisw7U0Pb4dtJztxFhpr31qLRtJ6spo15cAzwNDpxBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T10:47:19.541710Z","bundle_sha256":"0d9d8196e68c36dc604dbbf24da2827da859f3dd49c9a81812596fa84b6a131a"}}