{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:ISOGF5YQXRFNMFPKW22K5PUVDS","short_pith_number":"pith:ISOGF5YQ","canonical_record":{"source":{"id":"1411.6985","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2014-11-25T19:41:07Z","cross_cats_sorted":[],"title_canon_sha256":"f69b4f0bbf1d79005fddad61ad792b5b51ede32bb0d3fb2c5c3e991d99a580fe","abstract_canon_sha256":"27730dfe8fd6ffebf9b6f9000517e676888a7ece0d7cd33cd9192b0ebdd341ac"},"schema_version":"1.0"},"canonical_sha256":"449c62f710bc4ad615eab6b4aebe951cbda9e27b253e63f4f1e69fe923decb8e","source":{"kind":"arxiv","id":"1411.6985","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.6985","created_at":"2026-05-18T02:32:46Z"},{"alias_kind":"arxiv_version","alias_value":"1411.6985v1","created_at":"2026-05-18T02:32:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.6985","created_at":"2026-05-18T02:32:46Z"},{"alias_kind":"pith_short_12","alias_value":"ISOGF5YQXRFN","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"ISOGF5YQXRFNMFPK","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"ISOGF5YQ","created_at":"2026-05-18T12:28:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:ISOGF5YQXRFNMFPKW22K5PUVDS","target":"record","payload":{"canonical_record":{"source":{"id":"1411.6985","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2014-11-25T19:41:07Z","cross_cats_sorted":[],"title_canon_sha256":"f69b4f0bbf1d79005fddad61ad792b5b51ede32bb0d3fb2c5c3e991d99a580fe","abstract_canon_sha256":"27730dfe8fd6ffebf9b6f9000517e676888a7ece0d7cd33cd9192b0ebdd341ac"},"schema_version":"1.0"},"canonical_sha256":"449c62f710bc4ad615eab6b4aebe951cbda9e27b253e63f4f1e69fe923decb8e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:46.819618Z","signature_b64":"V85kW0EHfFF24fR6Mt1/0PUs7I4xbZ0M3fiqQ/O/VDQAD3eQStYRmPqZXCERawkU7xZPWK7ioxE0tF7EtMnSBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"449c62f710bc4ad615eab6b4aebe951cbda9e27b253e63f4f1e69fe923decb8e","last_reissued_at":"2026-05-18T02:32:46.819026Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:46.819026Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.6985","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":"2026-05-18T02:32:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VymC0UbEoG1MKLLdYs0sRz4ONA6hKr124TzkguaLcaxyMT1JZZhllPuEAlEkUY1k4c8iPIH6aMK2I8HFO3t2AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T17:33:47.941769Z"},"content_sha256":"7dee34d6bf31b5474b061069ba384e18863adf0826a22e1f8254aa43269703ca","schema_version":"1.0","event_id":"sha256:7dee34d6bf31b5474b061069ba384e18863adf0826a22e1f8254aa43269703ca"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:ISOGF5YQXRFNMFPKW22K5PUVDS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Semidualizing DG Modules over Tensor Products","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Hannah Altmann","submitted_at":"2014-11-25T19:41:07Z","abstract_excerpt":"We study the existence of nontrivial semidualizing DG modules over tensor products of DG algebras over a field. In particular, this gives a lower bound on the number of semidualizing DG modules over the tensor product."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.6985","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":"2026-05-18T02:32:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EJ+4LVzK2NT5ob1X0TJNywLjMG7DEwTMWJRhNpn7yzjDHq++olpgFCNJjkCvxmFleLo2y4rtfSSxe8wc61DQDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T17:33:47.942107Z"},"content_sha256":"d26a082ea8cfebd1c8e30a27c20d1bb14658d212a60970700bc1e5e1a328e002","schema_version":"1.0","event_id":"sha256:d26a082ea8cfebd1c8e30a27c20d1bb14658d212a60970700bc1e5e1a328e002"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ISOGF5YQXRFNMFPKW22K5PUVDS/bundle.json","state_url":"https://pith.science/pith/ISOGF5YQXRFNMFPKW22K5PUVDS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ISOGF5YQXRFNMFPKW22K5PUVDS/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":"2026-06-24T17:33:47Z","links":{"resolver":"https://pith.science/pith/ISOGF5YQXRFNMFPKW22K5PUVDS","bundle":"https://pith.science/pith/ISOGF5YQXRFNMFPKW22K5PUVDS/bundle.json","state":"https://pith.science/pith/ISOGF5YQXRFNMFPKW22K5PUVDS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ISOGF5YQXRFNMFPKW22K5PUVDS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ISOGF5YQXRFNMFPKW22K5PUVDS","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":"27730dfe8fd6ffebf9b6f9000517e676888a7ece0d7cd33cd9192b0ebdd341ac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2014-11-25T19:41:07Z","title_canon_sha256":"f69b4f0bbf1d79005fddad61ad792b5b51ede32bb0d3fb2c5c3e991d99a580fe"},"schema_version":"1.0","source":{"id":"1411.6985","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.6985","created_at":"2026-05-18T02:32:46Z"},{"alias_kind":"arxiv_version","alias_value":"1411.6985v1","created_at":"2026-05-18T02:32:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.6985","created_at":"2026-05-18T02:32:46Z"},{"alias_kind":"pith_short_12","alias_value":"ISOGF5YQXRFN","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"ISOGF5YQXRFNMFPK","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"ISOGF5YQ","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:d26a082ea8cfebd1c8e30a27c20d1bb14658d212a60970700bc1e5e1a328e002","target":"graph","created_at":"2026-05-18T02:32:46Z","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":"We study the existence of nontrivial semidualizing DG modules over tensor products of DG algebras over a field. In particular, this gives a lower bound on the number of semidualizing DG modules over the tensor product.","authors_text":"Hannah Altmann","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2014-11-25T19:41:07Z","title":"Semidualizing DG Modules over Tensor Products"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.6985","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":"sha256:7dee34d6bf31b5474b061069ba384e18863adf0826a22e1f8254aa43269703ca","target":"record","created_at":"2026-05-18T02:32:46Z","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":"27730dfe8fd6ffebf9b6f9000517e676888a7ece0d7cd33cd9192b0ebdd341ac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2014-11-25T19:41:07Z","title_canon_sha256":"f69b4f0bbf1d79005fddad61ad792b5b51ede32bb0d3fb2c5c3e991d99a580fe"},"schema_version":"1.0","source":{"id":"1411.6985","kind":"arxiv","version":1}},"canonical_sha256":"449c62f710bc4ad615eab6b4aebe951cbda9e27b253e63f4f1e69fe923decb8e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"449c62f710bc4ad615eab6b4aebe951cbda9e27b253e63f4f1e69fe923decb8e","first_computed_at":"2026-05-18T02:32:46.819026Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:46.819026Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V85kW0EHfFF24fR6Mt1/0PUs7I4xbZ0M3fiqQ/O/VDQAD3eQStYRmPqZXCERawkU7xZPWK7ioxE0tF7EtMnSBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:46.819618Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.6985","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7dee34d6bf31b5474b061069ba384e18863adf0826a22e1f8254aa43269703ca","sha256:d26a082ea8cfebd1c8e30a27c20d1bb14658d212a60970700bc1e5e1a328e002"],"state_sha256":"cf901aa2cd582edfbd3297ba867004744656f422c926c971e4a8be39c085f30d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mgw3F5zyVF3qSRnJ+cvnaoLBSTe3WbotiQ499LWV36tiGNCtAlPs/g9LPKbNFjOaGPznxZGurNRMpHTb5NtxDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T17:33:47.944047Z","bundle_sha256":"6c247840195cff2e9a695a3099d3c08486701e71c941a32324b112f5e6a9f768"}}