{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:D4WXOIL25XS6ZMOBW7WYAA25S2","short_pith_number":"pith:D4WXOIL2","canonical_record":{"source":{"id":"2403.17079","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AC","submitted_at":"2024-03-25T18:11:01Z","cross_cats_sorted":[],"title_canon_sha256":"336784b7d77415d007cb6c7aafa3e7fe011c467ba62c08ac3707841b0ad1a1fb","abstract_canon_sha256":"f5a3cbaa0f64e3765a434b5de5d021f5edbf6cdf2c50460c5de2699fa9a03bcd"},"schema_version":"1.0"},"canonical_sha256":"1f2d77217aede5ecb1c1b7ed80035d96b98d592ed805335aa4986c17a86d9e27","source":{"kind":"arxiv","id":"2403.17079","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.17079","created_at":"2026-07-05T09:04:33Z"},{"alias_kind":"arxiv_version","alias_value":"2403.17079v2","created_at":"2026-07-05T09:04:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.17079","created_at":"2026-07-05T09:04:33Z"},{"alias_kind":"pith_short_12","alias_value":"D4WXOIL25XS6","created_at":"2026-07-05T09:04:33Z"},{"alias_kind":"pith_short_16","alias_value":"D4WXOIL25XS6ZMOB","created_at":"2026-07-05T09:04:33Z"},{"alias_kind":"pith_short_8","alias_value":"D4WXOIL2","created_at":"2026-07-05T09:04:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:D4WXOIL25XS6ZMOBW7WYAA25S2","target":"record","payload":{"canonical_record":{"source":{"id":"2403.17079","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AC","submitted_at":"2024-03-25T18:11:01Z","cross_cats_sorted":[],"title_canon_sha256":"336784b7d77415d007cb6c7aafa3e7fe011c467ba62c08ac3707841b0ad1a1fb","abstract_canon_sha256":"f5a3cbaa0f64e3765a434b5de5d021f5edbf6cdf2c50460c5de2699fa9a03bcd"},"schema_version":"1.0"},"canonical_sha256":"1f2d77217aede5ecb1c1b7ed80035d96b98d592ed805335aa4986c17a86d9e27","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:04:33.915276Z","signature_b64":"wzyip3jaMtT1joYhKD0u2g6Vp0VwtVKsJaUItWjhd1HRm9ps55JTU0YjfH31E7OKWs5AIhdrTeojAUFGtRzVAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1f2d77217aede5ecb1c1b7ed80035d96b98d592ed805335aa4986c17a86d9e27","last_reissued_at":"2026-07-05T09:04:33.914764Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:04:33.914764Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2403.17079","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":"2026-07-05T09:04:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WkgxSPcAeLthAweIzEcNmPkKH/UBmz9vcxvHky4eLK58EA2puW1Z0TzutK9jS03aJankunUvmCoIlLmjifriDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T14:35:05.683627Z"},"content_sha256":"22fba6da71657c61e8e72bf72edd9d9098ee0126608c3af8274693318e44afbb","schema_version":"1.0","event_id":"sha256:22fba6da71657c61e8e72bf72edd9d9098ee0126608c3af8274693318e44afbb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:D4WXOIL25XS6ZMOBW7WYAA25S2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Relations between Poincar\\'e series for quasi-complete intersection homomorphisms","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Josh Pollitz, Liana M. Sega","submitted_at":"2024-03-25T18:11:01Z","abstract_excerpt":"In this article we study base change of Poincar\\'e series along a quasi-complete intersection homomorphism $\\varphi\\colon Q \\to R$, where $Q$ is a local ring with maximal ideal $\\mathfrak{m}$. In particular, we give a precise relationship between the Poincar\\'e series $\\mathrm{P}^Q_M(t)$ of a finitely generated $R$-module $M$ to $\\mathrm{P}^R_M(t)$ when the kernel of $\\varphi$ is contained in $\\mathfrak{m}\\,\\mathrm{ann}_Q(M)$. This generalizes a classical result of Shamash for complete intersection homomorphisms. Our proof goes through base change formulas for Poincar\\'e series under the map o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.17079","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/2403.17079/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":"2026-07-05T09:04:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hN9lkb8ac5D90IEPNgM5HadL+GUdUE+xV/MNKChQIgKwaWqDtW9a9sAwOcubxzJnTHk+jQt6bMWV59Fi56XFAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T14:35:05.684637Z"},"content_sha256":"889c757fc24cd2722457f4b0dc7e64afe44cf33d1963ac4119d07d4fcc7b1051","schema_version":"1.0","event_id":"sha256:889c757fc24cd2722457f4b0dc7e64afe44cf33d1963ac4119d07d4fcc7b1051"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D4WXOIL25XS6ZMOBW7WYAA25S2/bundle.json","state_url":"https://pith.science/pith/D4WXOIL25XS6ZMOBW7WYAA25S2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D4WXOIL25XS6ZMOBW7WYAA25S2/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":"2026-08-10T14:35:05Z","links":{"resolver":"https://pith.science/pith/D4WXOIL25XS6ZMOBW7WYAA25S2","bundle":"https://pith.science/pith/D4WXOIL25XS6ZMOBW7WYAA25S2/bundle.json","state":"https://pith.science/pith/D4WXOIL25XS6ZMOBW7WYAA25S2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D4WXOIL25XS6ZMOBW7WYAA25S2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:D4WXOIL25XS6ZMOBW7WYAA25S2","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":"f5a3cbaa0f64e3765a434b5de5d021f5edbf6cdf2c50460c5de2699fa9a03bcd","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AC","submitted_at":"2024-03-25T18:11:01Z","title_canon_sha256":"336784b7d77415d007cb6c7aafa3e7fe011c467ba62c08ac3707841b0ad1a1fb"},"schema_version":"1.0","source":{"id":"2403.17079","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.17079","created_at":"2026-07-05T09:04:33Z"},{"alias_kind":"arxiv_version","alias_value":"2403.17079v2","created_at":"2026-07-05T09:04:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.17079","created_at":"2026-07-05T09:04:33Z"},{"alias_kind":"pith_short_12","alias_value":"D4WXOIL25XS6","created_at":"2026-07-05T09:04:33Z"},{"alias_kind":"pith_short_16","alias_value":"D4WXOIL25XS6ZMOB","created_at":"2026-07-05T09:04:33Z"},{"alias_kind":"pith_short_8","alias_value":"D4WXOIL2","created_at":"2026-07-05T09:04:33Z"}],"graph_snapshots":[{"event_id":"sha256:889c757fc24cd2722457f4b0dc7e64afe44cf33d1963ac4119d07d4fcc7b1051","target":"graph","created_at":"2026-07-05T09:04:33Z","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/2403.17079/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this article we study base change of Poincar\\'e series along a quasi-complete intersection homomorphism $\\varphi\\colon Q \\to R$, where $Q$ is a local ring with maximal ideal $\\mathfrak{m}$. In particular, we give a precise relationship between the Poincar\\'e series $\\mathrm{P}^Q_M(t)$ of a finitely generated $R$-module $M$ to $\\mathrm{P}^R_M(t)$ when the kernel of $\\varphi$ is contained in $\\mathfrak{m}\\,\\mathrm{ann}_Q(M)$. This generalizes a classical result of Shamash for complete intersection homomorphisms. Our proof goes through base change formulas for Poincar\\'e series under the map o","authors_text":"Josh Pollitz, Liana M. Sega","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AC","submitted_at":"2024-03-25T18:11:01Z","title":"Relations between Poincar\\'e series for quasi-complete intersection homomorphisms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.17079","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":"sha256:22fba6da71657c61e8e72bf72edd9d9098ee0126608c3af8274693318e44afbb","target":"record","created_at":"2026-07-05T09:04:33Z","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":"f5a3cbaa0f64e3765a434b5de5d021f5edbf6cdf2c50460c5de2699fa9a03bcd","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AC","submitted_at":"2024-03-25T18:11:01Z","title_canon_sha256":"336784b7d77415d007cb6c7aafa3e7fe011c467ba62c08ac3707841b0ad1a1fb"},"schema_version":"1.0","source":{"id":"2403.17079","kind":"arxiv","version":2}},"canonical_sha256":"1f2d77217aede5ecb1c1b7ed80035d96b98d592ed805335aa4986c17a86d9e27","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1f2d77217aede5ecb1c1b7ed80035d96b98d592ed805335aa4986c17a86d9e27","first_computed_at":"2026-07-05T09:04:33.914764Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:04:33.914764Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wzyip3jaMtT1joYhKD0u2g6Vp0VwtVKsJaUItWjhd1HRm9ps55JTU0YjfH31E7OKWs5AIhdrTeojAUFGtRzVAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:04:33.915276Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.17079","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:22fba6da71657c61e8e72bf72edd9d9098ee0126608c3af8274693318e44afbb","sha256:889c757fc24cd2722457f4b0dc7e64afe44cf33d1963ac4119d07d4fcc7b1051"],"state_sha256":"38ac535fad81988aed1b0b6f10565c8bf89273754c36f47558040cb2448acd3c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iPy7oblZQJc/TqSPk+3VGVblOJwXM5cNr2ujNCeXMCSu4togIuVaapCYe0exG6xQHOsL+Pfs5sq+Bwdz6oz+Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T14:35:05.689330Z","bundle_sha256":"30c33ee2f3952576966cfcf47dce9fc1cdfc1e06ce18a126feef4956f4c7c273"}}