{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:ONNAUOYLMZS2HAEDIY4F2EE3QH","short_pith_number":"pith:ONNAUOYL","canonical_record":{"source":{"id":"2509.02303","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.NT","submitted_at":"2025-09-02T13:26:39Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"582bc8f484719d1e2107d81fe8702f20c1e957c9cb9a08076d9928455a81b6fb","abstract_canon_sha256":"507124b958b168ae0a553c0e99bb7d1e839f09df11452c6de4f97f68d1961ab6"},"schema_version":"1.0"},"canonical_sha256":"735a0a3b0b6665a3808346385d109b81f3f7b073a0e7382960a40bce55f942ae","source":{"kind":"arxiv","id":"2509.02303","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.02303","created_at":"2026-06-23T00:11:47Z"},{"alias_kind":"arxiv_version","alias_value":"2509.02303v1","created_at":"2026-06-23T00:11:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.02303","created_at":"2026-06-23T00:11:47Z"},{"alias_kind":"pith_short_12","alias_value":"ONNAUOYLMZS2","created_at":"2026-06-23T00:11:47Z"},{"alias_kind":"pith_short_16","alias_value":"ONNAUOYLMZS2HAED","created_at":"2026-06-23T00:11:47Z"},{"alias_kind":"pith_short_8","alias_value":"ONNAUOYL","created_at":"2026-06-23T00:11:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:ONNAUOYLMZS2HAEDIY4F2EE3QH","target":"record","payload":{"canonical_record":{"source":{"id":"2509.02303","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.NT","submitted_at":"2025-09-02T13:26:39Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"582bc8f484719d1e2107d81fe8702f20c1e957c9cb9a08076d9928455a81b6fb","abstract_canon_sha256":"507124b958b168ae0a553c0e99bb7d1e839f09df11452c6de4f97f68d1961ab6"},"schema_version":"1.0"},"canonical_sha256":"735a0a3b0b6665a3808346385d109b81f3f7b073a0e7382960a40bce55f942ae","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-23T00:11:47.042864Z","signature_b64":"w0IZDxXyYX4t6bfYwmEjQRL5Ruu/o0j2N1N1Du480u23WtokTl2EFFEcCGszWTkr+Dz+X45EqULxPXHb4hHEAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"735a0a3b0b6665a3808346385d109b81f3f7b073a0e7382960a40bce55f942ae","last_reissued_at":"2026-06-23T00:11:47.042351Z","signature_status":"signed_v1","first_computed_at":"2026-06-23T00:11:47.042351Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2509.02303","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":"2026-06-23T00:11:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b93WhrMAF2UnwYHygk+E74XyBTXWVOBBogXHf4AJQzLZAOTXB6X8J9O7sHTXB0V5qEo8d6ySvOQmPuvIMa7bAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T13:51:12.440859Z"},"content_sha256":"1fce1012c04c7711f4048694ffa016e8cae24812c3217f991ba5db9b17b443ed","schema_version":"1.0","event_id":"sha256:1fce1012c04c7711f4048694ffa016e8cae24812c3217f991ba5db9b17b443ed"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:ONNAUOYLMZS2HAEDIY4F2EE3QH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Factorization of periods, construction of automorphic motives and Deligne's conjecture over CM-fields","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.NT","authors_text":"Harald Grobner, Jie Lin, Michael Harris","submitted_at":"2025-09-02T13:26:39Z","abstract_excerpt":"The present paper is devoted to the relations between Deligne's conjecture on critical values of motivic $L$-functions and the multiplicative relations between periods of arithmetically normalized automorphic forms on unitary groups. As an application of our main result, we establish Deligne's conjecture for a class of CM-automorphic motives, which we construct in this paper. Our proof uses the results of our recent joint work with Raghuram in combination with the Ichino--Ikeda--Neal-Harris (IINH) formula for unitary groups -- which is now a theorem -- and an analysis of cup products of cohere"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.02303","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2509.02303/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":"2026-06-23T00:11:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ljNDuu2r13TBuxokjo2bYfruMdAScG542jz2AqTwtchDYmIofhU/2Kw0/6k+fCInim4x1sZO7Hxy6QodFgw+CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T13:51:12.441360Z"},"content_sha256":"0d55c87941cb2d4b61ac77aa8a11eb762c34ae426a6e7233a14a5ebf9c79a230","schema_version":"1.0","event_id":"sha256:0d55c87941cb2d4b61ac77aa8a11eb762c34ae426a6e7233a14a5ebf9c79a230"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ONNAUOYLMZS2HAEDIY4F2EE3QH/bundle.json","state_url":"https://pith.science/pith/ONNAUOYLMZS2HAEDIY4F2EE3QH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ONNAUOYLMZS2HAEDIY4F2EE3QH/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":"2026-08-08T13:51:12Z","links":{"resolver":"https://pith.science/pith/ONNAUOYLMZS2HAEDIY4F2EE3QH","bundle":"https://pith.science/pith/ONNAUOYLMZS2HAEDIY4F2EE3QH/bundle.json","state":"https://pith.science/pith/ONNAUOYLMZS2HAEDIY4F2EE3QH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ONNAUOYLMZS2HAEDIY4F2EE3QH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:ONNAUOYLMZS2HAEDIY4F2EE3QH","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":"507124b958b168ae0a553c0e99bb7d1e839f09df11452c6de4f97f68d1961ab6","cross_cats_sorted":["math.RT"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.NT","submitted_at":"2025-09-02T13:26:39Z","title_canon_sha256":"582bc8f484719d1e2107d81fe8702f20c1e957c9cb9a08076d9928455a81b6fb"},"schema_version":"1.0","source":{"id":"2509.02303","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.02303","created_at":"2026-06-23T00:11:47Z"},{"alias_kind":"arxiv_version","alias_value":"2509.02303v1","created_at":"2026-06-23T00:11:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.02303","created_at":"2026-06-23T00:11:47Z"},{"alias_kind":"pith_short_12","alias_value":"ONNAUOYLMZS2","created_at":"2026-06-23T00:11:47Z"},{"alias_kind":"pith_short_16","alias_value":"ONNAUOYLMZS2HAED","created_at":"2026-06-23T00:11:47Z"},{"alias_kind":"pith_short_8","alias_value":"ONNAUOYL","created_at":"2026-06-23T00:11:47Z"}],"graph_snapshots":[{"event_id":"sha256:0d55c87941cb2d4b61ac77aa8a11eb762c34ae426a6e7233a14a5ebf9c79a230","target":"graph","created_at":"2026-06-23T00:11:47Z","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/2509.02303/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The present paper is devoted to the relations between Deligne's conjecture on critical values of motivic $L$-functions and the multiplicative relations between periods of arithmetically normalized automorphic forms on unitary groups. As an application of our main result, we establish Deligne's conjecture for a class of CM-automorphic motives, which we construct in this paper. Our proof uses the results of our recent joint work with Raghuram in combination with the Ichino--Ikeda--Neal-Harris (IINH) formula for unitary groups -- which is now a theorem -- and an analysis of cup products of cohere","authors_text":"Harald Grobner, Jie Lin, Michael Harris","cross_cats":["math.RT"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.NT","submitted_at":"2025-09-02T13:26:39Z","title":"Factorization of periods, construction of automorphic motives and Deligne's conjecture over CM-fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.02303","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":"sha256:1fce1012c04c7711f4048694ffa016e8cae24812c3217f991ba5db9b17b443ed","target":"record","created_at":"2026-06-23T00:11:47Z","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":"507124b958b168ae0a553c0e99bb7d1e839f09df11452c6de4f97f68d1961ab6","cross_cats_sorted":["math.RT"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.NT","submitted_at":"2025-09-02T13:26:39Z","title_canon_sha256":"582bc8f484719d1e2107d81fe8702f20c1e957c9cb9a08076d9928455a81b6fb"},"schema_version":"1.0","source":{"id":"2509.02303","kind":"arxiv","version":1}},"canonical_sha256":"735a0a3b0b6665a3808346385d109b81f3f7b073a0e7382960a40bce55f942ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"735a0a3b0b6665a3808346385d109b81f3f7b073a0e7382960a40bce55f942ae","first_computed_at":"2026-06-23T00:11:47.042351Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-23T00:11:47.042351Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w0IZDxXyYX4t6bfYwmEjQRL5Ruu/o0j2N1N1Du480u23WtokTl2EFFEcCGszWTkr+Dz+X45EqULxPXHb4hHEAA==","signature_status":"signed_v1","signed_at":"2026-06-23T00:11:47.042864Z","signed_message":"canonical_sha256_bytes"},"source_id":"2509.02303","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1fce1012c04c7711f4048694ffa016e8cae24812c3217f991ba5db9b17b443ed","sha256:0d55c87941cb2d4b61ac77aa8a11eb762c34ae426a6e7233a14a5ebf9c79a230"],"state_sha256":"e7b93498586afbd317b64f2d805d75968d9a71c46ef5d977c5549b2f8610e9be"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o2GcC98eYEqM2nU/WNMpT/J+4fO5ur1VBiiQvB2eK1o55BUA2hJ0SDjEC3c536sbJcW2Rum/2M12TMw02nysCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T13:51:12.446298Z","bundle_sha256":"8bce9cf7ce9905d38d396762ed5004459d67d0ef707fc508d3de4d196a2d6003"}}