{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1995:TR3TC53QM2ZSMOSZ7WR2CF5H3S","short_pith_number":"pith:TR3TC53Q","canonical_record":{"source":{"id":"math/9510208","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.NT","submitted_at":"1995-10-25T00:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"43eaa10b0b306402835d74975b0a220790a4afb1b383270c56054e7320733dd7","abstract_canon_sha256":"d2020a636bb48f96057cf8aeebcd83b5b073ea189ed6c4a4f7a886119e01c6f1"},"schema_version":"1.0"},"canonical_sha256":"9c7731777066b3263a59fda3a117a7dca126dfcce5d47979b02c5a5bb7f8af7a","source":{"kind":"arxiv","id":"math/9510208","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9510208","created_at":"2026-05-18T01:05:48Z"},{"alias_kind":"arxiv_version","alias_value":"math/9510208v1","created_at":"2026-05-18T01:05:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9510208","created_at":"2026-05-18T01:05:48Z"},{"alias_kind":"pith_short_12","alias_value":"TR3TC53QM2ZS","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"TR3TC53QM2ZSMOSZ","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"TR3TC53Q","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1995:TR3TC53QM2ZSMOSZ7WR2CF5H3S","target":"record","payload":{"canonical_record":{"source":{"id":"math/9510208","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.NT","submitted_at":"1995-10-25T00:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"43eaa10b0b306402835d74975b0a220790a4afb1b383270c56054e7320733dd7","abstract_canon_sha256":"d2020a636bb48f96057cf8aeebcd83b5b073ea189ed6c4a4f7a886119e01c6f1"},"schema_version":"1.0"},"canonical_sha256":"9c7731777066b3263a59fda3a117a7dca126dfcce5d47979b02c5a5bb7f8af7a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:48.216850Z","signature_b64":"HeA1Sm0LY/tH22iytuM6EsujbVuXYmS2ll1ppCBkSlnsY7twYKF+L/zCsr3bSyoJIBbLbJmNCUdQ0+yZGDJ3AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c7731777066b3263a59fda3a117a7dca126dfcce5d47979b02c5a5bb7f8af7a","last_reissued_at":"2026-05-18T01:05:48.216245Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:48.216245Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/9510208","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":"2026-05-18T01:05:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y/AgtUuPSNCZxD6OXnoHsVzUSc1T3yFOiVIFt5rSIAzJC7nvsJzTx62AtC9LcZ3T1EK2A71AS1UPt/mx/OhPAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T08:30:20.579052Z"},"content_sha256":"36fb388ce611f4ad1b49adb06bdb513523c4a551c54675783eb039cdcb74894f","schema_version":"1.0","event_id":"sha256:36fb388ce611f4ad1b49adb06bdb513523c4a551c54675783eb039cdcb74894f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1995:TR3TC53QM2ZSMOSZ7WR2CF5H3S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Siegel Modular Forms and Theta Series attached to quaternion algebras II","license":"","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Rainer Schulze-Pillot, Siegfried B\\\"ocherer","submitted_at":"1995-10-25T00:00:00Z","abstract_excerpt":"We continue our study of Yoshida's lifting, which associates to a pair of automorphic forms on the adelic multiplicative group of a quaternion algebra a Siegel modular form of degree 2. We consider here the case that the automorphic forms on the quaternion algebra correspond to modular forms of arbitrary even weights and square free levels; in particular we obtain a construction of Siegel modular forms of weight 3 attached to a pair of elliptic modular forms of weights 2 and 4."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9510208","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":"2026-05-18T01:05:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6Apk1q6tkxRh1EqqSqxybtb+RCMdjLN/sFMVbwGCw39bOV0QKFN/MmPMybfzlJSD18oKoz2iLocaWU73HH35DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T08:30:20.579404Z"},"content_sha256":"7d1f99b9ea935bbd176421ff28080c8549020c463382391315413b53fe798593","schema_version":"1.0","event_id":"sha256:7d1f99b9ea935bbd176421ff28080c8549020c463382391315413b53fe798593"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TR3TC53QM2ZSMOSZ7WR2CF5H3S/bundle.json","state_url":"https://pith.science/pith/TR3TC53QM2ZSMOSZ7WR2CF5H3S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TR3TC53QM2ZSMOSZ7WR2CF5H3S/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":"2026-06-05T08:30:20Z","links":{"resolver":"https://pith.science/pith/TR3TC53QM2ZSMOSZ7WR2CF5H3S","bundle":"https://pith.science/pith/TR3TC53QM2ZSMOSZ7WR2CF5H3S/bundle.json","state":"https://pith.science/pith/TR3TC53QM2ZSMOSZ7WR2CF5H3S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TR3TC53QM2ZSMOSZ7WR2CF5H3S/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:TR3TC53QM2ZSMOSZ7WR2CF5H3S","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":"d2020a636bb48f96057cf8aeebcd83b5b073ea189ed6c4a4f7a886119e01c6f1","cross_cats_sorted":[],"license":"","primary_cat":"math.NT","submitted_at":"1995-10-25T00:00:00Z","title_canon_sha256":"43eaa10b0b306402835d74975b0a220790a4afb1b383270c56054e7320733dd7"},"schema_version":"1.0","source":{"id":"math/9510208","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9510208","created_at":"2026-05-18T01:05:48Z"},{"alias_kind":"arxiv_version","alias_value":"math/9510208v1","created_at":"2026-05-18T01:05:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9510208","created_at":"2026-05-18T01:05:48Z"},{"alias_kind":"pith_short_12","alias_value":"TR3TC53QM2ZS","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"TR3TC53QM2ZSMOSZ","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"TR3TC53Q","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:7d1f99b9ea935bbd176421ff28080c8549020c463382391315413b53fe798593","target":"graph","created_at":"2026-05-18T01:05:48Z","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 continue our study of Yoshida's lifting, which associates to a pair of automorphic forms on the adelic multiplicative group of a quaternion algebra a Siegel modular form of degree 2. We consider here the case that the automorphic forms on the quaternion algebra correspond to modular forms of arbitrary even weights and square free levels; in particular we obtain a construction of Siegel modular forms of weight 3 attached to a pair of elliptic modular forms of weights 2 and 4.","authors_text":"Rainer Schulze-Pillot, Siegfried B\\\"ocherer","cross_cats":[],"headline":"","license":"","primary_cat":"math.NT","submitted_at":"1995-10-25T00:00:00Z","title":"Siegel Modular Forms and Theta Series attached to quaternion algebras II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9510208","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":"sha256:36fb388ce611f4ad1b49adb06bdb513523c4a551c54675783eb039cdcb74894f","target":"record","created_at":"2026-05-18T01:05:48Z","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":"d2020a636bb48f96057cf8aeebcd83b5b073ea189ed6c4a4f7a886119e01c6f1","cross_cats_sorted":[],"license":"","primary_cat":"math.NT","submitted_at":"1995-10-25T00:00:00Z","title_canon_sha256":"43eaa10b0b306402835d74975b0a220790a4afb1b383270c56054e7320733dd7"},"schema_version":"1.0","source":{"id":"math/9510208","kind":"arxiv","version":1}},"canonical_sha256":"9c7731777066b3263a59fda3a117a7dca126dfcce5d47979b02c5a5bb7f8af7a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c7731777066b3263a59fda3a117a7dca126dfcce5d47979b02c5a5bb7f8af7a","first_computed_at":"2026-05-18T01:05:48.216245Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:48.216245Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HeA1Sm0LY/tH22iytuM6EsujbVuXYmS2ll1ppCBkSlnsY7twYKF+L/zCsr3bSyoJIBbLbJmNCUdQ0+yZGDJ3AA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:48.216850Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/9510208","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:36fb388ce611f4ad1b49adb06bdb513523c4a551c54675783eb039cdcb74894f","sha256:7d1f99b9ea935bbd176421ff28080c8549020c463382391315413b53fe798593"],"state_sha256":"e6b2a170f742194a71499cdfdfc249509cd35adc17c1f8c7eee3fb7e14483323"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xYiW39GAJsjnwCwMmd2On0EOSgtNb+3io4AsEZ1/6lOMnPpqpX8QbZHLOWDyHv4vyOcu1uMuO93R1+2P4QjSCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T08:30:20.581380Z","bundle_sha256":"4c1674cfb8f81384b3c2a54828697ee3e7424f1d771ed250db22ef7ddad32dc2"}}