{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:ADD3OC7CZNFJ6L5LTKWRKP7FEW","short_pith_number":"pith:ADD3OC7C","canonical_record":{"source":{"id":"1603.03583","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-03-11T10:09:35Z","cross_cats_sorted":[],"title_canon_sha256":"f772cd408824eda7336bf9c90012b6f1203fb9e7bd3048e10ff0a3ea73e4ad68","abstract_canon_sha256":"eed56f733633e58b5a04fd2d5ab1add85d7edb540a454d345623fe399c21fd71"},"schema_version":"1.0"},"canonical_sha256":"00c7b70be2cb4a9f2fab9aad153fe52595cc878c6f395b4b8aefec8b68e944ec","source":{"kind":"arxiv","id":"1603.03583","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.03583","created_at":"2026-05-18T01:19:15Z"},{"alias_kind":"arxiv_version","alias_value":"1603.03583v1","created_at":"2026-05-18T01:19:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.03583","created_at":"2026-05-18T01:19:15Z"},{"alias_kind":"pith_short_12","alias_value":"ADD3OC7CZNFJ","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"ADD3OC7CZNFJ6L5L","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"ADD3OC7C","created_at":"2026-05-18T12:30:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:ADD3OC7CZNFJ6L5LTKWRKP7FEW","target":"record","payload":{"canonical_record":{"source":{"id":"1603.03583","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-03-11T10:09:35Z","cross_cats_sorted":[],"title_canon_sha256":"f772cd408824eda7336bf9c90012b6f1203fb9e7bd3048e10ff0a3ea73e4ad68","abstract_canon_sha256":"eed56f733633e58b5a04fd2d5ab1add85d7edb540a454d345623fe399c21fd71"},"schema_version":"1.0"},"canonical_sha256":"00c7b70be2cb4a9f2fab9aad153fe52595cc878c6f395b4b8aefec8b68e944ec","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:15.268857Z","signature_b64":"FPp2zgrwDDAdxpvue+nG7Buw4rfjEuvr0AmBWJwrZzm+IR+MWYl9jXYlRr1kyC+shFpO1oYg4I5eQRZpSGjmDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"00c7b70be2cb4a9f2fab9aad153fe52595cc878c6f395b4b8aefec8b68e944ec","last_reissued_at":"2026-05-18T01:19:15.268258Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:15.268258Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.03583","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":"2026-05-18T01:19:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"He466uiAFx+z5RfLKHree65VM495uY3eQ0MM/cBFhlGQE1+sjFPHK+vFapbAPjejTDADIcmAGPJmaBAgxZYJDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T09:03:57.358170Z"},"content_sha256":"418e382c058ea5453e58158ff308e4f6dd53ce7a1e5411f3089aa86b22912c6f","schema_version":"1.0","event_id":"sha256:418e382c058ea5453e58158ff308e4f6dd53ce7a1e5411f3089aa86b22912c6f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:ADD3OC7CZNFJ6L5LTKWRKP7FEW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On The Group Algebra Decomposition of a Jacobian Variety","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Leslie Jim\\'enez","submitted_at":"2016-03-11T10:09:35Z","abstract_excerpt":"Given a compact Riemann surface X with an action of a finite group G, the group algebra Q[G] provides an isogenous decomposition of its Jacobian variety JX, known as the group algebra decomposition of JX. We obtain a method to concretely build a decomposition of this kind. Our method allows us to study the geometry of the decomposition. For instance, we build several decompositions in order to determine which one has kernel of smallest order. We apply this method to families of trigonal curves up to genus 10."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.03583","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":"2026-05-18T01:19:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8j0nVTzLED65fpmic+luzhlGHvk7KXwzxtPCXfLLFCWpjhIxw7SNEk0s2YxMENRKHvhp6O7QtN//1NMeW59HAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T09:03:57.358530Z"},"content_sha256":"a71ff79bec03eea05b46cb05090a300d39d9887ce1ac97ef619d0d86506a6c07","schema_version":"1.0","event_id":"sha256:a71ff79bec03eea05b46cb05090a300d39d9887ce1ac97ef619d0d86506a6c07"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ADD3OC7CZNFJ6L5LTKWRKP7FEW/bundle.json","state_url":"https://pith.science/pith/ADD3OC7CZNFJ6L5LTKWRKP7FEW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ADD3OC7CZNFJ6L5LTKWRKP7FEW/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":"2026-06-22T09:03:57Z","links":{"resolver":"https://pith.science/pith/ADD3OC7CZNFJ6L5LTKWRKP7FEW","bundle":"https://pith.science/pith/ADD3OC7CZNFJ6L5LTKWRKP7FEW/bundle.json","state":"https://pith.science/pith/ADD3OC7CZNFJ6L5LTKWRKP7FEW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ADD3OC7CZNFJ6L5LTKWRKP7FEW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:ADD3OC7CZNFJ6L5LTKWRKP7FEW","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":"eed56f733633e58b5a04fd2d5ab1add85d7edb540a454d345623fe399c21fd71","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-03-11T10:09:35Z","title_canon_sha256":"f772cd408824eda7336bf9c90012b6f1203fb9e7bd3048e10ff0a3ea73e4ad68"},"schema_version":"1.0","source":{"id":"1603.03583","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.03583","created_at":"2026-05-18T01:19:15Z"},{"alias_kind":"arxiv_version","alias_value":"1603.03583v1","created_at":"2026-05-18T01:19:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.03583","created_at":"2026-05-18T01:19:15Z"},{"alias_kind":"pith_short_12","alias_value":"ADD3OC7CZNFJ","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"ADD3OC7CZNFJ6L5L","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"ADD3OC7C","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:a71ff79bec03eea05b46cb05090a300d39d9887ce1ac97ef619d0d86506a6c07","target":"graph","created_at":"2026-05-18T01:19:15Z","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":"Given a compact Riemann surface X with an action of a finite group G, the group algebra Q[G] provides an isogenous decomposition of its Jacobian variety JX, known as the group algebra decomposition of JX. We obtain a method to concretely build a decomposition of this kind. Our method allows us to study the geometry of the decomposition. For instance, we build several decompositions in order to determine which one has kernel of smallest order. We apply this method to families of trigonal curves up to genus 10.","authors_text":"Leslie Jim\\'enez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-03-11T10:09:35Z","title":"On The Group Algebra Decomposition of a Jacobian Variety"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.03583","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":"sha256:418e382c058ea5453e58158ff308e4f6dd53ce7a1e5411f3089aa86b22912c6f","target":"record","created_at":"2026-05-18T01:19:15Z","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":"eed56f733633e58b5a04fd2d5ab1add85d7edb540a454d345623fe399c21fd71","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-03-11T10:09:35Z","title_canon_sha256":"f772cd408824eda7336bf9c90012b6f1203fb9e7bd3048e10ff0a3ea73e4ad68"},"schema_version":"1.0","source":{"id":"1603.03583","kind":"arxiv","version":1}},"canonical_sha256":"00c7b70be2cb4a9f2fab9aad153fe52595cc878c6f395b4b8aefec8b68e944ec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"00c7b70be2cb4a9f2fab9aad153fe52595cc878c6f395b4b8aefec8b68e944ec","first_computed_at":"2026-05-18T01:19:15.268258Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:15.268258Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FPp2zgrwDDAdxpvue+nG7Buw4rfjEuvr0AmBWJwrZzm+IR+MWYl9jXYlRr1kyC+shFpO1oYg4I5eQRZpSGjmDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:15.268857Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.03583","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:418e382c058ea5453e58158ff308e4f6dd53ce7a1e5411f3089aa86b22912c6f","sha256:a71ff79bec03eea05b46cb05090a300d39d9887ce1ac97ef619d0d86506a6c07"],"state_sha256":"6e659a547de586128e0a74dd2b0dc694a8e39bd70b48e3787744e69f69f8bb0a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UEkO2Ztb/C/G/hNUCVkSObJd+SoRVYLzJhECVzqsdjiFIxXzpXFMuBljO9p3r/QJIW5ixhkPW2lNoyxNxxNGAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T09:03:57.360474Z","bundle_sha256":"390a4022b32fb6f1d57620dcc17b88081a9d5ac4b42664751480807eaddc186e"}}