{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:DOPORR2EVCEOUKOX2FXLJ34V6V","short_pith_number":"pith:DOPORR2E","canonical_record":{"source":{"id":"1406.1646","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-06-06T11:17:57Z","cross_cats_sorted":[],"title_canon_sha256":"6fa335c60b3005f25216b7a492855fc0e61dbb96813e6d1bbf34d067b44f892a","abstract_canon_sha256":"ebaa4dc3cb0dc2d0f929cea3266b1d008c613c2dc24e37ebff27085e439fe042"},"schema_version":"1.0"},"canonical_sha256":"1b9ee8c744a888ea29d7d16eb4ef95f56454aa2eb202bbdd78067e9c4d594a27","source":{"kind":"arxiv","id":"1406.1646","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.1646","created_at":"2026-05-18T02:43:53Z"},{"alias_kind":"arxiv_version","alias_value":"1406.1646v2","created_at":"2026-05-18T02:43:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.1646","created_at":"2026-05-18T02:43:53Z"},{"alias_kind":"pith_short_12","alias_value":"DOPORR2EVCEO","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"DOPORR2EVCEOUKOX","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"DOPORR2E","created_at":"2026-05-18T12:28:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:DOPORR2EVCEOUKOX2FXLJ34V6V","target":"record","payload":{"canonical_record":{"source":{"id":"1406.1646","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-06-06T11:17:57Z","cross_cats_sorted":[],"title_canon_sha256":"6fa335c60b3005f25216b7a492855fc0e61dbb96813e6d1bbf34d067b44f892a","abstract_canon_sha256":"ebaa4dc3cb0dc2d0f929cea3266b1d008c613c2dc24e37ebff27085e439fe042"},"schema_version":"1.0"},"canonical_sha256":"1b9ee8c744a888ea29d7d16eb4ef95f56454aa2eb202bbdd78067e9c4d594a27","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:43:53.822506Z","signature_b64":"l8H7ZzAPZ1sXV45TqYW6EvCeNM5AarFGxcMGST8cWvekLSBE17EppnxbQEwVuj8zsZPEqU2Iwi9zr6o35riXBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1b9ee8c744a888ea29d7d16eb4ef95f56454aa2eb202bbdd78067e9c4d594a27","last_reissued_at":"2026-05-18T02:43:53.821959Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:43:53.821959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.1646","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":"2026-05-18T02:43:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ly/AKDC6YoUcgRDGSTO0eVdtrKKPHc/TKVFgOk5pyR0VCALfy0dC1xTDoJJsXOeXhfc4kD/eKtVsQ+sHbntyAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T09:16:07.867800Z"},"content_sha256":"39ce16e295502e02473ce16f46f859b61dfc98dd1314bc17bd398c8206adfd49","schema_version":"1.0","event_id":"sha256:39ce16e295502e02473ce16f46f859b61dfc98dd1314bc17bd398c8206adfd49"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:DOPORR2EVCEOUKOX2FXLJ34V6V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-vanishing and sign changes of Hecke eigenvalues for Siegel cusp forms of genus two (with an Appendix by E. Kowalski and A. Saha)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Emmanuel Royer, Jie Wu (IECL), Jyoti Sengupta (TIFR)","submitted_at":"2014-06-06T11:17:57Z","abstract_excerpt":"In this paper, we show that half of non-zero coefficients of the spinor zeta function of a Siegel cusp form of genus 2 are positive and half are negative."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.1646","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":""},"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":"2026-05-18T02:43:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eDQqbT4aWBAUr8r7c7epNSfgnqp/idtMng/s0M7SxSA1GsJye0UiZgcnXfL+3TMfEYOTHTZ8qpgT3ZKXc7+qDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T09:16:07.868153Z"},"content_sha256":"6601d8587c53ef95225665a559f1a83f80bd97dd9f2facf2997f2b5f84f17ee8","schema_version":"1.0","event_id":"sha256:6601d8587c53ef95225665a559f1a83f80bd97dd9f2facf2997f2b5f84f17ee8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DOPORR2EVCEOUKOX2FXLJ34V6V/bundle.json","state_url":"https://pith.science/pith/DOPORR2EVCEOUKOX2FXLJ34V6V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DOPORR2EVCEOUKOX2FXLJ34V6V/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":"2026-06-22T09:16:07Z","links":{"resolver":"https://pith.science/pith/DOPORR2EVCEOUKOX2FXLJ34V6V","bundle":"https://pith.science/pith/DOPORR2EVCEOUKOX2FXLJ34V6V/bundle.json","state":"https://pith.science/pith/DOPORR2EVCEOUKOX2FXLJ34V6V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DOPORR2EVCEOUKOX2FXLJ34V6V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:DOPORR2EVCEOUKOX2FXLJ34V6V","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":"ebaa4dc3cb0dc2d0f929cea3266b1d008c613c2dc24e37ebff27085e439fe042","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-06-06T11:17:57Z","title_canon_sha256":"6fa335c60b3005f25216b7a492855fc0e61dbb96813e6d1bbf34d067b44f892a"},"schema_version":"1.0","source":{"id":"1406.1646","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.1646","created_at":"2026-05-18T02:43:53Z"},{"alias_kind":"arxiv_version","alias_value":"1406.1646v2","created_at":"2026-05-18T02:43:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.1646","created_at":"2026-05-18T02:43:53Z"},{"alias_kind":"pith_short_12","alias_value":"DOPORR2EVCEO","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"DOPORR2EVCEOUKOX","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"DOPORR2E","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:6601d8587c53ef95225665a559f1a83f80bd97dd9f2facf2997f2b5f84f17ee8","target":"graph","created_at":"2026-05-18T02:43:53Z","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":"In this paper, we show that half of non-zero coefficients of the spinor zeta function of a Siegel cusp form of genus 2 are positive and half are negative.","authors_text":"Emmanuel Royer, Jie Wu (IECL), Jyoti Sengupta (TIFR)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-06-06T11:17:57Z","title":"Non-vanishing and sign changes of Hecke eigenvalues for Siegel cusp forms of genus two (with an Appendix by E. Kowalski and A. Saha)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.1646","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":"sha256:39ce16e295502e02473ce16f46f859b61dfc98dd1314bc17bd398c8206adfd49","target":"record","created_at":"2026-05-18T02:43:53Z","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":"ebaa4dc3cb0dc2d0f929cea3266b1d008c613c2dc24e37ebff27085e439fe042","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-06-06T11:17:57Z","title_canon_sha256":"6fa335c60b3005f25216b7a492855fc0e61dbb96813e6d1bbf34d067b44f892a"},"schema_version":"1.0","source":{"id":"1406.1646","kind":"arxiv","version":2}},"canonical_sha256":"1b9ee8c744a888ea29d7d16eb4ef95f56454aa2eb202bbdd78067e9c4d594a27","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1b9ee8c744a888ea29d7d16eb4ef95f56454aa2eb202bbdd78067e9c4d594a27","first_computed_at":"2026-05-18T02:43:53.821959Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:43:53.821959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l8H7ZzAPZ1sXV45TqYW6EvCeNM5AarFGxcMGST8cWvekLSBE17EppnxbQEwVuj8zsZPEqU2Iwi9zr6o35riXBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:43:53.822506Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.1646","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:39ce16e295502e02473ce16f46f859b61dfc98dd1314bc17bd398c8206adfd49","sha256:6601d8587c53ef95225665a559f1a83f80bd97dd9f2facf2997f2b5f84f17ee8"],"state_sha256":"849ac9d312e6d78e667f8865f967514a4bc53e7760671ca7afda14afd2719a0e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bUvmS3tMV4c0Az2xnH/6mZRyHRzuF/oV7QUHq78z/b8U5umPZY2ybw3UMcpB1l22+RVkqx7/nFmwSAKfWgXpCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T09:16:07.870140Z","bundle_sha256":"ba84bd52c933ffa2a7da3e421535e90dd5d664acb8095f1d33e7930ddab935e9"}}