{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:PCOCPAN6576MWR72PC3M472HV6","short_pith_number":"pith:PCOCPAN6","canonical_record":{"source":{"id":"1506.00708","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-01T23:54:32Z","cross_cats_sorted":[],"title_canon_sha256":"2be45f3aa5c5aac0b8c88496106aef262dc9c8380c40a418c07abd4dae356327","abstract_canon_sha256":"216964657c8b17306fb1370dc31c284ac30fcc629f99d4ed5e46fc7f32b3441a"},"schema_version":"1.0"},"canonical_sha256":"789c2781beeffccb47fa78b6ce7f47af8d2584093d6ff3e69a9df529a9463e78","source":{"kind":"arxiv","id":"1506.00708","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.00708","created_at":"2026-05-18T00:27:03Z"},{"alias_kind":"arxiv_version","alias_value":"1506.00708v2","created_at":"2026-05-18T00:27:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.00708","created_at":"2026-05-18T00:27:03Z"},{"alias_kind":"pith_short_12","alias_value":"PCOCPAN6576M","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"PCOCPAN6576MWR72","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"PCOCPAN6","created_at":"2026-05-18T12:29:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:PCOCPAN6576MWR72PC3M472HV6","target":"record","payload":{"canonical_record":{"source":{"id":"1506.00708","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-01T23:54:32Z","cross_cats_sorted":[],"title_canon_sha256":"2be45f3aa5c5aac0b8c88496106aef262dc9c8380c40a418c07abd4dae356327","abstract_canon_sha256":"216964657c8b17306fb1370dc31c284ac30fcc629f99d4ed5e46fc7f32b3441a"},"schema_version":"1.0"},"canonical_sha256":"789c2781beeffccb47fa78b6ce7f47af8d2584093d6ff3e69a9df529a9463e78","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:03.186711Z","signature_b64":"+mwr53Hv1YLKowH2JX2hsABOGLNaexLjKLCzXk6KILhUWxlYhyAtTALir1X7UTln/r65hFO8ktSdp8TB/d0ABA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"789c2781beeffccb47fa78b6ce7f47af8d2584093d6ff3e69a9df529a9463e78","last_reissued_at":"2026-05-18T00:27:03.186103Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:03.186103Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.00708","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":"2026-05-18T00:27:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zypH3LrpRkPwCidx5a+yTkyDhxruZqEVoDkhcJJO+FUCf3TvZoVPJRt6oE6XCDWrEeBGe9Z9I/Yc8zq/41KeDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T19:08:45.527674Z"},"content_sha256":"cc022fc37650314a214ec7d545aeb977cc289ae93c9ba4b69c93b60b14abbaf9","schema_version":"1.0","event_id":"sha256:cc022fc37650314a214ec7d545aeb977cc289ae93c9ba4b69c93b60b14abbaf9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:PCOCPAN6576MWR72PC3M472HV6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Geometric Bogomolov conjecture for nowhere degenerate abelian varieties of dimension $5$ with trivial trace","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Kazuhiko Yamaki","submitted_at":"2015-06-01T23:54:32Z","abstract_excerpt":"We prove that the geometric Bogomolov conjecture holds for nowhere degenerate abelian varieties of dimension $5$ with trivial trace. By this result together with our previous work, we see that the conjecture holds for an abelian variety such that the difference between the dimension of its maximal nowhere degenerate abelian subvariety and that of its trace equals $5$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.00708","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":"2026-05-18T00:27:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i0tqLyTx1uec5d/z/kFyTsMymlDQfyv5py6qH68BtXxg3NNSYwRTEEfAor4n/uUB8ig0kcVTxpDB0W9COP+qCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T19:08:45.528010Z"},"content_sha256":"a0eef3180b382714807f5932682dc0d44967f82a5972e5518bff557a03b52132","schema_version":"1.0","event_id":"sha256:a0eef3180b382714807f5932682dc0d44967f82a5972e5518bff557a03b52132"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PCOCPAN6576MWR72PC3M472HV6/bundle.json","state_url":"https://pith.science/pith/PCOCPAN6576MWR72PC3M472HV6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PCOCPAN6576MWR72PC3M472HV6/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":"2026-06-20T19:08:45Z","links":{"resolver":"https://pith.science/pith/PCOCPAN6576MWR72PC3M472HV6","bundle":"https://pith.science/pith/PCOCPAN6576MWR72PC3M472HV6/bundle.json","state":"https://pith.science/pith/PCOCPAN6576MWR72PC3M472HV6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PCOCPAN6576MWR72PC3M472HV6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:PCOCPAN6576MWR72PC3M472HV6","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":"216964657c8b17306fb1370dc31c284ac30fcc629f99d4ed5e46fc7f32b3441a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-01T23:54:32Z","title_canon_sha256":"2be45f3aa5c5aac0b8c88496106aef262dc9c8380c40a418c07abd4dae356327"},"schema_version":"1.0","source":{"id":"1506.00708","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.00708","created_at":"2026-05-18T00:27:03Z"},{"alias_kind":"arxiv_version","alias_value":"1506.00708v2","created_at":"2026-05-18T00:27:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.00708","created_at":"2026-05-18T00:27:03Z"},{"alias_kind":"pith_short_12","alias_value":"PCOCPAN6576M","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"PCOCPAN6576MWR72","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"PCOCPAN6","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:a0eef3180b382714807f5932682dc0d44967f82a5972e5518bff557a03b52132","target":"graph","created_at":"2026-05-18T00:27:03Z","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 prove that the geometric Bogomolov conjecture holds for nowhere degenerate abelian varieties of dimension $5$ with trivial trace. By this result together with our previous work, we see that the conjecture holds for an abelian variety such that the difference between the dimension of its maximal nowhere degenerate abelian subvariety and that of its trace equals $5$.","authors_text":"Kazuhiko Yamaki","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-01T23:54:32Z","title":"Geometric Bogomolov conjecture for nowhere degenerate abelian varieties of dimension $5$ with trivial trace"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.00708","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:cc022fc37650314a214ec7d545aeb977cc289ae93c9ba4b69c93b60b14abbaf9","target":"record","created_at":"2026-05-18T00:27:03Z","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":"216964657c8b17306fb1370dc31c284ac30fcc629f99d4ed5e46fc7f32b3441a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-01T23:54:32Z","title_canon_sha256":"2be45f3aa5c5aac0b8c88496106aef262dc9c8380c40a418c07abd4dae356327"},"schema_version":"1.0","source":{"id":"1506.00708","kind":"arxiv","version":2}},"canonical_sha256":"789c2781beeffccb47fa78b6ce7f47af8d2584093d6ff3e69a9df529a9463e78","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"789c2781beeffccb47fa78b6ce7f47af8d2584093d6ff3e69a9df529a9463e78","first_computed_at":"2026-05-18T00:27:03.186103Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:27:03.186103Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+mwr53Hv1YLKowH2JX2hsABOGLNaexLjKLCzXk6KILhUWxlYhyAtTALir1X7UTln/r65hFO8ktSdp8TB/d0ABA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:27:03.186711Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.00708","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc022fc37650314a214ec7d545aeb977cc289ae93c9ba4b69c93b60b14abbaf9","sha256:a0eef3180b382714807f5932682dc0d44967f82a5972e5518bff557a03b52132"],"state_sha256":"d29f4bb026f5907d2ec0a15eac968e55f202df66f013409bfd914fe673d050bd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kpW1n0Q/mBj2XsOsImUdbVxqz983YYrqzb+Z3O4FFiBxgZTeGZmHFSmTRA8RoXlcXXPk6SrSL6yMzamkIctcBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T19:08:45.529918Z","bundle_sha256":"59a6faa9968ad99a1e2467fa93fd7515e3e5783333bcdbd0472c1b9f3092fe92"}}