{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:KQLEELWXZZHA24E3K4F2T5TDWB","short_pith_number":"pith:KQLEELWX","canonical_record":{"source":{"id":"1512.07544","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-12-23T17:06:04Z","cross_cats_sorted":[],"title_canon_sha256":"69d53a7cc003f936463cfd53c5f61b826ce5f5252628a6c9f0230e97df1a1b67","abstract_canon_sha256":"5c8b9a69dcc4ffe6b98d48619b3b1662e647535adc7e6448b209b16562e5d02a"},"schema_version":"1.0"},"canonical_sha256":"5416422ed7ce4e0d709b570ba9f663b072b4fa47e84b6901e821eac1514c6975","source":{"kind":"arxiv","id":"1512.07544","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.07544","created_at":"2026-05-18T00:55:34Z"},{"alias_kind":"arxiv_version","alias_value":"1512.07544v2","created_at":"2026-05-18T00:55:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.07544","created_at":"2026-05-18T00:55:34Z"},{"alias_kind":"pith_short_12","alias_value":"KQLEELWXZZHA","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"KQLEELWXZZHA24E3","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"KQLEELWX","created_at":"2026-05-18T12:29:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:KQLEELWXZZHA24E3K4F2T5TDWB","target":"record","payload":{"canonical_record":{"source":{"id":"1512.07544","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-12-23T17:06:04Z","cross_cats_sorted":[],"title_canon_sha256":"69d53a7cc003f936463cfd53c5f61b826ce5f5252628a6c9f0230e97df1a1b67","abstract_canon_sha256":"5c8b9a69dcc4ffe6b98d48619b3b1662e647535adc7e6448b209b16562e5d02a"},"schema_version":"1.0"},"canonical_sha256":"5416422ed7ce4e0d709b570ba9f663b072b4fa47e84b6901e821eac1514c6975","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:55:34.364814Z","signature_b64":"vH5JUlxHiolDX1HHr7p2o4tr/2DlNqoKWIAhHCJ2axeBoDwXIdVpFaBBixRmDD66wrXgVVw/zLm5509A9N9+Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5416422ed7ce4e0d709b570ba9f663b072b4fa47e84b6901e821eac1514c6975","last_reissued_at":"2026-05-18T00:55:34.364352Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:55:34.364352Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1512.07544","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":"2026-05-18T00:55:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G6lRNAiNQlhBhRyoVK9+mm6SZgEUVDC2AV71R91PbTzPVCQhLEF2bort42m9agxg2/pPRqi4vPE976FigtwcAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T06:04:31.423949Z"},"content_sha256":"9782086512e0e1acc4c0719008ae025a3b0f96b5d1325062c0be8beafb08a21b","schema_version":"1.0","event_id":"sha256:9782086512e0e1acc4c0719008ae025a3b0f96b5d1325062c0be8beafb08a21b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:KQLEELWXZZHA24E3K4F2T5TDWB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"\\'Etale homotopy types of moduli stacks of polarised abelian schemes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Frank Neumann, Paola Frediani","submitted_at":"2015-12-23T17:06:04Z","abstract_excerpt":"We determine the Artin-Mazur \\'etale homotopy types of moduli stacks of polarised abelian schemes using transcendental methods and derive some arithmetic properties of the \\'etale fundamental groups of these moduli stacks. Finally we analyse the Torelli morphism between the moduli stacks of algebraic curves and principally polarised abelian schemes from an \\'etale homotopy point of view."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.07544","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":"2026-05-18T00:55:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FMZdlBptyT4dF7yIgIs04aXl34rDGq7YTP0FfbN1rLyOSnqLG+c1qTzL0nHdF7849EF21T41AlE0+K0I6gYTAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T06:04:31.424296Z"},"content_sha256":"e1cfce1d48db2956e60100844ea61f426caf3ef4628d282e629b79a84c2acd7b","schema_version":"1.0","event_id":"sha256:e1cfce1d48db2956e60100844ea61f426caf3ef4628d282e629b79a84c2acd7b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KQLEELWXZZHA24E3K4F2T5TDWB/bundle.json","state_url":"https://pith.science/pith/KQLEELWXZZHA24E3K4F2T5TDWB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KQLEELWXZZHA24E3K4F2T5TDWB/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":"2026-07-03T06:04:31Z","links":{"resolver":"https://pith.science/pith/KQLEELWXZZHA24E3K4F2T5TDWB","bundle":"https://pith.science/pith/KQLEELWXZZHA24E3K4F2T5TDWB/bundle.json","state":"https://pith.science/pith/KQLEELWXZZHA24E3K4F2T5TDWB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KQLEELWXZZHA24E3K4F2T5TDWB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:KQLEELWXZZHA24E3K4F2T5TDWB","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":"5c8b9a69dcc4ffe6b98d48619b3b1662e647535adc7e6448b209b16562e5d02a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-12-23T17:06:04Z","title_canon_sha256":"69d53a7cc003f936463cfd53c5f61b826ce5f5252628a6c9f0230e97df1a1b67"},"schema_version":"1.0","source":{"id":"1512.07544","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.07544","created_at":"2026-05-18T00:55:34Z"},{"alias_kind":"arxiv_version","alias_value":"1512.07544v2","created_at":"2026-05-18T00:55:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.07544","created_at":"2026-05-18T00:55:34Z"},{"alias_kind":"pith_short_12","alias_value":"KQLEELWXZZHA","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"KQLEELWXZZHA24E3","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"KQLEELWX","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:e1cfce1d48db2956e60100844ea61f426caf3ef4628d282e629b79a84c2acd7b","target":"graph","created_at":"2026-05-18T00:55:34Z","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 determine the Artin-Mazur \\'etale homotopy types of moduli stacks of polarised abelian schemes using transcendental methods and derive some arithmetic properties of the \\'etale fundamental groups of these moduli stacks. Finally we analyse the Torelli morphism between the moduli stacks of algebraic curves and principally polarised abelian schemes from an \\'etale homotopy point of view.","authors_text":"Frank Neumann, Paola Frediani","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-12-23T17:06:04Z","title":"\\'Etale homotopy types of moduli stacks of polarised abelian schemes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.07544","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":"sha256:9782086512e0e1acc4c0719008ae025a3b0f96b5d1325062c0be8beafb08a21b","target":"record","created_at":"2026-05-18T00:55:34Z","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":"5c8b9a69dcc4ffe6b98d48619b3b1662e647535adc7e6448b209b16562e5d02a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-12-23T17:06:04Z","title_canon_sha256":"69d53a7cc003f936463cfd53c5f61b826ce5f5252628a6c9f0230e97df1a1b67"},"schema_version":"1.0","source":{"id":"1512.07544","kind":"arxiv","version":2}},"canonical_sha256":"5416422ed7ce4e0d709b570ba9f663b072b4fa47e84b6901e821eac1514c6975","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5416422ed7ce4e0d709b570ba9f663b072b4fa47e84b6901e821eac1514c6975","first_computed_at":"2026-05-18T00:55:34.364352Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:55:34.364352Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vH5JUlxHiolDX1HHr7p2o4tr/2DlNqoKWIAhHCJ2axeBoDwXIdVpFaBBixRmDD66wrXgVVw/zLm5509A9N9+Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:55:34.364814Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.07544","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9782086512e0e1acc4c0719008ae025a3b0f96b5d1325062c0be8beafb08a21b","sha256:e1cfce1d48db2956e60100844ea61f426caf3ef4628d282e629b79a84c2acd7b"],"state_sha256":"ce4ffb92fc6de454363581b38701cde61a1c47a012d8d2292884c88319d3fda9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HbPjW0N3dVFhGj03My/cdG9lWSHP6BUIb5MPRM2ozkwJ/EPcyV11OTeLhWzrJ7zivFjclwXPaRo6Qq1ctuFZDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T06:04:31.426263Z","bundle_sha256":"e7f29c78caa9d051f6df6b898a41928631879c081a99d9e0e4b7d6ea139c1326"}}