{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:HDSIVTSRMMTYFRO72O4BEU7IA2","short_pith_number":"pith:HDSIVTSR","canonical_record":{"source":{"id":"1604.05741","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-04-19T20:39:17Z","cross_cats_sorted":[],"title_canon_sha256":"91f74963798ff5323488fa29341c5f834de4e3957d21e608ab052ab8804c64d9","abstract_canon_sha256":"33d3822b7ed078ce1d8ad24cf0fcd6a61fb7ce9342c0dd504d34c7fae1a89b40"},"schema_version":"1.0"},"canonical_sha256":"38e48ace51632782c5dfd3b81253e806bf6ed619853583f0469e741c8c7ad9d7","source":{"kind":"arxiv","id":"1604.05741","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.05741","created_at":"2026-05-18T00:51:57Z"},{"alias_kind":"arxiv_version","alias_value":"1604.05741v2","created_at":"2026-05-18T00:51:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.05741","created_at":"2026-05-18T00:51:57Z"},{"alias_kind":"pith_short_12","alias_value":"HDSIVTSRMMTY","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"HDSIVTSRMMTYFRO7","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"HDSIVTSR","created_at":"2026-05-18T12:30:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:HDSIVTSRMMTYFRO72O4BEU7IA2","target":"record","payload":{"canonical_record":{"source":{"id":"1604.05741","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-04-19T20:39:17Z","cross_cats_sorted":[],"title_canon_sha256":"91f74963798ff5323488fa29341c5f834de4e3957d21e608ab052ab8804c64d9","abstract_canon_sha256":"33d3822b7ed078ce1d8ad24cf0fcd6a61fb7ce9342c0dd504d34c7fae1a89b40"},"schema_version":"1.0"},"canonical_sha256":"38e48ace51632782c5dfd3b81253e806bf6ed619853583f0469e741c8c7ad9d7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:57.959927Z","signature_b64":"VLkgtbeL758tnfJjIzdAgNT+wjY1Tnez4fc9spJZ5IUfWtnune1V0V/rJskhD/rL6W5Sj0VtdE/UIaIG5Bi/AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"38e48ace51632782c5dfd3b81253e806bf6ed619853583f0469e741c8c7ad9d7","last_reissued_at":"2026-05-18T00:51:57.959427Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:57.959427Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.05741","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":"2026-05-18T00:51:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nb/fRAQPKJcptvmcyd9s5j5tSQNjmUk5APl/FUfdKywTgPLi6dfgpmaa3r+SlEiKr9Sse+MBZ1D23jIMUNrnDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T16:10:10.110998Z"},"content_sha256":"d21b62cf6674893917c24c8ed6f9b9e228e4524dccd42cd3cc303916cab23598","schema_version":"1.0","event_id":"sha256:d21b62cf6674893917c24c8ed6f9b9e228e4524dccd42cd3cc303916cab23598"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:HDSIVTSRMMTYFRO72O4BEU7IA2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The elliptic torsion anomalous conjecture in codimension 2","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Evelina Viada, Patrik Hubschmid","submitted_at":"2016-04-19T20:39:17Z","abstract_excerpt":"The torsion anomalous conjecture states that for any variety V in an abelian variety there are only finitely many maximal V-torsion anomalous varieties. We prove this conjecture for V of codimension 2 in a product E^N of any elliptic curve E. This was known only when E has CM. We also give an effective upper bound for the normalized height of these maximal V-torsion anomalous varieties."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.05741","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":"2026-05-18T00:51:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6wosvRdG2SG4Zz6iK7aweGIKfbipCBEi6sAjXBJfBj6mXW/5F89FwmrkSrDrrBo/2kuiMhTlVpNMoDCZjyDzCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T16:10:10.111358Z"},"content_sha256":"15001f47ef7e271f8ff3e12a22fd2068911d65e22b99cfae0ae0da39b154403a","schema_version":"1.0","event_id":"sha256:15001f47ef7e271f8ff3e12a22fd2068911d65e22b99cfae0ae0da39b154403a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HDSIVTSRMMTYFRO72O4BEU7IA2/bundle.json","state_url":"https://pith.science/pith/HDSIVTSRMMTYFRO72O4BEU7IA2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HDSIVTSRMMTYFRO72O4BEU7IA2/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":"2026-06-24T16:10:10Z","links":{"resolver":"https://pith.science/pith/HDSIVTSRMMTYFRO72O4BEU7IA2","bundle":"https://pith.science/pith/HDSIVTSRMMTYFRO72O4BEU7IA2/bundle.json","state":"https://pith.science/pith/HDSIVTSRMMTYFRO72O4BEU7IA2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HDSIVTSRMMTYFRO72O4BEU7IA2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:HDSIVTSRMMTYFRO72O4BEU7IA2","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":"33d3822b7ed078ce1d8ad24cf0fcd6a61fb7ce9342c0dd504d34c7fae1a89b40","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-04-19T20:39:17Z","title_canon_sha256":"91f74963798ff5323488fa29341c5f834de4e3957d21e608ab052ab8804c64d9"},"schema_version":"1.0","source":{"id":"1604.05741","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.05741","created_at":"2026-05-18T00:51:57Z"},{"alias_kind":"arxiv_version","alias_value":"1604.05741v2","created_at":"2026-05-18T00:51:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.05741","created_at":"2026-05-18T00:51:57Z"},{"alias_kind":"pith_short_12","alias_value":"HDSIVTSRMMTY","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"HDSIVTSRMMTYFRO7","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"HDSIVTSR","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:15001f47ef7e271f8ff3e12a22fd2068911d65e22b99cfae0ae0da39b154403a","target":"graph","created_at":"2026-05-18T00:51:57Z","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":"The torsion anomalous conjecture states that for any variety V in an abelian variety there are only finitely many maximal V-torsion anomalous varieties. We prove this conjecture for V of codimension 2 in a product E^N of any elliptic curve E. This was known only when E has CM. We also give an effective upper bound for the normalized height of these maximal V-torsion anomalous varieties.","authors_text":"Evelina Viada, Patrik Hubschmid","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-04-19T20:39:17Z","title":"The elliptic torsion anomalous conjecture in codimension 2"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.05741","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:d21b62cf6674893917c24c8ed6f9b9e228e4524dccd42cd3cc303916cab23598","target":"record","created_at":"2026-05-18T00:51:57Z","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":"33d3822b7ed078ce1d8ad24cf0fcd6a61fb7ce9342c0dd504d34c7fae1a89b40","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-04-19T20:39:17Z","title_canon_sha256":"91f74963798ff5323488fa29341c5f834de4e3957d21e608ab052ab8804c64d9"},"schema_version":"1.0","source":{"id":"1604.05741","kind":"arxiv","version":2}},"canonical_sha256":"38e48ace51632782c5dfd3b81253e806bf6ed619853583f0469e741c8c7ad9d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"38e48ace51632782c5dfd3b81253e806bf6ed619853583f0469e741c8c7ad9d7","first_computed_at":"2026-05-18T00:51:57.959427Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:57.959427Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VLkgtbeL758tnfJjIzdAgNT+wjY1Tnez4fc9spJZ5IUfWtnune1V0V/rJskhD/rL6W5Sj0VtdE/UIaIG5Bi/AA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:57.959927Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.05741","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d21b62cf6674893917c24c8ed6f9b9e228e4524dccd42cd3cc303916cab23598","sha256:15001f47ef7e271f8ff3e12a22fd2068911d65e22b99cfae0ae0da39b154403a"],"state_sha256":"b5fea5c7855fa0d0cc7f3f5bc4b34db30f3a5fd8ab4b8fabbfcb273b8f5be8e1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vB/6doKr74dGTZT3fksptQLmfU5j++vR4ZYJliDDu/rElnCLdwHxFTOW0wsPr5aFcmeUmPEmfLfV/gRQ6+/zAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T16:10:10.113235Z","bundle_sha256":"078f8730b43c4990d2b2f6760367dd308837c6a668334fcf3c3fae1541de2bee"}}