{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:CMLHFZ5HUDGJBCIVLQ262R5ZPN","short_pith_number":"pith:CMLHFZ5H","canonical_record":{"source":{"id":"1406.5054","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-06-19T14:14:02Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"2f10af9b930fe0d7d01b08d99bda0ae25ff94aac092f4ddf17cbaf728ec926ee","abstract_canon_sha256":"c3b9d44db30c984e722151b15dcc18c66ff323c67abc945e005957a9bdde2246"},"schema_version":"1.0"},"canonical_sha256":"131672e7a7a0cc9089155c35ed47b97b52bb19c4d66e79858bd1563b884288c5","source":{"kind":"arxiv","id":"1406.5054","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.5054","created_at":"2026-05-18T00:46:21Z"},{"alias_kind":"arxiv_version","alias_value":"1406.5054v1","created_at":"2026-05-18T00:46:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.5054","created_at":"2026-05-18T00:46:21Z"},{"alias_kind":"pith_short_12","alias_value":"CMLHFZ5HUDGJ","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"CMLHFZ5HUDGJBCIV","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"CMLHFZ5H","created_at":"2026-05-18T12:28:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:CMLHFZ5HUDGJBCIVLQ262R5ZPN","target":"record","payload":{"canonical_record":{"source":{"id":"1406.5054","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-06-19T14:14:02Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"2f10af9b930fe0d7d01b08d99bda0ae25ff94aac092f4ddf17cbaf728ec926ee","abstract_canon_sha256":"c3b9d44db30c984e722151b15dcc18c66ff323c67abc945e005957a9bdde2246"},"schema_version":"1.0"},"canonical_sha256":"131672e7a7a0cc9089155c35ed47b97b52bb19c4d66e79858bd1563b884288c5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:21.375519Z","signature_b64":"AzCeQKKAfy/N7GFXwLuJZCMjifSbwo5KxsEwoD+SIqonmRqyqThI7sI51VdTZDOxCVcNjZ8g2bonhvR6D3yUAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"131672e7a7a0cc9089155c35ed47b97b52bb19c4d66e79858bd1563b884288c5","last_reissued_at":"2026-05-18T00:46:21.374970Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:21.374970Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.5054","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":"2026-05-18T00:46:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ffv05zZrY+Qsgj3PAbUTi1MbhvtV0QD+B40nWtHko+xlwn1Ql18gTT2NA/Iz6eu+uC0QgVqFYpszJ5oBfUvsDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T17:52:48.555789Z"},"content_sha256":"95f9811609090c746e88119436ff96bb2edaed652238158c14c96f4b1e26612e","schema_version":"1.0","event_id":"sha256:95f9811609090c746e88119436ff96bb2edaed652238158c14c96f4b1e26612e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:CMLHFZ5HUDGJBCIVLQ262R5ZPN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-isomorphic Hopf-Galois structures with isomorphic underlying Hopf algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.GR","authors_text":"Anna Rio, Montserrat Vela, Teresa Crespo","submitted_at":"2014-06-19T14:14:02Z","abstract_excerpt":"We give a degree 8 separable extension having two non-isomorphic Hopf-Galois structures with isomorphic underlying Hopf algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.5054","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":"2026-05-18T00:46:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0JodPsd5PKEN/+Trj/DeCGwFanLyc85lpNAL1dV+qZWPYv38aN7CPyyjfUmPqF6fwmnEqYYSj1h+sSjkRBDQAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T17:52:48.556143Z"},"content_sha256":"c3a78d38db0fb4a172a99814a30256708b6cb3a166471b4fede36ecd4bc3b1d6","schema_version":"1.0","event_id":"sha256:c3a78d38db0fb4a172a99814a30256708b6cb3a166471b4fede36ecd4bc3b1d6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CMLHFZ5HUDGJBCIVLQ262R5ZPN/bundle.json","state_url":"https://pith.science/pith/CMLHFZ5HUDGJBCIVLQ262R5ZPN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CMLHFZ5HUDGJBCIVLQ262R5ZPN/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":"2026-06-26T17:52:48Z","links":{"resolver":"https://pith.science/pith/CMLHFZ5HUDGJBCIVLQ262R5ZPN","bundle":"https://pith.science/pith/CMLHFZ5HUDGJBCIVLQ262R5ZPN/bundle.json","state":"https://pith.science/pith/CMLHFZ5HUDGJBCIVLQ262R5ZPN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CMLHFZ5HUDGJBCIVLQ262R5ZPN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:CMLHFZ5HUDGJBCIVLQ262R5ZPN","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":"c3b9d44db30c984e722151b15dcc18c66ff323c67abc945e005957a9bdde2246","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-06-19T14:14:02Z","title_canon_sha256":"2f10af9b930fe0d7d01b08d99bda0ae25ff94aac092f4ddf17cbaf728ec926ee"},"schema_version":"1.0","source":{"id":"1406.5054","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.5054","created_at":"2026-05-18T00:46:21Z"},{"alias_kind":"arxiv_version","alias_value":"1406.5054v1","created_at":"2026-05-18T00:46:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.5054","created_at":"2026-05-18T00:46:21Z"},{"alias_kind":"pith_short_12","alias_value":"CMLHFZ5HUDGJ","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"CMLHFZ5HUDGJBCIV","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"CMLHFZ5H","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:c3a78d38db0fb4a172a99814a30256708b6cb3a166471b4fede36ecd4bc3b1d6","target":"graph","created_at":"2026-05-18T00:46:21Z","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 give a degree 8 separable extension having two non-isomorphic Hopf-Galois structures with isomorphic underlying Hopf algebras.","authors_text":"Anna Rio, Montserrat Vela, Teresa Crespo","cross_cats":["math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-06-19T14:14:02Z","title":"Non-isomorphic Hopf-Galois structures with isomorphic underlying Hopf algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.5054","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":"sha256:95f9811609090c746e88119436ff96bb2edaed652238158c14c96f4b1e26612e","target":"record","created_at":"2026-05-18T00:46:21Z","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":"c3b9d44db30c984e722151b15dcc18c66ff323c67abc945e005957a9bdde2246","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-06-19T14:14:02Z","title_canon_sha256":"2f10af9b930fe0d7d01b08d99bda0ae25ff94aac092f4ddf17cbaf728ec926ee"},"schema_version":"1.0","source":{"id":"1406.5054","kind":"arxiv","version":1}},"canonical_sha256":"131672e7a7a0cc9089155c35ed47b97b52bb19c4d66e79858bd1563b884288c5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"131672e7a7a0cc9089155c35ed47b97b52bb19c4d66e79858bd1563b884288c5","first_computed_at":"2026-05-18T00:46:21.374970Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:21.374970Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AzCeQKKAfy/N7GFXwLuJZCMjifSbwo5KxsEwoD+SIqonmRqyqThI7sI51VdTZDOxCVcNjZ8g2bonhvR6D3yUAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:21.375519Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.5054","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:95f9811609090c746e88119436ff96bb2edaed652238158c14c96f4b1e26612e","sha256:c3a78d38db0fb4a172a99814a30256708b6cb3a166471b4fede36ecd4bc3b1d6"],"state_sha256":"cb810befcff9888dcf4d129b71533fe349c7ee4952c73e206dd0fba78b4f52b2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WvK9DfI++rQ++UIqMlxUSa+O1ry4sYxxJNcvDIu10TpVzpu6ero/g8uF4RlSltjuEuiypo0eEjhcibcL3clTBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T17:52:48.558138Z","bundle_sha256":"b706369b035aa300894ac49f117ae94a4c0fe91c5f8e23c4231fbe44af91d3af"}}