{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:GPEBCZUBRITRRBROQTO2NTD72Q","short_pith_number":"pith:GPEBCZUB","canonical_record":{"source":{"id":"1310.4237","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-10-16T00:49:11Z","cross_cats_sorted":[],"title_canon_sha256":"1d926211b95818cad6409416f07004426a1855050fdde4f1531ffbcee5120e55","abstract_canon_sha256":"25eddf1d51c43e02ec1e7f86919e3e80282bed4f0da8b104b05b1ac59519ba48"},"schema_version":"1.0"},"canonical_sha256":"33c81166818a2718862e84dda6cc7fd4370054fbff9e4ca123c5bfaf3d5e2ad2","source":{"kind":"arxiv","id":"1310.4237","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.4237","created_at":"2026-05-18T03:10:23Z"},{"alias_kind":"arxiv_version","alias_value":"1310.4237v1","created_at":"2026-05-18T03:10:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.4237","created_at":"2026-05-18T03:10:23Z"},{"alias_kind":"pith_short_12","alias_value":"GPEBCZUBRITR","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"GPEBCZUBRITRRBRO","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"GPEBCZUB","created_at":"2026-05-18T12:27:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:GPEBCZUBRITRRBROQTO2NTD72Q","target":"record","payload":{"canonical_record":{"source":{"id":"1310.4237","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-10-16T00:49:11Z","cross_cats_sorted":[],"title_canon_sha256":"1d926211b95818cad6409416f07004426a1855050fdde4f1531ffbcee5120e55","abstract_canon_sha256":"25eddf1d51c43e02ec1e7f86919e3e80282bed4f0da8b104b05b1ac59519ba48"},"schema_version":"1.0"},"canonical_sha256":"33c81166818a2718862e84dda6cc7fd4370054fbff9e4ca123c5bfaf3d5e2ad2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:10:23.466861Z","signature_b64":"NMRa6ZRZoW3GIi1oXbOgIGji383L6lKGw1cCkOyJwGIvtgxZdz2u+GgsVP6tLuirJFk5FBHcFDQiRC7l2b+TAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"33c81166818a2718862e84dda6cc7fd4370054fbff9e4ca123c5bfaf3d5e2ad2","last_reissued_at":"2026-05-18T03:10:23.466142Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:10:23.466142Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.4237","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":"2026-05-18T03:10:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jOV32BONC5nmr0y8urZbl15lVY1HfQowCf7VlV20NoqDz2+ZPWOjxCy4PacXd7S9ACqkBChUU9itVueVPCZkDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T17:31:42.610127Z"},"content_sha256":"c87f7d90d5d9d1c038b886ae3fa09de5e9414c02bd54a49398472471f41eda1b","schema_version":"1.0","event_id":"sha256:c87f7d90d5d9d1c038b886ae3fa09de5e9414c02bd54a49398472471f41eda1b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:GPEBCZUBRITRRBROQTO2NTD72Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Darmon points on elliptic curves over totally real fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Amod Agashe, Mak Trifkovic","submitted_at":"2013-10-16T00:49:11Z","abstract_excerpt":"We show how to construct Darmon points on elliptic curves over totally real fields."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.4237","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":"2026-05-18T03:10:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jQ5JQZeK1TApmJJW7gxcwUJR/6v4xUxnH0lnBBqlk8NTfYED1vm9PRRAzaiU/FMGBrOcAxoee7GiHa8AVGHPAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T17:31:42.610474Z"},"content_sha256":"b7730a3f16e76916e053c9efc79171c2d9cf60596f4eb218f4ffd8528d9d0c0e","schema_version":"1.0","event_id":"sha256:b7730a3f16e76916e053c9efc79171c2d9cf60596f4eb218f4ffd8528d9d0c0e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GPEBCZUBRITRRBROQTO2NTD72Q/bundle.json","state_url":"https://pith.science/pith/GPEBCZUBRITRRBROQTO2NTD72Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GPEBCZUBRITRRBROQTO2NTD72Q/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":"2026-06-03T17:31:42Z","links":{"resolver":"https://pith.science/pith/GPEBCZUBRITRRBROQTO2NTD72Q","bundle":"https://pith.science/pith/GPEBCZUBRITRRBROQTO2NTD72Q/bundle.json","state":"https://pith.science/pith/GPEBCZUBRITRRBROQTO2NTD72Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GPEBCZUBRITRRBROQTO2NTD72Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:GPEBCZUBRITRRBROQTO2NTD72Q","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":"25eddf1d51c43e02ec1e7f86919e3e80282bed4f0da8b104b05b1ac59519ba48","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-10-16T00:49:11Z","title_canon_sha256":"1d926211b95818cad6409416f07004426a1855050fdde4f1531ffbcee5120e55"},"schema_version":"1.0","source":{"id":"1310.4237","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.4237","created_at":"2026-05-18T03:10:23Z"},{"alias_kind":"arxiv_version","alias_value":"1310.4237v1","created_at":"2026-05-18T03:10:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.4237","created_at":"2026-05-18T03:10:23Z"},{"alias_kind":"pith_short_12","alias_value":"GPEBCZUBRITR","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"GPEBCZUBRITRRBRO","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"GPEBCZUB","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:b7730a3f16e76916e053c9efc79171c2d9cf60596f4eb218f4ffd8528d9d0c0e","target":"graph","created_at":"2026-05-18T03:10:23Z","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 show how to construct Darmon points on elliptic curves over totally real fields.","authors_text":"Amod Agashe, Mak Trifkovic","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-10-16T00:49:11Z","title":"Darmon points on elliptic curves over totally real fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.4237","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:c87f7d90d5d9d1c038b886ae3fa09de5e9414c02bd54a49398472471f41eda1b","target":"record","created_at":"2026-05-18T03:10:23Z","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":"25eddf1d51c43e02ec1e7f86919e3e80282bed4f0da8b104b05b1ac59519ba48","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-10-16T00:49:11Z","title_canon_sha256":"1d926211b95818cad6409416f07004426a1855050fdde4f1531ffbcee5120e55"},"schema_version":"1.0","source":{"id":"1310.4237","kind":"arxiv","version":1}},"canonical_sha256":"33c81166818a2718862e84dda6cc7fd4370054fbff9e4ca123c5bfaf3d5e2ad2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"33c81166818a2718862e84dda6cc7fd4370054fbff9e4ca123c5bfaf3d5e2ad2","first_computed_at":"2026-05-18T03:10:23.466142Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:10:23.466142Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NMRa6ZRZoW3GIi1oXbOgIGji383L6lKGw1cCkOyJwGIvtgxZdz2u+GgsVP6tLuirJFk5FBHcFDQiRC7l2b+TAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:10:23.466861Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.4237","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c87f7d90d5d9d1c038b886ae3fa09de5e9414c02bd54a49398472471f41eda1b","sha256:b7730a3f16e76916e053c9efc79171c2d9cf60596f4eb218f4ffd8528d9d0c0e"],"state_sha256":"465d79448ed245ca22b60ad9c6085e31135fb0f495db5815c50c0749b6e37514"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"avIznP8iB1W38S+Ok7XcPpUoLNQAhGZQMaClLjQ6P3RyexAqbdRxFS79zXQtMrbxbkpbd6QZuUXj1aUeP08dAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T17:31:42.612426Z","bundle_sha256":"401346606733cb229814cfe5f5cceb7246a1bc9b78661a2352ea33c4011bc767"}}