{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:VICOLPRB3O5S6NAYP2DKVJESED","short_pith_number":"pith:VICOLPRB","canonical_record":{"source":{"id":"1705.02087","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2017-05-05T05:23:15Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"000cd44b0801816a3c601918b60c13fce3b22af1aa51cab561c3c6dbe86c8a1e","abstract_canon_sha256":"a0623ac1e393f4d6169cb4da47fb005f4a249bbc06dec0967d16941e7f5db63a"},"schema_version":"1.0"},"canonical_sha256":"aa04e5be21dbbb2f34187e86aaa49220fb4ce8be153371b422f06f2e96c66d90","source":{"kind":"arxiv","id":"1705.02087","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.02087","created_at":"2026-05-18T00:45:00Z"},{"alias_kind":"arxiv_version","alias_value":"1705.02087v1","created_at":"2026-05-18T00:45:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.02087","created_at":"2026-05-18T00:45:00Z"},{"alias_kind":"pith_short_12","alias_value":"VICOLPRB3O5S","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VICOLPRB3O5S6NAY","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VICOLPRB","created_at":"2026-05-18T12:31:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:VICOLPRB3O5S6NAYP2DKVJESED","target":"record","payload":{"canonical_record":{"source":{"id":"1705.02087","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2017-05-05T05:23:15Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"000cd44b0801816a3c601918b60c13fce3b22af1aa51cab561c3c6dbe86c8a1e","abstract_canon_sha256":"a0623ac1e393f4d6169cb4da47fb005f4a249bbc06dec0967d16941e7f5db63a"},"schema_version":"1.0"},"canonical_sha256":"aa04e5be21dbbb2f34187e86aaa49220fb4ce8be153371b422f06f2e96c66d90","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:00.653763Z","signature_b64":"oyOuqtTtd8dyj0oGOiEhjGYT1XfHn8IX6j/XTMlTJD1U06Qs88ZScz6/HMOfWm2IlukTLCgaAegC81elIGEvCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aa04e5be21dbbb2f34187e86aaa49220fb4ce8be153371b422f06f2e96c66d90","last_reissued_at":"2026-05-18T00:45:00.653246Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:00.653246Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.02087","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":"2026-05-18T00:45:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zc/exIf46GSSpYzASds3lcXI4iod4+qk5eEZOjAsMAax2dzf8PGXufbkpcXe/COXACEa1yHuQF73I9Lz16vSCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T13:47:41.940617Z"},"content_sha256":"4d539b6e9f66130c4377de5ee555ab36490517fc41c1a17a86359672cb4db423","schema_version":"1.0","event_id":"sha256:4d539b6e9f66130c4377de5ee555ab36490517fc41c1a17a86359672cb4db423"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:VICOLPRB3O5S6NAYP2DKVJESED","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A fundamental theorem of asset pricing for continuous time large financial markets in a two filtration setting","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"q-fin.MF","authors_text":"Christa Cuchiero, Irene Klein, Josef Teichmann","submitted_at":"2017-05-05T05:23:15Z","abstract_excerpt":"We present a version of the fundamental theorem of asset pricing (FTAP) for continuous time large financial markets with two filtrations in an $L^p$-setting for $ 1 \\leq p < \\infty$. This extends the results of Yuri Kabanov and Christophe Stricker \\cite{KS:06} to continuous time and to a large financial market setting, however, still preserving the simplicity of the discrete time setting. On the other hand it generalizes Stricker's $L^p$-version of FTAP \\cite{S:90} towards a setting with two filtrations. We do neither assume that price processes are semi-martigales, (and it does not follow due"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.02087","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":"2026-05-18T00:45:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HUj/cUCuqEuCuwPvbNp6mvStzoCCXdWJaE0qohk0tSjtTWg47hwZ4rV0B2QXTEsc0gIyMWZEKVf33uQOgxceAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T13:47:41.940967Z"},"content_sha256":"b3f090ea0d8fefee049ebfd423f1a7b838bc1e47bfbb67da68e57a988a1a0c6f","schema_version":"1.0","event_id":"sha256:b3f090ea0d8fefee049ebfd423f1a7b838bc1e47bfbb67da68e57a988a1a0c6f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VICOLPRB3O5S6NAYP2DKVJESED/bundle.json","state_url":"https://pith.science/pith/VICOLPRB3O5S6NAYP2DKVJESED/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VICOLPRB3O5S6NAYP2DKVJESED/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":"2026-06-04T13:47:41Z","links":{"resolver":"https://pith.science/pith/VICOLPRB3O5S6NAYP2DKVJESED","bundle":"https://pith.science/pith/VICOLPRB3O5S6NAYP2DKVJESED/bundle.json","state":"https://pith.science/pith/VICOLPRB3O5S6NAYP2DKVJESED/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VICOLPRB3O5S6NAYP2DKVJESED/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:VICOLPRB3O5S6NAYP2DKVJESED","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":"a0623ac1e393f4d6169cb4da47fb005f4a249bbc06dec0967d16941e7f5db63a","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2017-05-05T05:23:15Z","title_canon_sha256":"000cd44b0801816a3c601918b60c13fce3b22af1aa51cab561c3c6dbe86c8a1e"},"schema_version":"1.0","source":{"id":"1705.02087","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.02087","created_at":"2026-05-18T00:45:00Z"},{"alias_kind":"arxiv_version","alias_value":"1705.02087v1","created_at":"2026-05-18T00:45:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.02087","created_at":"2026-05-18T00:45:00Z"},{"alias_kind":"pith_short_12","alias_value":"VICOLPRB3O5S","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VICOLPRB3O5S6NAY","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VICOLPRB","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:b3f090ea0d8fefee049ebfd423f1a7b838bc1e47bfbb67da68e57a988a1a0c6f","target":"graph","created_at":"2026-05-18T00:45:00Z","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 present a version of the fundamental theorem of asset pricing (FTAP) for continuous time large financial markets with two filtrations in an $L^p$-setting for $ 1 \\leq p < \\infty$. This extends the results of Yuri Kabanov and Christophe Stricker \\cite{KS:06} to continuous time and to a large financial market setting, however, still preserving the simplicity of the discrete time setting. On the other hand it generalizes Stricker's $L^p$-version of FTAP \\cite{S:90} towards a setting with two filtrations. We do neither assume that price processes are semi-martigales, (and it does not follow due","authors_text":"Christa Cuchiero, Irene Klein, Josef Teichmann","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2017-05-05T05:23:15Z","title":"A fundamental theorem of asset pricing for continuous time large financial markets in a two filtration setting"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.02087","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":"sha256:4d539b6e9f66130c4377de5ee555ab36490517fc41c1a17a86359672cb4db423","target":"record","created_at":"2026-05-18T00:45:00Z","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":"a0623ac1e393f4d6169cb4da47fb005f4a249bbc06dec0967d16941e7f5db63a","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2017-05-05T05:23:15Z","title_canon_sha256":"000cd44b0801816a3c601918b60c13fce3b22af1aa51cab561c3c6dbe86c8a1e"},"schema_version":"1.0","source":{"id":"1705.02087","kind":"arxiv","version":1}},"canonical_sha256":"aa04e5be21dbbb2f34187e86aaa49220fb4ce8be153371b422f06f2e96c66d90","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aa04e5be21dbbb2f34187e86aaa49220fb4ce8be153371b422f06f2e96c66d90","first_computed_at":"2026-05-18T00:45:00.653246Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:00.653246Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oyOuqtTtd8dyj0oGOiEhjGYT1XfHn8IX6j/XTMlTJD1U06Qs88ZScz6/HMOfWm2IlukTLCgaAegC81elIGEvCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:00.653763Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.02087","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4d539b6e9f66130c4377de5ee555ab36490517fc41c1a17a86359672cb4db423","sha256:b3f090ea0d8fefee049ebfd423f1a7b838bc1e47bfbb67da68e57a988a1a0c6f"],"state_sha256":"9c6377f5060c514f43fd6693abf831226255b2f893b2c0a5540935a409f09112"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"doMKyBPtNX3vyeTFPLhPG1SKwbBrgHrRrpkeLsa0qPlw6DF3XyYfGtFL3uIJ7pSrtbGU8+S0QA/rLnxEA/CfBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T13:47:41.943009Z","bundle_sha256":"6d45bfddd1846c86892c9f2d98302c71415c8f5cc240d870b2b20223131c4d97"}}