{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:TDBBVFUWIQ6ZLVWLV3VXEXWEZ6","short_pith_number":"pith:TDBBVFUW","canonical_record":{"source":{"id":"1605.07939","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-05-25T15:41:33Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"efe07be8e5456ff8e91fa9fe7802d3b3d397a240015d9396c8a3b0bd6df34d2c","abstract_canon_sha256":"9c7c267045f2cc4bfd9b106a4b2276da6063869146af3b00f90fc3cc94a813ca"},"schema_version":"1.0"},"canonical_sha256":"98c21a9696443d95d6cbaeeb725ec4cfae9688125e33b5a6888b31620421d4ab","source":{"kind":"arxiv","id":"1605.07939","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.07939","created_at":"2026-05-18T01:13:38Z"},{"alias_kind":"arxiv_version","alias_value":"1605.07939v1","created_at":"2026-05-18T01:13:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.07939","created_at":"2026-05-18T01:13:38Z"},{"alias_kind":"pith_short_12","alias_value":"TDBBVFUWIQ6Z","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"TDBBVFUWIQ6ZLVWL","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"TDBBVFUW","created_at":"2026-05-18T12:30:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:TDBBVFUWIQ6ZLVWLV3VXEXWEZ6","target":"record","payload":{"canonical_record":{"source":{"id":"1605.07939","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-05-25T15:41:33Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"efe07be8e5456ff8e91fa9fe7802d3b3d397a240015d9396c8a3b0bd6df34d2c","abstract_canon_sha256":"9c7c267045f2cc4bfd9b106a4b2276da6063869146af3b00f90fc3cc94a813ca"},"schema_version":"1.0"},"canonical_sha256":"98c21a9696443d95d6cbaeeb725ec4cfae9688125e33b5a6888b31620421d4ab","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:13:38.762950Z","signature_b64":"1YZNzqgNJBHMn63NWmsbjO0+RkzFOAXrq7KtIgdso3wmhT4WIz2NZG3JIselvq+MUmce7UOO0jzjcQk4taSPCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"98c21a9696443d95d6cbaeeb725ec4cfae9688125e33b5a6888b31620421d4ab","last_reissued_at":"2026-05-18T01:13:38.762285Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:13:38.762285Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.07939","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":"2026-05-18T01:13:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZMbr9xK2AQboOhK0ENVS8nFBStTQjydQxORozDTgxt3LYLf+35vzu0L9kAxKvJN+zINzpcBTO90zS4fVQN4kAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T20:12:59.784447Z"},"content_sha256":"376a7b22c52f4cefce989524d8f48dad86f019e75289f7c788bed0d7ccc3184d","schema_version":"1.0","event_id":"sha256:376a7b22c52f4cefce989524d8f48dad86f019e75289f7c788bed0d7ccc3184d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:TDBBVFUWIQ6ZLVWLV3VXEXWEZ6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Convex integral functionals of processes of bounded variation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.OC","authors_text":"Ari-Pekka Perkki\\\"o, Teemu Pennanen","submitted_at":"2016-05-25T15:41:33Z","abstract_excerpt":"This article characterizes conjugates and subdifferentials of convex integral functionals over the linear space $\\mathcal N^\\infty$ of stochastic processes of essentially bounded variation (BV) when $\\mathcal N^\\infty$ is identified with the Banach dual of the space of regular processes. Our proofs are based on new results on the interchange of integration and minimization of integral functionals over BV processes. Under mild conditions, the domain of the conjugate is shown to be contained in the space of semimartingales which leads to several applications in the duality theory in stochastic c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.07939","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":"2026-05-18T01:13:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XCsm7zeaIQ2q5A7EJI+aS3gF3Q3qlMKuxIOHGRquyjS381MWORLdNcKQNaN2Cg7RzLZbZJwBvObQ/KAQcFE0Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T20:12:59.784790Z"},"content_sha256":"0b0059141f0420ef0d403f0d152f800707a82fc525227c0374e119574e4df663","schema_version":"1.0","event_id":"sha256:0b0059141f0420ef0d403f0d152f800707a82fc525227c0374e119574e4df663"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TDBBVFUWIQ6ZLVWLV3VXEXWEZ6/bundle.json","state_url":"https://pith.science/pith/TDBBVFUWIQ6ZLVWLV3VXEXWEZ6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TDBBVFUWIQ6ZLVWLV3VXEXWEZ6/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":"2026-06-01T20:12:59Z","links":{"resolver":"https://pith.science/pith/TDBBVFUWIQ6ZLVWLV3VXEXWEZ6","bundle":"https://pith.science/pith/TDBBVFUWIQ6ZLVWLV3VXEXWEZ6/bundle.json","state":"https://pith.science/pith/TDBBVFUWIQ6ZLVWLV3VXEXWEZ6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TDBBVFUWIQ6ZLVWLV3VXEXWEZ6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:TDBBVFUWIQ6ZLVWLV3VXEXWEZ6","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":"9c7c267045f2cc4bfd9b106a4b2276da6063869146af3b00f90fc3cc94a813ca","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-05-25T15:41:33Z","title_canon_sha256":"efe07be8e5456ff8e91fa9fe7802d3b3d397a240015d9396c8a3b0bd6df34d2c"},"schema_version":"1.0","source":{"id":"1605.07939","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.07939","created_at":"2026-05-18T01:13:38Z"},{"alias_kind":"arxiv_version","alias_value":"1605.07939v1","created_at":"2026-05-18T01:13:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.07939","created_at":"2026-05-18T01:13:38Z"},{"alias_kind":"pith_short_12","alias_value":"TDBBVFUWIQ6Z","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"TDBBVFUWIQ6ZLVWL","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"TDBBVFUW","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:0b0059141f0420ef0d403f0d152f800707a82fc525227c0374e119574e4df663","target":"graph","created_at":"2026-05-18T01:13:38Z","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":"This article characterizes conjugates and subdifferentials of convex integral functionals over the linear space $\\mathcal N^\\infty$ of stochastic processes of essentially bounded variation (BV) when $\\mathcal N^\\infty$ is identified with the Banach dual of the space of regular processes. Our proofs are based on new results on the interchange of integration and minimization of integral functionals over BV processes. Under mild conditions, the domain of the conjugate is shown to be contained in the space of semimartingales which leads to several applications in the duality theory in stochastic c","authors_text":"Ari-Pekka Perkki\\\"o, Teemu Pennanen","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-05-25T15:41:33Z","title":"Convex integral functionals of processes of bounded variation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.07939","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":"sha256:376a7b22c52f4cefce989524d8f48dad86f019e75289f7c788bed0d7ccc3184d","target":"record","created_at":"2026-05-18T01:13:38Z","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":"9c7c267045f2cc4bfd9b106a4b2276da6063869146af3b00f90fc3cc94a813ca","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-05-25T15:41:33Z","title_canon_sha256":"efe07be8e5456ff8e91fa9fe7802d3b3d397a240015d9396c8a3b0bd6df34d2c"},"schema_version":"1.0","source":{"id":"1605.07939","kind":"arxiv","version":1}},"canonical_sha256":"98c21a9696443d95d6cbaeeb725ec4cfae9688125e33b5a6888b31620421d4ab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"98c21a9696443d95d6cbaeeb725ec4cfae9688125e33b5a6888b31620421d4ab","first_computed_at":"2026-05-18T01:13:38.762285Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:13:38.762285Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1YZNzqgNJBHMn63NWmsbjO0+RkzFOAXrq7KtIgdso3wmhT4WIz2NZG3JIselvq+MUmce7UOO0jzjcQk4taSPCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:13:38.762950Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.07939","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:376a7b22c52f4cefce989524d8f48dad86f019e75289f7c788bed0d7ccc3184d","sha256:0b0059141f0420ef0d403f0d152f800707a82fc525227c0374e119574e4df663"],"state_sha256":"37b4f7da83afd391d691b0e7c081056678a2d1d3ec13652e92cc610685b56ab5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/Enxg0Zm+B22V+Y6Zkb8H/xCVyofqUzHfCEvtp+T8ER3MOWZpLG+A44lkXElTmOPOHJdbIEHfl5N+G6hzkaGDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T20:12:59.786655Z","bundle_sha256":"4deea2bbbc8cf7bee82bdfd14b2c214ffd251d501b300d0c8d71ddf6ff3b2c97"}}