{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:3IHQUFYTHS54NAEKE2VMR72M7U","short_pith_number":"pith:3IHQUFYT","canonical_record":{"source":{"id":"1606.07015","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2016-06-22T17:26:17Z","cross_cats_sorted":[],"title_canon_sha256":"618d7b95fb7ca9da2a38fd8e7d2d35f81eaf042bb5467d30f3636ce9f336b53c","abstract_canon_sha256":"dd3741ed38454dd6f0f75cdeefc6870154d3f65f4932f98cf75f1dd039e066be"},"schema_version":"1.0"},"canonical_sha256":"da0f0a17133cbbc6808a26aac8ff4cfd192c642b262c5c10fe1fcdca29b9c4df","source":{"kind":"arxiv","id":"1606.07015","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.07015","created_at":"2026-05-18T01:11:58Z"},{"alias_kind":"arxiv_version","alias_value":"1606.07015v2","created_at":"2026-05-18T01:11:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.07015","created_at":"2026-05-18T01:11:58Z"},{"alias_kind":"pith_short_12","alias_value":"3IHQUFYTHS54","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"3IHQUFYTHS54NAEK","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"3IHQUFYT","created_at":"2026-05-18T12:29:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:3IHQUFYTHS54NAEKE2VMR72M7U","target":"record","payload":{"canonical_record":{"source":{"id":"1606.07015","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2016-06-22T17:26:17Z","cross_cats_sorted":[],"title_canon_sha256":"618d7b95fb7ca9da2a38fd8e7d2d35f81eaf042bb5467d30f3636ce9f336b53c","abstract_canon_sha256":"dd3741ed38454dd6f0f75cdeefc6870154d3f65f4932f98cf75f1dd039e066be"},"schema_version":"1.0"},"canonical_sha256":"da0f0a17133cbbc6808a26aac8ff4cfd192c642b262c5c10fe1fcdca29b9c4df","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:58.732171Z","signature_b64":"5TF2Qiw/wk6zIMoPFgtUfj2/QwmPx373I8y6poeCYgOHyM7Ixh+3rY55xpraflgNzsxT+mccz5wcFWBCoYFqCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"da0f0a17133cbbc6808a26aac8ff4cfd192c642b262c5c10fe1fcdca29b9c4df","last_reissued_at":"2026-05-18T01:11:58.731819Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:58.731819Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.07015","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":"2026-05-18T01:11:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KOr+JRkdmx9S0bKffM4GLxZRpFO2kZAarFyszxyuahgs5VKyF1HEJeBUsGHyk93N/ptBc5EeXLvmP5JbnDYtCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T08:18:08.388371Z"},"content_sha256":"389dd122f08121a06f621f971d57733632fadcd0de9bf8b5447cd3c2f317ba1f","schema_version":"1.0","event_id":"sha256:389dd122f08121a06f621f971d57733632fadcd0de9bf8b5447cd3c2f317ba1f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:3IHQUFYTHS54NAEKE2VMR72M7U","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Joint M-Best-Diverse Labelings as a Parametric Submodular Minimization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CV","authors_text":"Alexander Kirillov, Alexander Shekhovtsov, Bogdan Savchynskyy, Carsten Rother","submitted_at":"2016-06-22T17:26:17Z","abstract_excerpt":"We consider the problem of jointly inferring the M-best diverse labelings for a binary (high-order) submodular energy of a graphical model. Recently, it was shown that this problem can be solved to a global optimum, for many practically interesting diversity measures. It was noted that the labelings are, so-called, nested. This nestedness property also holds for labelings of a class of parametric submodular minimization problems, where different values of the global parameter $\\gamma$ give rise to different solutions. The popular example of the parametric submodular minimization is the monoton"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.07015","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":"2026-05-18T01:11:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lJEbLy264GkIgIDFOU2zRO6cRXHvDXkDPJ5k0Sb5+DYd7KY5EOv4omUSlibmrHr3s6VCcxUGWNe/8RcoP2KDDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T08:18:08.388737Z"},"content_sha256":"e0fd154ef1ca3ad1527703793f2e45bbc3de5072bd7e4ecccd590f7ef711b46e","schema_version":"1.0","event_id":"sha256:e0fd154ef1ca3ad1527703793f2e45bbc3de5072bd7e4ecccd590f7ef711b46e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3IHQUFYTHS54NAEKE2VMR72M7U/bundle.json","state_url":"https://pith.science/pith/3IHQUFYTHS54NAEKE2VMR72M7U/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3IHQUFYTHS54NAEKE2VMR72M7U/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":"2026-06-02T08:18:08Z","links":{"resolver":"https://pith.science/pith/3IHQUFYTHS54NAEKE2VMR72M7U","bundle":"https://pith.science/pith/3IHQUFYTHS54NAEKE2VMR72M7U/bundle.json","state":"https://pith.science/pith/3IHQUFYTHS54NAEKE2VMR72M7U/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3IHQUFYTHS54NAEKE2VMR72M7U/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:3IHQUFYTHS54NAEKE2VMR72M7U","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":"dd3741ed38454dd6f0f75cdeefc6870154d3f65f4932f98cf75f1dd039e066be","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2016-06-22T17:26:17Z","title_canon_sha256":"618d7b95fb7ca9da2a38fd8e7d2d35f81eaf042bb5467d30f3636ce9f336b53c"},"schema_version":"1.0","source":{"id":"1606.07015","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.07015","created_at":"2026-05-18T01:11:58Z"},{"alias_kind":"arxiv_version","alias_value":"1606.07015v2","created_at":"2026-05-18T01:11:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.07015","created_at":"2026-05-18T01:11:58Z"},{"alias_kind":"pith_short_12","alias_value":"3IHQUFYTHS54","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"3IHQUFYTHS54NAEK","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"3IHQUFYT","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:e0fd154ef1ca3ad1527703793f2e45bbc3de5072bd7e4ecccd590f7ef711b46e","target":"graph","created_at":"2026-05-18T01:11:58Z","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 consider the problem of jointly inferring the M-best diverse labelings for a binary (high-order) submodular energy of a graphical model. Recently, it was shown that this problem can be solved to a global optimum, for many practically interesting diversity measures. It was noted that the labelings are, so-called, nested. This nestedness property also holds for labelings of a class of parametric submodular minimization problems, where different values of the global parameter $\\gamma$ give rise to different solutions. The popular example of the parametric submodular minimization is the monoton","authors_text":"Alexander Kirillov, Alexander Shekhovtsov, Bogdan Savchynskyy, Carsten Rother","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2016-06-22T17:26:17Z","title":"Joint M-Best-Diverse Labelings as a Parametric Submodular Minimization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.07015","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":"sha256:389dd122f08121a06f621f971d57733632fadcd0de9bf8b5447cd3c2f317ba1f","target":"record","created_at":"2026-05-18T01:11:58Z","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":"dd3741ed38454dd6f0f75cdeefc6870154d3f65f4932f98cf75f1dd039e066be","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2016-06-22T17:26:17Z","title_canon_sha256":"618d7b95fb7ca9da2a38fd8e7d2d35f81eaf042bb5467d30f3636ce9f336b53c"},"schema_version":"1.0","source":{"id":"1606.07015","kind":"arxiv","version":2}},"canonical_sha256":"da0f0a17133cbbc6808a26aac8ff4cfd192c642b262c5c10fe1fcdca29b9c4df","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"da0f0a17133cbbc6808a26aac8ff4cfd192c642b262c5c10fe1fcdca29b9c4df","first_computed_at":"2026-05-18T01:11:58.731819Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:58.731819Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5TF2Qiw/wk6zIMoPFgtUfj2/QwmPx373I8y6poeCYgOHyM7Ixh+3rY55xpraflgNzsxT+mccz5wcFWBCoYFqCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:58.732171Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.07015","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:389dd122f08121a06f621f971d57733632fadcd0de9bf8b5447cd3c2f317ba1f","sha256:e0fd154ef1ca3ad1527703793f2e45bbc3de5072bd7e4ecccd590f7ef711b46e"],"state_sha256":"cec578f620180c6073fd0f7525d7cd03fc3ef6be991bd2ce4ec96b8a8ca2bc96"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TRURVg1O2WXmx4G511hRBQz4kRCewAQeRNJunjvCku2mBnAX1BK7Y1tk29VmMflz8Of6hrTWw5pgUIdfRo+oBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T08:18:08.390755Z","bundle_sha256":"5adaed78e133b52f8f54707d7aac9a50503ab14802dd62aebe0c8beba02310de"}}