{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:EX5D2G2S54N2MS2XHFTM5A65IN","short_pith_number":"pith:EX5D2G2S","canonical_record":{"source":{"id":"1702.00168","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-02-01T09:07:35Z","cross_cats_sorted":[],"title_canon_sha256":"47d8235fb1d6a6ee6002786fd0bfa0f9a23845a6c43f2375ca45137b26206477","abstract_canon_sha256":"be1eb588c3e775416d53630704b76240a83b7edc2011c2fc9877d92454974d37"},"schema_version":"1.0"},"canonical_sha256":"25fa3d1b52ef1ba64b573966ce83dd4363d5680f2eea2ed5f2763993e985b606","source":{"kind":"arxiv","id":"1702.00168","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.00168","created_at":"2026-05-18T00:35:55Z"},{"alias_kind":"arxiv_version","alias_value":"1702.00168v2","created_at":"2026-05-18T00:35:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.00168","created_at":"2026-05-18T00:35:55Z"},{"alias_kind":"pith_short_12","alias_value":"EX5D2G2S54N2","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EX5D2G2S54N2MS2X","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EX5D2G2S","created_at":"2026-05-18T12:31:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:EX5D2G2S54N2MS2XHFTM5A65IN","target":"record","payload":{"canonical_record":{"source":{"id":"1702.00168","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-02-01T09:07:35Z","cross_cats_sorted":[],"title_canon_sha256":"47d8235fb1d6a6ee6002786fd0bfa0f9a23845a6c43f2375ca45137b26206477","abstract_canon_sha256":"be1eb588c3e775416d53630704b76240a83b7edc2011c2fc9877d92454974d37"},"schema_version":"1.0"},"canonical_sha256":"25fa3d1b52ef1ba64b573966ce83dd4363d5680f2eea2ed5f2763993e985b606","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:55.395290Z","signature_b64":"lU+IZSR0u1Ppw2Pc6FytmsoXP0ufqsxdeWRBw+My8CCzIGztIKgGB7cLTsDGOB0Cv5MrgT1BwV3I35MQVMqoBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"25fa3d1b52ef1ba64b573966ce83dd4363d5680f2eea2ed5f2763993e985b606","last_reissued_at":"2026-05-18T00:35:55.394944Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:55.394944Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.00168","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":"2026-05-18T00:35:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vkXJJQ8EF/STT6Qk3V46ix7GG3qV0ztJ6MYBmGoQ/fL/iHM03gACiuIX1L3Vxf+DwSKMSg6frJNJ/ZEua7reAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T22:09:53.734633Z"},"content_sha256":"c1a819d11f71e3c0ed245f0acb73b070437122ad59782ccc8fbf720da0efee80","schema_version":"1.0","event_id":"sha256:c1a819d11f71e3c0ed245f0acb73b070437122ad59782ccc8fbf720da0efee80"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:EX5D2G2S54N2MS2XHFTM5A65IN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A partial answer to the Demyanov-Ryabova conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Aris Daniilidis, Colin Petitjean","submitted_at":"2017-02-01T09:07:35Z","abstract_excerpt":"In this work we are interested in the Demyanov--Ryabova conjecture for a finite family of polytopes. The conjecture asserts that after a finite number of iterations (successive dualizations), either a 1-cycle or a 2-cycle eventually comes up. In this work we establish a strong version of this conjecture under the assumption that the initial family contains \"enough minimal polytopes\" whose extreme points are \"well placed\"."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.00168","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":"2026-05-18T00:35:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nRRHHusFgLsSxCN1WPe/K9ONbc/DM86T3X/QvW4C4v+FUCVrg0KoHlnF9Neh1KrMXulQmGq9MJj1piwHhWBtBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T22:09:53.734974Z"},"content_sha256":"0380dada5da60d4b89a9758609c9b32d98172258850dbd6c75d50f13939dba2d","schema_version":"1.0","event_id":"sha256:0380dada5da60d4b89a9758609c9b32d98172258850dbd6c75d50f13939dba2d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EX5D2G2S54N2MS2XHFTM5A65IN/bundle.json","state_url":"https://pith.science/pith/EX5D2G2S54N2MS2XHFTM5A65IN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EX5D2G2S54N2MS2XHFTM5A65IN/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":"2026-06-20T22:09:53Z","links":{"resolver":"https://pith.science/pith/EX5D2G2S54N2MS2XHFTM5A65IN","bundle":"https://pith.science/pith/EX5D2G2S54N2MS2XHFTM5A65IN/bundle.json","state":"https://pith.science/pith/EX5D2G2S54N2MS2XHFTM5A65IN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EX5D2G2S54N2MS2XHFTM5A65IN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:EX5D2G2S54N2MS2XHFTM5A65IN","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":"be1eb588c3e775416d53630704b76240a83b7edc2011c2fc9877d92454974d37","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-02-01T09:07:35Z","title_canon_sha256":"47d8235fb1d6a6ee6002786fd0bfa0f9a23845a6c43f2375ca45137b26206477"},"schema_version":"1.0","source":{"id":"1702.00168","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.00168","created_at":"2026-05-18T00:35:55Z"},{"alias_kind":"arxiv_version","alias_value":"1702.00168v2","created_at":"2026-05-18T00:35:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.00168","created_at":"2026-05-18T00:35:55Z"},{"alias_kind":"pith_short_12","alias_value":"EX5D2G2S54N2","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EX5D2G2S54N2MS2X","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EX5D2G2S","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:0380dada5da60d4b89a9758609c9b32d98172258850dbd6c75d50f13939dba2d","target":"graph","created_at":"2026-05-18T00:35:55Z","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":"In this work we are interested in the Demyanov--Ryabova conjecture for a finite family of polytopes. The conjecture asserts that after a finite number of iterations (successive dualizations), either a 1-cycle or a 2-cycle eventually comes up. In this work we establish a strong version of this conjecture under the assumption that the initial family contains \"enough minimal polytopes\" whose extreme points are \"well placed\".","authors_text":"Aris Daniilidis, Colin Petitjean","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-02-01T09:07:35Z","title":"A partial answer to the Demyanov-Ryabova conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.00168","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:c1a819d11f71e3c0ed245f0acb73b070437122ad59782ccc8fbf720da0efee80","target":"record","created_at":"2026-05-18T00:35:55Z","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":"be1eb588c3e775416d53630704b76240a83b7edc2011c2fc9877d92454974d37","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-02-01T09:07:35Z","title_canon_sha256":"47d8235fb1d6a6ee6002786fd0bfa0f9a23845a6c43f2375ca45137b26206477"},"schema_version":"1.0","source":{"id":"1702.00168","kind":"arxiv","version":2}},"canonical_sha256":"25fa3d1b52ef1ba64b573966ce83dd4363d5680f2eea2ed5f2763993e985b606","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"25fa3d1b52ef1ba64b573966ce83dd4363d5680f2eea2ed5f2763993e985b606","first_computed_at":"2026-05-18T00:35:55.394944Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:55.394944Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lU+IZSR0u1Ppw2Pc6FytmsoXP0ufqsxdeWRBw+My8CCzIGztIKgGB7cLTsDGOB0Cv5MrgT1BwV3I35MQVMqoBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:55.395290Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.00168","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c1a819d11f71e3c0ed245f0acb73b070437122ad59782ccc8fbf720da0efee80","sha256:0380dada5da60d4b89a9758609c9b32d98172258850dbd6c75d50f13939dba2d"],"state_sha256":"e644f060f56ac4a044d8373ea63a3526370fc5fcfd5c00e159338c84eaeea3bc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i+vvIu25BYDBrn8hR7noF/h1p3QoNv4BRzcVmdZ/VwY+++FkUirJkeaaR87D01Cz6qxjxV/XuGVTuUF7ie1CDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T22:09:53.736880Z","bundle_sha256":"ab72d10e039c00f49c176b81e8bf9151acb897d85a4a8c913298219516924504"}}