{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:XBNV5YMIOK73GPTCGFR5TXJWGH","short_pith_number":"pith:XBNV5YMI","canonical_record":{"source":{"id":"1612.08372","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-12-26T12:57:19Z","cross_cats_sorted":[],"title_canon_sha256":"3980bf8b1728202fe89a86e78c2cc36517abbee374d91f9319b22978542777c7","abstract_canon_sha256":"27a12542de24fbdc2a2d525b45d4748675f985e17dace643dbc5b1f71e6156e3"},"schema_version":"1.0"},"canonical_sha256":"b85b5ee18872bfb33e623163d9dd3631d1fb296e6d474ce4c9ae9b1022214a2a","source":{"kind":"arxiv","id":"1612.08372","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.08372","created_at":"2026-05-18T00:53:56Z"},{"alias_kind":"arxiv_version","alias_value":"1612.08372v1","created_at":"2026-05-18T00:53:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.08372","created_at":"2026-05-18T00:53:56Z"},{"alias_kind":"pith_short_12","alias_value":"XBNV5YMIOK73","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XBNV5YMIOK73GPTC","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XBNV5YMI","created_at":"2026-05-18T12:30:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:XBNV5YMIOK73GPTCGFR5TXJWGH","target":"record","payload":{"canonical_record":{"source":{"id":"1612.08372","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-12-26T12:57:19Z","cross_cats_sorted":[],"title_canon_sha256":"3980bf8b1728202fe89a86e78c2cc36517abbee374d91f9319b22978542777c7","abstract_canon_sha256":"27a12542de24fbdc2a2d525b45d4748675f985e17dace643dbc5b1f71e6156e3"},"schema_version":"1.0"},"canonical_sha256":"b85b5ee18872bfb33e623163d9dd3631d1fb296e6d474ce4c9ae9b1022214a2a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:53:56.800878Z","signature_b64":"NMiJMsHs6SuJL8ctKmaLnmYIjNvoM+QP2KtT9QAe3bcLQFIvvzWmIy3TqlMfrK2xkF+Qd1TjCg1BkL7dDDrhDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b85b5ee18872bfb33e623163d9dd3631d1fb296e6d474ce4c9ae9b1022214a2a","last_reissued_at":"2026-05-18T00:53:56.800243Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:53:56.800243Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.08372","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":"2026-05-18T00:53:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QytPO9Qj0xjxt260OjQZbWsYdwKtTeS2wYxN4FOmIWb4N1dvnT1U6GLNhDTmL3Y66VXhGv/xbnJz3WXZBO5gDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T06:10:27.478283Z"},"content_sha256":"9dba8d353fa916947be96a1d8cce3e1de66f571dc8240e381cab4d90571d5735","schema_version":"1.0","event_id":"sha256:9dba8d353fa916947be96a1d8cce3e1de66f571dc8240e381cab4d90571d5735"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:XBNV5YMIOK73GPTCGFR5TXJWGH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Recent progress on homogeneous Finsler spaces with positive curvature","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Ming Xu, ShaoQiang Deng","submitted_at":"2016-12-26T12:57:19Z","abstract_excerpt":"This is a survey paper on our recent works concerning the classification of positively curved homogeneous Finsler spaces, and some related topics. At the final part, we present some open problems in this field."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.08372","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":"2026-05-18T00:53:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pXVweHOPuYVb0s9yYXJSp3vXlUmCNktwOFaCBm4/yKBV9E2TPTV6uF/4rNiiXnHQ7PsQqR2+5YnNQYUAb/yEAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T06:10:27.478648Z"},"content_sha256":"09f730931aa8c7a41a47b93e87671dc740cb259d4142c1dcef4bd36fd92d2158","schema_version":"1.0","event_id":"sha256:09f730931aa8c7a41a47b93e87671dc740cb259d4142c1dcef4bd36fd92d2158"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XBNV5YMIOK73GPTCGFR5TXJWGH/bundle.json","state_url":"https://pith.science/pith/XBNV5YMIOK73GPTCGFR5TXJWGH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XBNV5YMIOK73GPTCGFR5TXJWGH/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":"2026-06-24T06:10:27Z","links":{"resolver":"https://pith.science/pith/XBNV5YMIOK73GPTCGFR5TXJWGH","bundle":"https://pith.science/pith/XBNV5YMIOK73GPTCGFR5TXJWGH/bundle.json","state":"https://pith.science/pith/XBNV5YMIOK73GPTCGFR5TXJWGH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XBNV5YMIOK73GPTCGFR5TXJWGH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:XBNV5YMIOK73GPTCGFR5TXJWGH","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":"27a12542de24fbdc2a2d525b45d4748675f985e17dace643dbc5b1f71e6156e3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-12-26T12:57:19Z","title_canon_sha256":"3980bf8b1728202fe89a86e78c2cc36517abbee374d91f9319b22978542777c7"},"schema_version":"1.0","source":{"id":"1612.08372","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.08372","created_at":"2026-05-18T00:53:56Z"},{"alias_kind":"arxiv_version","alias_value":"1612.08372v1","created_at":"2026-05-18T00:53:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.08372","created_at":"2026-05-18T00:53:56Z"},{"alias_kind":"pith_short_12","alias_value":"XBNV5YMIOK73","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XBNV5YMIOK73GPTC","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XBNV5YMI","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:09f730931aa8c7a41a47b93e87671dc740cb259d4142c1dcef4bd36fd92d2158","target":"graph","created_at":"2026-05-18T00:53:56Z","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 is a survey paper on our recent works concerning the classification of positively curved homogeneous Finsler spaces, and some related topics. At the final part, we present some open problems in this field.","authors_text":"Ming Xu, ShaoQiang Deng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-12-26T12:57:19Z","title":"Recent progress on homogeneous Finsler spaces with positive curvature"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.08372","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":"sha256:9dba8d353fa916947be96a1d8cce3e1de66f571dc8240e381cab4d90571d5735","target":"record","created_at":"2026-05-18T00:53:56Z","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":"27a12542de24fbdc2a2d525b45d4748675f985e17dace643dbc5b1f71e6156e3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-12-26T12:57:19Z","title_canon_sha256":"3980bf8b1728202fe89a86e78c2cc36517abbee374d91f9319b22978542777c7"},"schema_version":"1.0","source":{"id":"1612.08372","kind":"arxiv","version":1}},"canonical_sha256":"b85b5ee18872bfb33e623163d9dd3631d1fb296e6d474ce4c9ae9b1022214a2a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b85b5ee18872bfb33e623163d9dd3631d1fb296e6d474ce4c9ae9b1022214a2a","first_computed_at":"2026-05-18T00:53:56.800243Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:56.800243Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NMiJMsHs6SuJL8ctKmaLnmYIjNvoM+QP2KtT9QAe3bcLQFIvvzWmIy3TqlMfrK2xkF+Qd1TjCg1BkL7dDDrhDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:56.800878Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.08372","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9dba8d353fa916947be96a1d8cce3e1de66f571dc8240e381cab4d90571d5735","sha256:09f730931aa8c7a41a47b93e87671dc740cb259d4142c1dcef4bd36fd92d2158"],"state_sha256":"d82f7121acc8b61ab13147412292af777238e0c53a8c81c2c80c43c266d9ffaa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ChsRk2G0XaWaC5IIb21urSLoS/prUqS0ZpyWPhdm/TH1icYsXpZUSUIbUqg1OPH9FfyhRtRIIFWrKGr46NqsAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T06:10:27.480545Z","bundle_sha256":"3d32f2ad8f6adaa1f4d951a674efed3884b3e487e18a89b0c6fc78621d80495b"}}