{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:MOH6FSXWDIX4R4XLPMOGCNVQVO","short_pith_number":"pith:MOH6FSXW","canonical_record":{"source":{"id":"1301.7273","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-01-30T16:21:48Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"7baad43a7fb4dfa46e2babbe8e352bff6110b978180864e3a0cda7266a67cf4c","abstract_canon_sha256":"142cdb6653d5014b91ef7709a71a2376bec2a2e151a8d3f5e7549ad0f1a6c10c"},"schema_version":"1.0"},"canonical_sha256":"638fe2caf61a2fc8f2eb7b1c6136b0ab852c3eb2d6ab09843036dcddb8605cea","source":{"kind":"arxiv","id":"1301.7273","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.7273","created_at":"2026-05-18T02:26:18Z"},{"alias_kind":"arxiv_version","alias_value":"1301.7273v3","created_at":"2026-05-18T02:26:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.7273","created_at":"2026-05-18T02:26:18Z"},{"alias_kind":"pith_short_12","alias_value":"MOH6FSXWDIX4","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"MOH6FSXWDIX4R4XL","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"MOH6FSXW","created_at":"2026-05-18T12:27:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:MOH6FSXWDIX4R4XLPMOGCNVQVO","target":"record","payload":{"canonical_record":{"source":{"id":"1301.7273","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-01-30T16:21:48Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"7baad43a7fb4dfa46e2babbe8e352bff6110b978180864e3a0cda7266a67cf4c","abstract_canon_sha256":"142cdb6653d5014b91ef7709a71a2376bec2a2e151a8d3f5e7549ad0f1a6c10c"},"schema_version":"1.0"},"canonical_sha256":"638fe2caf61a2fc8f2eb7b1c6136b0ab852c3eb2d6ab09843036dcddb8605cea","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:26:18.938585Z","signature_b64":"5trKokJz+eGzMSCgOD/NZNYBm9bn/LNiI+np2X5JhbeLry98i6cWXyxJiEJYI9+vuLLCTGkB9789HxQNEMOkAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"638fe2caf61a2fc8f2eb7b1c6136b0ab852c3eb2d6ab09843036dcddb8605cea","last_reissued_at":"2026-05-18T02:26:18.937933Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:26:18.937933Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.7273","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:26:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ra/kkWFqnKTK06hLXPhXuazdIsPlhZXkdmfPHtFHFOr/or2Ixji5wF1XpNQCBogijdQi+eV5R4RIZLy4GhOUDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T09:06:20.094827Z"},"content_sha256":"d2d14caac955b21aacf75cce46a383ac1e91fbfd65d6d84b3564786634914283","schema_version":"1.0","event_id":"sha256:d2d14caac955b21aacf75cce46a383ac1e91fbfd65d6d84b3564786634914283"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:MOH6FSXWDIX4R4XLPMOGCNVQVO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Aspects of local to global results","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.CA","authors_text":"Antti V. V\\\"ah\\\"akangas, Niko Marola, Ritva Hurri-Syrj\\\"anen","submitted_at":"2013-01-30T16:21:48Z","abstract_excerpt":"We establish local to global results for a function space which is larger than the well known BMO space, and was also introduced by John and Nirenberg."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.7273","kind":"arxiv","version":3},"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":"2026-05-18T02:26:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fivn2Dk5vMW5yCiQLUyow/mqky1uRE/a9w2sD/DyN44bdIjgQYvQOMpf9OhGYZGQ7jr66eZekXQhv/W5NUvOBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T09:06:20.095442Z"},"content_sha256":"f60b0b5345b61d2b16e9dc4964eca48660a6800e48fd02418b426440778b175d","schema_version":"1.0","event_id":"sha256:f60b0b5345b61d2b16e9dc4964eca48660a6800e48fd02418b426440778b175d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MOH6FSXWDIX4R4XLPMOGCNVQVO/bundle.json","state_url":"https://pith.science/pith/MOH6FSXWDIX4R4XLPMOGCNVQVO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MOH6FSXWDIX4R4XLPMOGCNVQVO/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":"2026-05-27T09:06:20Z","links":{"resolver":"https://pith.science/pith/MOH6FSXWDIX4R4XLPMOGCNVQVO","bundle":"https://pith.science/pith/MOH6FSXWDIX4R4XLPMOGCNVQVO/bundle.json","state":"https://pith.science/pith/MOH6FSXWDIX4R4XLPMOGCNVQVO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MOH6FSXWDIX4R4XLPMOGCNVQVO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:MOH6FSXWDIX4R4XLPMOGCNVQVO","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":"142cdb6653d5014b91ef7709a71a2376bec2a2e151a8d3f5e7549ad0f1a6c10c","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-01-30T16:21:48Z","title_canon_sha256":"7baad43a7fb4dfa46e2babbe8e352bff6110b978180864e3a0cda7266a67cf4c"},"schema_version":"1.0","source":{"id":"1301.7273","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.7273","created_at":"2026-05-18T02:26:18Z"},{"alias_kind":"arxiv_version","alias_value":"1301.7273v3","created_at":"2026-05-18T02:26:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.7273","created_at":"2026-05-18T02:26:18Z"},{"alias_kind":"pith_short_12","alias_value":"MOH6FSXWDIX4","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"MOH6FSXWDIX4R4XL","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"MOH6FSXW","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:f60b0b5345b61d2b16e9dc4964eca48660a6800e48fd02418b426440778b175d","target":"graph","created_at":"2026-05-18T02:26:18Z","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 establish local to global results for a function space which is larger than the well known BMO space, and was also introduced by John and Nirenberg.","authors_text":"Antti V. V\\\"ah\\\"akangas, Niko Marola, Ritva Hurri-Syrj\\\"anen","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-01-30T16:21:48Z","title":"Aspects of local to global results"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.7273","kind":"arxiv","version":3},"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:d2d14caac955b21aacf75cce46a383ac1e91fbfd65d6d84b3564786634914283","target":"record","created_at":"2026-05-18T02:26:18Z","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":"142cdb6653d5014b91ef7709a71a2376bec2a2e151a8d3f5e7549ad0f1a6c10c","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-01-30T16:21:48Z","title_canon_sha256":"7baad43a7fb4dfa46e2babbe8e352bff6110b978180864e3a0cda7266a67cf4c"},"schema_version":"1.0","source":{"id":"1301.7273","kind":"arxiv","version":3}},"canonical_sha256":"638fe2caf61a2fc8f2eb7b1c6136b0ab852c3eb2d6ab09843036dcddb8605cea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"638fe2caf61a2fc8f2eb7b1c6136b0ab852c3eb2d6ab09843036dcddb8605cea","first_computed_at":"2026-05-18T02:26:18.937933Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:18.937933Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5trKokJz+eGzMSCgOD/NZNYBm9bn/LNiI+np2X5JhbeLry98i6cWXyxJiEJYI9+vuLLCTGkB9789HxQNEMOkAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:18.938585Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.7273","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d2d14caac955b21aacf75cce46a383ac1e91fbfd65d6d84b3564786634914283","sha256:f60b0b5345b61d2b16e9dc4964eca48660a6800e48fd02418b426440778b175d"],"state_sha256":"32a3a9f15a48c291fc486be6fad3bed148192197cb275e82c8844d5694877ca2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lRzMFzRU1YBsAPCumiqN3GaSnCNrL3tpdbZ4DH9sIMyvztta4F4qgF2fVKio0Fniv8K+zXMIlJWFwFlbfWAHCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T09:06:20.098886Z","bundle_sha256":"a96b9fe44d6af5e7f8e71917f8a71fdc03ef1cb9901e8f2d40c003c207fa597b"}}