{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:BIO5JJGSEN44FBAPRRDMD5K3OM","short_pith_number":"pith:BIO5JJGS","canonical_record":{"source":{"id":"1411.7664","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-11-27T17:45:30Z","cross_cats_sorted":[],"title_canon_sha256":"4e063721ac03063b9e33fcbed052f94a24f3562f0657455d35daaee88e22d5a0","abstract_canon_sha256":"3b463ea209e074f8c7b93ded044dada629c4f3c332987a9cfe1c1ecc5d300d46"},"schema_version":"1.0"},"canonical_sha256":"0a1dd4a4d22379c2840f8c46c1f55b732fde801f1a4ad01d73e473c75076b244","source":{"kind":"arxiv","id":"1411.7664","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.7664","created_at":"2026-05-18T02:32:37Z"},{"alias_kind":"arxiv_version","alias_value":"1411.7664v1","created_at":"2026-05-18T02:32:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.7664","created_at":"2026-05-18T02:32:37Z"},{"alias_kind":"pith_short_12","alias_value":"BIO5JJGSEN44","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BIO5JJGSEN44FBAP","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BIO5JJGS","created_at":"2026-05-18T12:28:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:BIO5JJGSEN44FBAPRRDMD5K3OM","target":"record","payload":{"canonical_record":{"source":{"id":"1411.7664","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-11-27T17:45:30Z","cross_cats_sorted":[],"title_canon_sha256":"4e063721ac03063b9e33fcbed052f94a24f3562f0657455d35daaee88e22d5a0","abstract_canon_sha256":"3b463ea209e074f8c7b93ded044dada629c4f3c332987a9cfe1c1ecc5d300d46"},"schema_version":"1.0"},"canonical_sha256":"0a1dd4a4d22379c2840f8c46c1f55b732fde801f1a4ad01d73e473c75076b244","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:37.481026Z","signature_b64":"TnR0uoP/syUHzFLpB7WRhIHxBR4Mk1RQwUEYI+xsS9hMmIcK9ayqk4bw5oXULUPo4DEGla99/CaXai3yVQHCCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0a1dd4a4d22379c2840f8c46c1f55b732fde801f1a4ad01d73e473c75076b244","last_reissued_at":"2026-05-18T02:32:37.480579Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:37.480579Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.7664","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":"2026-05-18T02:32:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PFsTqM1SpEteaSRfrtI9wmGcU5iD6uQUvJ4kZ4YiE+BCdijpzPRrmu3OcsFR0k455VX1S9Usv7qtZIW8HQXODw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T06:17:14.842579Z"},"content_sha256":"3453bc9b4f17fe96d49986184f7bb845f73c5b127f56861195ac06b328b67df1","schema_version":"1.0","event_id":"sha256:3453bc9b4f17fe96d49986184f7bb845f73c5b127f56861195ac06b328b67df1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:BIO5JJGSEN44FBAPRRDMD5K3OM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Spherical Convex Floating Body","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Elisabeth Werner, Florian Besau","submitted_at":"2014-11-27T17:45:30Z","abstract_excerpt":"For a convex body on the Euclidean unit sphere the spherical convex floating body is introduced. The asymptotic behavior of the volume difference of a spherical convex body and its spherical floating body is investigated. This gives rise to a new spherical area measure, the floating area. Remarkably, this floating area turns out to be a spherical analogue to the classical affine surface area from affine differential geometry. Several properties of the floating area are established."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.7664","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":"2026-05-18T02:32:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3lnpJ/u52e4pSK/4BABwAKpija5MvqFx3ZGOONOC0dO4qjEXnWGBgUBACAZ3X6k35Xgg8BQMp8iDRZwsOT9fCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T06:17:14.843042Z"},"content_sha256":"bf362f2ff0c35fb64eec6cf42e67a7da5da73e4a21615773c4ac623b815bf448","schema_version":"1.0","event_id":"sha256:bf362f2ff0c35fb64eec6cf42e67a7da5da73e4a21615773c4ac623b815bf448"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BIO5JJGSEN44FBAPRRDMD5K3OM/bundle.json","state_url":"https://pith.science/pith/BIO5JJGSEN44FBAPRRDMD5K3OM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BIO5JJGSEN44FBAPRRDMD5K3OM/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":"2026-06-24T06:17:14Z","links":{"resolver":"https://pith.science/pith/BIO5JJGSEN44FBAPRRDMD5K3OM","bundle":"https://pith.science/pith/BIO5JJGSEN44FBAPRRDMD5K3OM/bundle.json","state":"https://pith.science/pith/BIO5JJGSEN44FBAPRRDMD5K3OM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BIO5JJGSEN44FBAPRRDMD5K3OM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:BIO5JJGSEN44FBAPRRDMD5K3OM","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":"3b463ea209e074f8c7b93ded044dada629c4f3c332987a9cfe1c1ecc5d300d46","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-11-27T17:45:30Z","title_canon_sha256":"4e063721ac03063b9e33fcbed052f94a24f3562f0657455d35daaee88e22d5a0"},"schema_version":"1.0","source":{"id":"1411.7664","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.7664","created_at":"2026-05-18T02:32:37Z"},{"alias_kind":"arxiv_version","alias_value":"1411.7664v1","created_at":"2026-05-18T02:32:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.7664","created_at":"2026-05-18T02:32:37Z"},{"alias_kind":"pith_short_12","alias_value":"BIO5JJGSEN44","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BIO5JJGSEN44FBAP","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BIO5JJGS","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:bf362f2ff0c35fb64eec6cf42e67a7da5da73e4a21615773c4ac623b815bf448","target":"graph","created_at":"2026-05-18T02:32:37Z","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":"For a convex body on the Euclidean unit sphere the spherical convex floating body is introduced. The asymptotic behavior of the volume difference of a spherical convex body and its spherical floating body is investigated. This gives rise to a new spherical area measure, the floating area. Remarkably, this floating area turns out to be a spherical analogue to the classical affine surface area from affine differential geometry. Several properties of the floating area are established.","authors_text":"Elisabeth Werner, Florian Besau","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-11-27T17:45:30Z","title":"The Spherical Convex Floating Body"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.7664","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":"sha256:3453bc9b4f17fe96d49986184f7bb845f73c5b127f56861195ac06b328b67df1","target":"record","created_at":"2026-05-18T02:32:37Z","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":"3b463ea209e074f8c7b93ded044dada629c4f3c332987a9cfe1c1ecc5d300d46","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-11-27T17:45:30Z","title_canon_sha256":"4e063721ac03063b9e33fcbed052f94a24f3562f0657455d35daaee88e22d5a0"},"schema_version":"1.0","source":{"id":"1411.7664","kind":"arxiv","version":1}},"canonical_sha256":"0a1dd4a4d22379c2840f8c46c1f55b732fde801f1a4ad01d73e473c75076b244","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0a1dd4a4d22379c2840f8c46c1f55b732fde801f1a4ad01d73e473c75076b244","first_computed_at":"2026-05-18T02:32:37.480579Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:37.480579Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TnR0uoP/syUHzFLpB7WRhIHxBR4Mk1RQwUEYI+xsS9hMmIcK9ayqk4bw5oXULUPo4DEGla99/CaXai3yVQHCCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:37.481026Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.7664","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3453bc9b4f17fe96d49986184f7bb845f73c5b127f56861195ac06b328b67df1","sha256:bf362f2ff0c35fb64eec6cf42e67a7da5da73e4a21615773c4ac623b815bf448"],"state_sha256":"5edfcd3fef05982af6efb61d37d6fc29a12a7edd27aebcff84e7379a2d882e35"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pUI4mHWx/8k7k59YK4hi68aekPj3uKLf4DnJ9OjeKWPd5l4/ADVlAMLW1fXdwHMVo6mMVvgjuWK9lBYh10I0Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T06:17:14.845565Z","bundle_sha256":"e06e76616d23331ae84451c2848656b3f82d8278f2a4f60cf02871d6f84c991a"}}