{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:WNNOIHW6STIFK4RVY7JWWDTQLM","short_pith_number":"pith:WNNOIHW6","canonical_record":{"source":{"id":"1009.3203","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2010-09-16T15:42:39Z","cross_cats_sorted":[],"title_canon_sha256":"febf971c3eb227e77ff918953962d4b4dcd7941cbb4f08e0da8d5bcb9283f3e9","abstract_canon_sha256":"07cb44dc5b66d7b57379bc38a9eee82243eb7a81efab7cb92866d1c204a5a796"},"schema_version":"1.0"},"canonical_sha256":"b35ae41ede94d0557235c7d36b0e705b32d7ec96be4627a97f9d8a7adf783f9b","source":{"kind":"arxiv","id":"1009.3203","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.3203","created_at":"2026-05-18T04:40:46Z"},{"alias_kind":"arxiv_version","alias_value":"1009.3203v1","created_at":"2026-05-18T04:40:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.3203","created_at":"2026-05-18T04:40:46Z"},{"alias_kind":"pith_short_12","alias_value":"WNNOIHW6STIF","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"WNNOIHW6STIFK4RV","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"WNNOIHW6","created_at":"2026-05-18T12:26:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:WNNOIHW6STIFK4RVY7JWWDTQLM","target":"record","payload":{"canonical_record":{"source":{"id":"1009.3203","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2010-09-16T15:42:39Z","cross_cats_sorted":[],"title_canon_sha256":"febf971c3eb227e77ff918953962d4b4dcd7941cbb4f08e0da8d5bcb9283f3e9","abstract_canon_sha256":"07cb44dc5b66d7b57379bc38a9eee82243eb7a81efab7cb92866d1c204a5a796"},"schema_version":"1.0"},"canonical_sha256":"b35ae41ede94d0557235c7d36b0e705b32d7ec96be4627a97f9d8a7adf783f9b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:40:46.754486Z","signature_b64":"sINul5LWiL8c21oTEi4wD2weMnh3OJhABCK01l3Qw1Xy1gUMVgPfCyw420xPQp0Nk+zcoC461bqySl/56Z89Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b35ae41ede94d0557235c7d36b0e705b32d7ec96be4627a97f9d8a7adf783f9b","last_reissued_at":"2026-05-18T04:40:46.753977Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:40:46.753977Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1009.3203","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":"2026-05-18T04:40:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yHT6H7Zq2jFHViiHcDXrc6BGeUVM9KbP3VZjYVIIPYj8cb0n/dUzEKstesiLgLu9xY0jDTDhznSR6tPASYaoBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T01:35:05.298436Z"},"content_sha256":"2fa3c917ec4722ef938c948dc64191dba04a50cf70a1dbb9f00e38cfb0844889","schema_version":"1.0","event_id":"sha256:2fa3c917ec4722ef938c948dc64191dba04a50cf70a1dbb9f00e38cfb0844889"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:WNNOIHW6STIFK4RVY7JWWDTQLM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Intrinsic Inference on the Mean Geodesic of Planar Shapes and Tree Discrimination by Leaf Growth","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Stephan Huckemann","submitted_at":"2010-09-16T15:42:39Z","abstract_excerpt":"For planar landmark based shapes, taking into account the non-Euclidean geometry of the shape space, a statistical test for a common mean first geodesic principal component (GPC) is devised. It rests on one of two asymptotic scenarios, both of which are identical in a Euclidean geometry. For both scenarios, strong consistency and central limit theorems are established, along with an algorithm for the computation of a Ziezold mean geodesic. In application, this allows to verify the geodesic hypothesis for leaf growth of Canadian black poplars and to discriminate genetically different trees by o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.3203","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":"2026-05-18T04:40:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BUnSV15HM1FtendxdxDRFQzNjGbxXZwqH7KTJTsBQeTMdUbil1OexGgRwjsnhC8D5mxAW6CnPjuOwlQiKjVtAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T01:35:05.299230Z"},"content_sha256":"4dba376cc50da2cd4fcb3a9c64018f7433fc471c7936655ddd9d1fbd60efe486","schema_version":"1.0","event_id":"sha256:4dba376cc50da2cd4fcb3a9c64018f7433fc471c7936655ddd9d1fbd60efe486"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WNNOIHW6STIFK4RVY7JWWDTQLM/bundle.json","state_url":"https://pith.science/pith/WNNOIHW6STIFK4RVY7JWWDTQLM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WNNOIHW6STIFK4RVY7JWWDTQLM/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":"2026-06-10T01:35:05Z","links":{"resolver":"https://pith.science/pith/WNNOIHW6STIFK4RVY7JWWDTQLM","bundle":"https://pith.science/pith/WNNOIHW6STIFK4RVY7JWWDTQLM/bundle.json","state":"https://pith.science/pith/WNNOIHW6STIFK4RVY7JWWDTQLM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WNNOIHW6STIFK4RVY7JWWDTQLM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:WNNOIHW6STIFK4RVY7JWWDTQLM","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":"07cb44dc5b66d7b57379bc38a9eee82243eb7a81efab7cb92866d1c204a5a796","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2010-09-16T15:42:39Z","title_canon_sha256":"febf971c3eb227e77ff918953962d4b4dcd7941cbb4f08e0da8d5bcb9283f3e9"},"schema_version":"1.0","source":{"id":"1009.3203","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.3203","created_at":"2026-05-18T04:40:46Z"},{"alias_kind":"arxiv_version","alias_value":"1009.3203v1","created_at":"2026-05-18T04:40:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.3203","created_at":"2026-05-18T04:40:46Z"},{"alias_kind":"pith_short_12","alias_value":"WNNOIHW6STIF","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"WNNOIHW6STIFK4RV","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"WNNOIHW6","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:4dba376cc50da2cd4fcb3a9c64018f7433fc471c7936655ddd9d1fbd60efe486","target":"graph","created_at":"2026-05-18T04:40:46Z","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 planar landmark based shapes, taking into account the non-Euclidean geometry of the shape space, a statistical test for a common mean first geodesic principal component (GPC) is devised. It rests on one of two asymptotic scenarios, both of which are identical in a Euclidean geometry. For both scenarios, strong consistency and central limit theorems are established, along with an algorithm for the computation of a Ziezold mean geodesic. In application, this allows to verify the geodesic hypothesis for leaf growth of Canadian black poplars and to discriminate genetically different trees by o","authors_text":"Stephan Huckemann","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2010-09-16T15:42:39Z","title":"Intrinsic Inference on the Mean Geodesic of Planar Shapes and Tree Discrimination by Leaf Growth"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.3203","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":"sha256:2fa3c917ec4722ef938c948dc64191dba04a50cf70a1dbb9f00e38cfb0844889","target":"record","created_at":"2026-05-18T04:40:46Z","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":"07cb44dc5b66d7b57379bc38a9eee82243eb7a81efab7cb92866d1c204a5a796","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2010-09-16T15:42:39Z","title_canon_sha256":"febf971c3eb227e77ff918953962d4b4dcd7941cbb4f08e0da8d5bcb9283f3e9"},"schema_version":"1.0","source":{"id":"1009.3203","kind":"arxiv","version":1}},"canonical_sha256":"b35ae41ede94d0557235c7d36b0e705b32d7ec96be4627a97f9d8a7adf783f9b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b35ae41ede94d0557235c7d36b0e705b32d7ec96be4627a97f9d8a7adf783f9b","first_computed_at":"2026-05-18T04:40:46.753977Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:40:46.753977Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sINul5LWiL8c21oTEi4wD2weMnh3OJhABCK01l3Qw1Xy1gUMVgPfCyw420xPQp0Nk+zcoC461bqySl/56Z89Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:40:46.754486Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.3203","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2fa3c917ec4722ef938c948dc64191dba04a50cf70a1dbb9f00e38cfb0844889","sha256:4dba376cc50da2cd4fcb3a9c64018f7433fc471c7936655ddd9d1fbd60efe486"],"state_sha256":"2f235c77a141b1e3cf9c49c00368816d0b227e573428e651cd00e6b9277b1635"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B5Rq55FV7vxVSC0XB0dH86xRLLi4+j/pN5jdhKLOPTwi/FG18aeEU8lXveAiD4VTtDn+dGgFJNVBPClxIwqkAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T01:35:05.303755Z","bundle_sha256":"5d8990fb761d5d27758cb6ad5e4bb4d49bbe096bc9381a4ceba4cc906826803a"}}