{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:VWNA22E2RDWMG4XBBUXIIA366A","short_pith_number":"pith:VWNA22E2","canonical_record":{"source":{"id":"1609.06697","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-09-21T19:40:22Z","cross_cats_sorted":[],"title_canon_sha256":"80f1956d782adc93dcb6ad0e0afec471c4d1907716d0c6c94a5e069de45a99db","abstract_canon_sha256":"bd4fead9ceec73e414e54e76ae3a39614017667e49a61e2915b5a7e45a4d09b5"},"schema_version":"1.0"},"canonical_sha256":"ad9a0d689a88ecc372e10d2e84037ef00a3aeb836330cb31f5b4aff8e52a473f","source":{"kind":"arxiv","id":"1609.06697","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.06697","created_at":"2026-05-18T00:21:46Z"},{"alias_kind":"arxiv_version","alias_value":"1609.06697v2","created_at":"2026-05-18T00:21:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.06697","created_at":"2026-05-18T00:21:46Z"},{"alias_kind":"pith_short_12","alias_value":"VWNA22E2RDWM","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"VWNA22E2RDWMG4XB","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"VWNA22E2","created_at":"2026-05-18T12:30:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:VWNA22E2RDWMG4XBBUXIIA366A","target":"record","payload":{"canonical_record":{"source":{"id":"1609.06697","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-09-21T19:40:22Z","cross_cats_sorted":[],"title_canon_sha256":"80f1956d782adc93dcb6ad0e0afec471c4d1907716d0c6c94a5e069de45a99db","abstract_canon_sha256":"bd4fead9ceec73e414e54e76ae3a39614017667e49a61e2915b5a7e45a4d09b5"},"schema_version":"1.0"},"canonical_sha256":"ad9a0d689a88ecc372e10d2e84037ef00a3aeb836330cb31f5b4aff8e52a473f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:21:46.729091Z","signature_b64":"kCkUEpdGC/66cGtWmX73kKNNexaSUB2wqFiHVL3LfexF8G3bIKTQvy2uLZjFf1AcUD/+wrxg50yRJ0zp/XCjAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ad9a0d689a88ecc372e10d2e84037ef00a3aeb836330cb31f5b4aff8e52a473f","last_reissued_at":"2026-05-18T00:21:46.728571Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:21:46.728571Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.06697","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":"2026-05-18T00:21:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"elRIGt8tuJzk20j4z91St1J0WFG+JzlXN41cs5NFAiC7Fa9sD0wMTMHJh5a//f8PEbXKCHXHT+YpWmb9QCwqBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T00:13:01.969165Z"},"content_sha256":"1ee5a58b994c35db9df7c753f76e5a49da976cd083f4478e56ccc5d836d8836e","schema_version":"1.0","event_id":"sha256:1ee5a58b994c35db9df7c753f76e5a49da976cd083f4478e56ccc5d836d8836e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:VWNA22E2RDWMG4XBBUXIIA366A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the estimation of parameters of a spheroid distribution from planar sections","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Alexandra Illgen, Felix Ballani, Markus Baaske","submitted_at":"2016-09-21T19:40:22Z","abstract_excerpt":"We study two different methods for inferring the parameters of a spheroid distribution from planar sections of a stationary spatial system of spheroids: one method first unfolds non-parametrically the joint size-shape-orientation distribution of the observable ellipses in the plane into the joint size-shape-orientation distribution of the spheroids followed by a maximum likelihood estimation of the parameters; the second method directly estimates these parameters based on statistics of the observable ellipses using a quasi-likelihood approach. As an application we consider a metal-matrix compo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.06697","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":"2026-05-18T00:21:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EU9rfrHq/ebR+2BdgugaXWkuns5KY5DycArBDZ1L7M8s9yh+fF5FH+NlelEJns7zNjRB8adMWnla4tE0uGctCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T00:13:01.969946Z"},"content_sha256":"e57e8b06255869fe4709204b2fd0ae52ec44939dddb7e0e43dc00d8a97a65120","schema_version":"1.0","event_id":"sha256:e57e8b06255869fe4709204b2fd0ae52ec44939dddb7e0e43dc00d8a97a65120"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VWNA22E2RDWMG4XBBUXIIA366A/bundle.json","state_url":"https://pith.science/pith/VWNA22E2RDWMG4XBBUXIIA366A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VWNA22E2RDWMG4XBBUXIIA366A/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":"2026-05-31T00:13:01Z","links":{"resolver":"https://pith.science/pith/VWNA22E2RDWMG4XBBUXIIA366A","bundle":"https://pith.science/pith/VWNA22E2RDWMG4XBBUXIIA366A/bundle.json","state":"https://pith.science/pith/VWNA22E2RDWMG4XBBUXIIA366A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VWNA22E2RDWMG4XBBUXIIA366A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:VWNA22E2RDWMG4XBBUXIIA366A","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":"bd4fead9ceec73e414e54e76ae3a39614017667e49a61e2915b5a7e45a4d09b5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-09-21T19:40:22Z","title_canon_sha256":"80f1956d782adc93dcb6ad0e0afec471c4d1907716d0c6c94a5e069de45a99db"},"schema_version":"1.0","source":{"id":"1609.06697","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.06697","created_at":"2026-05-18T00:21:46Z"},{"alias_kind":"arxiv_version","alias_value":"1609.06697v2","created_at":"2026-05-18T00:21:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.06697","created_at":"2026-05-18T00:21:46Z"},{"alias_kind":"pith_short_12","alias_value":"VWNA22E2RDWM","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"VWNA22E2RDWMG4XB","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"VWNA22E2","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:e57e8b06255869fe4709204b2fd0ae52ec44939dddb7e0e43dc00d8a97a65120","target":"graph","created_at":"2026-05-18T00:21:46Z","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":"We study two different methods for inferring the parameters of a spheroid distribution from planar sections of a stationary spatial system of spheroids: one method first unfolds non-parametrically the joint size-shape-orientation distribution of the observable ellipses in the plane into the joint size-shape-orientation distribution of the spheroids followed by a maximum likelihood estimation of the parameters; the second method directly estimates these parameters based on statistics of the observable ellipses using a quasi-likelihood approach. As an application we consider a metal-matrix compo","authors_text":"Alexandra Illgen, Felix Ballani, Markus Baaske","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-09-21T19:40:22Z","title":"On the estimation of parameters of a spheroid distribution from planar sections"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.06697","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":"sha256:1ee5a58b994c35db9df7c753f76e5a49da976cd083f4478e56ccc5d836d8836e","target":"record","created_at":"2026-05-18T00:21:46Z","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":"bd4fead9ceec73e414e54e76ae3a39614017667e49a61e2915b5a7e45a4d09b5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-09-21T19:40:22Z","title_canon_sha256":"80f1956d782adc93dcb6ad0e0afec471c4d1907716d0c6c94a5e069de45a99db"},"schema_version":"1.0","source":{"id":"1609.06697","kind":"arxiv","version":2}},"canonical_sha256":"ad9a0d689a88ecc372e10d2e84037ef00a3aeb836330cb31f5b4aff8e52a473f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ad9a0d689a88ecc372e10d2e84037ef00a3aeb836330cb31f5b4aff8e52a473f","first_computed_at":"2026-05-18T00:21:46.728571Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:21:46.728571Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kCkUEpdGC/66cGtWmX73kKNNexaSUB2wqFiHVL3LfexF8G3bIKTQvy2uLZjFf1AcUD/+wrxg50yRJ0zp/XCjAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:21:46.729091Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.06697","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ee5a58b994c35db9df7c753f76e5a49da976cd083f4478e56ccc5d836d8836e","sha256:e57e8b06255869fe4709204b2fd0ae52ec44939dddb7e0e43dc00d8a97a65120"],"state_sha256":"c76240d3896ddd702b09c33d87db24f8dad601ef08c5dbe060757e2168142b9b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dUXLUpnUtDp4jsE8cB4bYcJ3DUwoHgCwihqzu8CTS7LHithF9qOBGRjstI6klwfPiqFK9ZJZhRUISugeVDtyBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T00:13:01.974990Z","bundle_sha256":"86e01adfca6b7bf13d651a8813530f4216cb85d3598bb8cc3df8717e2de3377c"}}