{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:2YU5KOW7DQW7TVCQDSY4DDAMQX","short_pith_number":"pith:2YU5KOW7","canonical_record":{"source":{"id":"2403.07683","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.ins-det","submitted_at":"2024-03-12T14:20:11Z","cross_cats_sorted":["physics.data-an"],"title_canon_sha256":"070f3f8b5c9f6e77ed160d76bcdfe8ffff8ed71c4b54fa2d3a0154edd88b1bb0","abstract_canon_sha256":"347276ef85d37d2356ef15f7a5a71fb8e0b228b897831a9e34c46117d7d0cf48"},"schema_version":"1.0"},"canonical_sha256":"d629d53adf1c2df9d4501cb1c18c0c85fbf2bc5e118216b49e6d2a3169dda03d","source":{"kind":"arxiv","id":"2403.07683","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.07683","created_at":"2026-07-05T07:55:06Z"},{"alias_kind":"arxiv_version","alias_value":"2403.07683v1","created_at":"2026-07-05T07:55:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.07683","created_at":"2026-07-05T07:55:06Z"},{"alias_kind":"pith_short_12","alias_value":"2YU5KOW7DQW7","created_at":"2026-07-05T07:55:06Z"},{"alias_kind":"pith_short_16","alias_value":"2YU5KOW7DQW7TVCQ","created_at":"2026-07-05T07:55:06Z"},{"alias_kind":"pith_short_8","alias_value":"2YU5KOW7","created_at":"2026-07-05T07:55:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:2YU5KOW7DQW7TVCQDSY4DDAMQX","target":"record","payload":{"canonical_record":{"source":{"id":"2403.07683","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.ins-det","submitted_at":"2024-03-12T14:20:11Z","cross_cats_sorted":["physics.data-an"],"title_canon_sha256":"070f3f8b5c9f6e77ed160d76bcdfe8ffff8ed71c4b54fa2d3a0154edd88b1bb0","abstract_canon_sha256":"347276ef85d37d2356ef15f7a5a71fb8e0b228b897831a9e34c46117d7d0cf48"},"schema_version":"1.0"},"canonical_sha256":"d629d53adf1c2df9d4501cb1c18c0c85fbf2bc5e118216b49e6d2a3169dda03d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:55:06.692083Z","signature_b64":"T7CDQXtEixZoITOh/xlR19NgPHSnAcJuahP8YU7KpfdVpPLq+93O+wj/Z69+PAezomrFI4gXz1TQ0tf1UuGeCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d629d53adf1c2df9d4501cb1c18c0c85fbf2bc5e118216b49e6d2a3169dda03d","last_reissued_at":"2026-07-05T07:55:06.691738Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:55:06.691738Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2403.07683","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":"2026-07-05T07:55:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pEJG6SE6LAmR7pW2H1tl9g1FmkaAhTs9ApBjm1SVLix/DamFwlqzQ3Jm/I/QjG6J3ktz/vPSPBAW84vqmg2hAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T21:47:10.348993Z"},"content_sha256":"798f6d37f45eee83865ef11c481bd47174f042a80ed9805290bc6580fdd8404d","schema_version":"1.0","event_id":"sha256:798f6d37f45eee83865ef11c481bd47174f042a80ed9805290bc6580fdd8404d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:2YU5KOW7DQW7TVCQDSY4DDAMQX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Towards a Unified Formalism of Multivariate Coefficients of Variation -- Application to the Analysis of Polarimetric Speckle Time Series","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.data-an"],"primary_cat":"physics.ins-det","authors_text":"Elise Colin, Razvigor Ossikovski","submitted_at":"2024-03-12T14:20:11Z","abstract_excerpt":"This article primarily aims to unify the various formalisms of multivariate coefficients of variation, leveraging advanced concepts of generalized means, whether weighted or not, applied to the eigenvalues of covariance matrices. We highlight the existence of an infinite number of these coefficients and demonstrate that they are bounded. Moreover, we link the various coefficients of variation identified in the literature to specific instances within our unified formalism. We illustrate the utility of our method by applying it to a time series of polarimetric radar imagery. In this context, the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.07683","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2403.07683/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T07:55:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IaObm+DUoYhnvew9Z2A25L/Eqcwyaa1aeYjYBMEPPw3tW+fJnNLiqT6Y48ljpGUDcDLhMUMlfADfNzidTr3UDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T21:47:10.349691Z"},"content_sha256":"25e825d2870b89e577785207f63ace606a2282de12410ef12cf049a7f68d7e01","schema_version":"1.0","event_id":"sha256:25e825d2870b89e577785207f63ace606a2282de12410ef12cf049a7f68d7e01"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2YU5KOW7DQW7TVCQDSY4DDAMQX/bundle.json","state_url":"https://pith.science/pith/2YU5KOW7DQW7TVCQDSY4DDAMQX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2YU5KOW7DQW7TVCQDSY4DDAMQX/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":"2026-08-03T21:47:10Z","links":{"resolver":"https://pith.science/pith/2YU5KOW7DQW7TVCQDSY4DDAMQX","bundle":"https://pith.science/pith/2YU5KOW7DQW7TVCQDSY4DDAMQX/bundle.json","state":"https://pith.science/pith/2YU5KOW7DQW7TVCQDSY4DDAMQX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2YU5KOW7DQW7TVCQDSY4DDAMQX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:2YU5KOW7DQW7TVCQDSY4DDAMQX","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":"347276ef85d37d2356ef15f7a5a71fb8e0b228b897831a9e34c46117d7d0cf48","cross_cats_sorted":["physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.ins-det","submitted_at":"2024-03-12T14:20:11Z","title_canon_sha256":"070f3f8b5c9f6e77ed160d76bcdfe8ffff8ed71c4b54fa2d3a0154edd88b1bb0"},"schema_version":"1.0","source":{"id":"2403.07683","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.07683","created_at":"2026-07-05T07:55:06Z"},{"alias_kind":"arxiv_version","alias_value":"2403.07683v1","created_at":"2026-07-05T07:55:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.07683","created_at":"2026-07-05T07:55:06Z"},{"alias_kind":"pith_short_12","alias_value":"2YU5KOW7DQW7","created_at":"2026-07-05T07:55:06Z"},{"alias_kind":"pith_short_16","alias_value":"2YU5KOW7DQW7TVCQ","created_at":"2026-07-05T07:55:06Z"},{"alias_kind":"pith_short_8","alias_value":"2YU5KOW7","created_at":"2026-07-05T07:55:06Z"}],"graph_snapshots":[{"event_id":"sha256:25e825d2870b89e577785207f63ace606a2282de12410ef12cf049a7f68d7e01","target":"graph","created_at":"2026-07-05T07:55:06Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2403.07683/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This article primarily aims to unify the various formalisms of multivariate coefficients of variation, leveraging advanced concepts of generalized means, whether weighted or not, applied to the eigenvalues of covariance matrices. We highlight the existence of an infinite number of these coefficients and demonstrate that they are bounded. Moreover, we link the various coefficients of variation identified in the literature to specific instances within our unified formalism. We illustrate the utility of our method by applying it to a time series of polarimetric radar imagery. In this context, the","authors_text":"Elise Colin, Razvigor Ossikovski","cross_cats":["physics.data-an"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.ins-det","submitted_at":"2024-03-12T14:20:11Z","title":"Towards a Unified Formalism of Multivariate Coefficients of Variation -- Application to the Analysis of Polarimetric Speckle Time Series"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.07683","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":"sha256:798f6d37f45eee83865ef11c481bd47174f042a80ed9805290bc6580fdd8404d","target":"record","created_at":"2026-07-05T07:55:06Z","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":"347276ef85d37d2356ef15f7a5a71fb8e0b228b897831a9e34c46117d7d0cf48","cross_cats_sorted":["physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.ins-det","submitted_at":"2024-03-12T14:20:11Z","title_canon_sha256":"070f3f8b5c9f6e77ed160d76bcdfe8ffff8ed71c4b54fa2d3a0154edd88b1bb0"},"schema_version":"1.0","source":{"id":"2403.07683","kind":"arxiv","version":1}},"canonical_sha256":"d629d53adf1c2df9d4501cb1c18c0c85fbf2bc5e118216b49e6d2a3169dda03d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d629d53adf1c2df9d4501cb1c18c0c85fbf2bc5e118216b49e6d2a3169dda03d","first_computed_at":"2026-07-05T07:55:06.691738Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:55:06.691738Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T7CDQXtEixZoITOh/xlR19NgPHSnAcJuahP8YU7KpfdVpPLq+93O+wj/Z69+PAezomrFI4gXz1TQ0tf1UuGeCA==","signature_status":"signed_v1","signed_at":"2026-07-05T07:55:06.692083Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.07683","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:798f6d37f45eee83865ef11c481bd47174f042a80ed9805290bc6580fdd8404d","sha256:25e825d2870b89e577785207f63ace606a2282de12410ef12cf049a7f68d7e01"],"state_sha256":"0595248c0a2c1b998985cbe3a62bf752e83f5fd8faf164486653baf37044534d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jGUuZSiyF5fEbPI6w5c9m5IXgAynpH9Fste+EoEz5BOJOcE/wjyOFwDyOuEIYV+LvfpvWHMKGaNx0FaE1xM7CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T21:47:10.355359Z","bundle_sha256":"7776bb1bc8a0886f1a105df93a45296fb4806e178f06d1cda734c9b5327bafc9"}}