{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:IOAGIPMIG2V247YK5WZ7NV4M5I","short_pith_number":"pith:IOAGIPMI","schema_version":"1.0","canonical_sha256":"4380643d8836abae7f0aedb3f6d78cea00105d113cd06265d18f26b23861bd93","source":{"kind":"arxiv","id":"2202.08976","version":1},"attestation_state":"computed","paper":{"title":"Minkowski tensor-based shape analysis methods on the sphere","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"astro-ph.IM","authors_text":"Caroline Collischon, Christoph R\\\"ath, Manami Sasaki, Michael Klatt","submitted_at":"2022-02-16T14:57:47Z","abstract_excerpt":"Recently, Minkowski Tensors (MT) have gained popularity for morphological analysis tasks. As opposed to the scalar Minkowski functionals (MF; in 2D given by area, perimeter and Euler characteristic), MT can characterize symmetry and orientation of a body. This has been used for a variety of tasks, e.g. to detect interstellar bubbles by tracing back the origins of filaments in HII-regions, or to search for alignment of structures in the CMB. I present a marching-square-based method for calculating MT and MF on the sphere for maps in the Healpix format. MT are calculated for a local neighborhood"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2202.08976","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.IM","submitted_at":"2022-02-16T14:57:47Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"1a61e2c10dce6f71e42d93bd459684db7f311e9e99723c2ed8e6e6eb261fd23a","abstract_canon_sha256":"f8574326e087eeb343f45a790a585922e140f76b48b95f7449d3e217d5a727e3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:58:08.355914Z","signature_b64":"8aeyHVR9jmX2W0UwFDJq8p9RyKoqoP6yvy+jEsHkwBMKJuoTSSkDdZnJk0IFqkpNHkmJX7KnI3qTxaEeWmfIAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4380643d8836abae7f0aedb3f6d78cea00105d113cd06265d18f26b23861bd93","last_reissued_at":"2026-07-05T03:58:08.355477Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:58:08.355477Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Minkowski tensor-based shape analysis methods on the sphere","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"astro-ph.IM","authors_text":"Caroline Collischon, Christoph R\\\"ath, Manami Sasaki, Michael Klatt","submitted_at":"2022-02-16T14:57:47Z","abstract_excerpt":"Recently, Minkowski Tensors (MT) have gained popularity for morphological analysis tasks. As opposed to the scalar Minkowski functionals (MF; in 2D given by area, perimeter and Euler characteristic), MT can characterize symmetry and orientation of a body. This has been used for a variety of tasks, e.g. to detect interstellar bubbles by tracing back the origins of filaments in HII-regions, or to search for alignment of structures in the CMB. I present a marching-square-based method for calculating MT and MF on the sphere for maps in the Healpix format. MT are calculated for a local neighborhood"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.08976","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/2202.08976/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2202.08976","created_at":"2026-07-05T03:58:08.355543+00:00"},{"alias_kind":"arxiv_version","alias_value":"2202.08976v1","created_at":"2026-07-05T03:58:08.355543+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.08976","created_at":"2026-07-05T03:58:08.355543+00:00"},{"alias_kind":"pith_short_12","alias_value":"IOAGIPMIG2V2","created_at":"2026-07-05T03:58:08.355543+00:00"},{"alias_kind":"pith_short_16","alias_value":"IOAGIPMIG2V247YK","created_at":"2026-07-05T03:58:08.355543+00:00"},{"alias_kind":"pith_short_8","alias_value":"IOAGIPMI","created_at":"2026-07-05T03:58:08.355543+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IOAGIPMIG2V247YK5WZ7NV4M5I","json":"https://pith.science/pith/IOAGIPMIG2V247YK5WZ7NV4M5I.json","graph_json":"https://pith.science/api/pith-number/IOAGIPMIG2V247YK5WZ7NV4M5I/graph.json","events_json":"https://pith.science/api/pith-number/IOAGIPMIG2V247YK5WZ7NV4M5I/events.json","paper":"https://pith.science/paper/IOAGIPMI"},"agent_actions":{"view_html":"https://pith.science/pith/IOAGIPMIG2V247YK5WZ7NV4M5I","download_json":"https://pith.science/pith/IOAGIPMIG2V247YK5WZ7NV4M5I.json","view_paper":"https://pith.science/paper/IOAGIPMI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2202.08976&json=true","fetch_graph":"https://pith.science/api/pith-number/IOAGIPMIG2V247YK5WZ7NV4M5I/graph.json","fetch_events":"https://pith.science/api/pith-number/IOAGIPMIG2V247YK5WZ7NV4M5I/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IOAGIPMIG2V247YK5WZ7NV4M5I/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IOAGIPMIG2V247YK5WZ7NV4M5I/action/storage_attestation","attest_author":"https://pith.science/pith/IOAGIPMIG2V247YK5WZ7NV4M5I/action/author_attestation","sign_citation":"https://pith.science/pith/IOAGIPMIG2V247YK5WZ7NV4M5I/action/citation_signature","submit_replication":"https://pith.science/pith/IOAGIPMIG2V247YK5WZ7NV4M5I/action/replication_record"}},"created_at":"2026-07-05T03:58:08.355543+00:00","updated_at":"2026-07-05T03:58:08.355543+00:00"}