{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:GKJU4UUFFZ6SM3DSENBKF4IEMR","short_pith_number":"pith:GKJU4UUF","schema_version":"1.0","canonical_sha256":"32934e52852e7d266c722342a2f104647851ed2e10c83f3c8931e6caa8cc5d4c","source":{"kind":"arxiv","id":"1804.10414","version":2},"attestation_state":"computed","paper":{"title":"Generalised Potential Functions in Differential Geometry and Information Geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"Florio M. Ciaglia, Giuseppe Marmo, Juan Manuel P\\'erez-Pardo","submitted_at":"2018-04-27T09:34:58Z","abstract_excerpt":"Potential functions can be used as generating potentials of relevant geometric structures for a Riemannian manifold such as the Riemannian metric and affine connections. We study wether this procedure can also be applied to tensors of rank four and find a negative answer. We study this from the perspective of solving the inverse problem and also from an intrinsic point of view."},"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":"1804.10414","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-04-27T09:34:58Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"f502594e7e7e2cda3d66386373d45b10f51b705c03048f8f075d6995437e61cb","abstract_canon_sha256":"e8f36a732fa4ef5f09825084c0a6563ce77b42359d1211e5a098f65690b312dd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:59.211968Z","signature_b64":"flJzPfNmRJLTn5U93gZLYSCA8SgDVa5iTY33JQVkO7eBmw80eliR/cRT+Sw4g4suVKwDcJKqAHDqBEnpMLVmDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"32934e52852e7d266c722342a2f104647851ed2e10c83f3c8931e6caa8cc5d4c","last_reissued_at":"2026-05-17T23:54:59.211508Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:59.211508Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generalised Potential Functions in Differential Geometry and Information Geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"Florio M. Ciaglia, Giuseppe Marmo, Juan Manuel P\\'erez-Pardo","submitted_at":"2018-04-27T09:34:58Z","abstract_excerpt":"Potential functions can be used as generating potentials of relevant geometric structures for a Riemannian manifold such as the Riemannian metric and affine connections. We study wether this procedure can also be applied to tensors of rank four and find a negative answer. We study this from the perspective of solving the inverse problem and also from an intrinsic point of view."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.10414","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1804.10414","created_at":"2026-05-17T23:54:59.211575+00:00"},{"alias_kind":"arxiv_version","alias_value":"1804.10414v2","created_at":"2026-05-17T23:54:59.211575+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.10414","created_at":"2026-05-17T23:54:59.211575+00:00"},{"alias_kind":"pith_short_12","alias_value":"GKJU4UUFFZ6S","created_at":"2026-05-18T12:32:25.280505+00:00"},{"alias_kind":"pith_short_16","alias_value":"GKJU4UUFFZ6SM3DS","created_at":"2026-05-18T12:32:25.280505+00:00"},{"alias_kind":"pith_short_8","alias_value":"GKJU4UUF","created_at":"2026-05-18T12:32:25.280505+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/GKJU4UUFFZ6SM3DSENBKF4IEMR","json":"https://pith.science/pith/GKJU4UUFFZ6SM3DSENBKF4IEMR.json","graph_json":"https://pith.science/api/pith-number/GKJU4UUFFZ6SM3DSENBKF4IEMR/graph.json","events_json":"https://pith.science/api/pith-number/GKJU4UUFFZ6SM3DSENBKF4IEMR/events.json","paper":"https://pith.science/paper/GKJU4UUF"},"agent_actions":{"view_html":"https://pith.science/pith/GKJU4UUFFZ6SM3DSENBKF4IEMR","download_json":"https://pith.science/pith/GKJU4UUFFZ6SM3DSENBKF4IEMR.json","view_paper":"https://pith.science/paper/GKJU4UUF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1804.10414&json=true","fetch_graph":"https://pith.science/api/pith-number/GKJU4UUFFZ6SM3DSENBKF4IEMR/graph.json","fetch_events":"https://pith.science/api/pith-number/GKJU4UUFFZ6SM3DSENBKF4IEMR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GKJU4UUFFZ6SM3DSENBKF4IEMR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GKJU4UUFFZ6SM3DSENBKF4IEMR/action/storage_attestation","attest_author":"https://pith.science/pith/GKJU4UUFFZ6SM3DSENBKF4IEMR/action/author_attestation","sign_citation":"https://pith.science/pith/GKJU4UUFFZ6SM3DSENBKF4IEMR/action/citation_signature","submit_replication":"https://pith.science/pith/GKJU4UUFFZ6SM3DSENBKF4IEMR/action/replication_record"}},"created_at":"2026-05-17T23:54:59.211575+00:00","updated_at":"2026-05-17T23:54:59.211575+00:00"}