{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:GM3OUWK4TLVSAVGNPJU365C5WN","short_pith_number":"pith:GM3OUWK4","schema_version":"1.0","canonical_sha256":"3336ea595c9aeb2054cd7a69bf745db35a8b06eaca4a893c428c28537323947a","source":{"kind":"arxiv","id":"2011.13585","version":1},"attestation_state":"computed","paper":{"title":"Representation of 2D frame less visual space as a neural manifold and its information geometric interpretation","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.NE","authors_text":"Debasis Mazumdar","submitted_at":"2020-11-27T07:21:43Z","abstract_excerpt":"Representation of 2D frame less visual space as neural manifold and its modelling in the frame work of information geometry is presented. Origin of hyperbolic nature of the visual space is investigated using evidences from neuroscience. Based on the results we propose that the processing of spatial information, particularly estimation of distance, perceiving geometrical curves etc. in the human brain can be modeled in a parametric probability space endowed with Fisher-Rao metric. Compactness, convexity and differentiability of the space is analysed and found that they obey the axioms of G spac"},"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":"2011.13585","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.NE","submitted_at":"2020-11-27T07:21:43Z","cross_cats_sorted":[],"title_canon_sha256":"73b31da9ca6d0550697b68803c69c88cf666d7687a8f796dcf35a56ed30062f9","abstract_canon_sha256":"f578c49721c07d9af4403fe888041f37dedc5f1465a6e3e830a06eef4ec65290"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:54:55.931416Z","signature_b64":"PcVMrWsxxitb43b0RzaqTFSB0LMw8YUt4JLeI5o8yjpP+LsfeoP+rAOGOKxwSLYGR4cMCeOU1V7b/tcyk2CYBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3336ea595c9aeb2054cd7a69bf745db35a8b06eaca4a893c428c28537323947a","last_reissued_at":"2026-07-05T01:54:55.930929Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:54:55.930929Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Representation of 2D frame less visual space as a neural manifold and its information geometric interpretation","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.NE","authors_text":"Debasis Mazumdar","submitted_at":"2020-11-27T07:21:43Z","abstract_excerpt":"Representation of 2D frame less visual space as neural manifold and its modelling in the frame work of information geometry is presented. Origin of hyperbolic nature of the visual space is investigated using evidences from neuroscience. Based on the results we propose that the processing of spatial information, particularly estimation of distance, perceiving geometrical curves etc. in the human brain can be modeled in a parametric probability space endowed with Fisher-Rao metric. Compactness, convexity and differentiability of the space is analysed and found that they obey the axioms of G spac"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2011.13585","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/2011.13585/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":"2011.13585","created_at":"2026-07-05T01:54:55.930990+00:00"},{"alias_kind":"arxiv_version","alias_value":"2011.13585v1","created_at":"2026-07-05T01:54:55.930990+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2011.13585","created_at":"2026-07-05T01:54:55.930990+00:00"},{"alias_kind":"pith_short_12","alias_value":"GM3OUWK4TLVS","created_at":"2026-07-05T01:54:55.930990+00:00"},{"alias_kind":"pith_short_16","alias_value":"GM3OUWK4TLVSAVGN","created_at":"2026-07-05T01:54:55.930990+00:00"},{"alias_kind":"pith_short_8","alias_value":"GM3OUWK4","created_at":"2026-07-05T01:54:55.930990+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2505.13917","citing_title":"Investigation of the neural origin of non-Euclidean visual space and analysis of visual phenomena using information geometry","ref_index":36,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GM3OUWK4TLVSAVGNPJU365C5WN","json":"https://pith.science/pith/GM3OUWK4TLVSAVGNPJU365C5WN.json","graph_json":"https://pith.science/api/pith-number/GM3OUWK4TLVSAVGNPJU365C5WN/graph.json","events_json":"https://pith.science/api/pith-number/GM3OUWK4TLVSAVGNPJU365C5WN/events.json","paper":"https://pith.science/paper/GM3OUWK4"},"agent_actions":{"view_html":"https://pith.science/pith/GM3OUWK4TLVSAVGNPJU365C5WN","download_json":"https://pith.science/pith/GM3OUWK4TLVSAVGNPJU365C5WN.json","view_paper":"https://pith.science/paper/GM3OUWK4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2011.13585&json=true","fetch_graph":"https://pith.science/api/pith-number/GM3OUWK4TLVSAVGNPJU365C5WN/graph.json","fetch_events":"https://pith.science/api/pith-number/GM3OUWK4TLVSAVGNPJU365C5WN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GM3OUWK4TLVSAVGNPJU365C5WN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GM3OUWK4TLVSAVGNPJU365C5WN/action/storage_attestation","attest_author":"https://pith.science/pith/GM3OUWK4TLVSAVGNPJU365C5WN/action/author_attestation","sign_citation":"https://pith.science/pith/GM3OUWK4TLVSAVGNPJU365C5WN/action/citation_signature","submit_replication":"https://pith.science/pith/GM3OUWK4TLVSAVGNPJU365C5WN/action/replication_record"}},"created_at":"2026-07-05T01:54:55.930990+00:00","updated_at":"2026-07-05T01:54:55.930990+00:00"}