{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:KNPLGYVLYUYVTM25CDYIOCZPLG","short_pith_number":"pith:KNPLGYVL","schema_version":"1.0","canonical_sha256":"535eb362abc53159b35d10f0870b2f59ac44a3fe81d926a7ddc91d70a1d92fb3","source":{"kind":"arxiv","id":"1409.5611","version":1},"attestation_state":"computed","paper":{"title":"Isometries of two dimensional Hilbert Geometries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.MG","authors_text":"Marc Troyanov, Vladimir S. Matveev","submitted_at":"2014-09-19T11:46:02Z","abstract_excerpt":"We prove that any isometry between two dimensional Hilbert geometries is a projective transformation unless the domains are interiors of triangles."},"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":"1409.5611","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2014-09-19T11:46:02Z","cross_cats_sorted":[],"title_canon_sha256":"a71a3ed172fd14c635e7a1efb0628c4162385bc314f9fd27b01e3893dc13ebae","abstract_canon_sha256":"26c2d74f68787baa0a22e559a1c15d0cf412f3a50405e5b99ba0ff11e8a7ba31"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:42:26.821105Z","signature_b64":"5ZuTrMnQtxl6cS2XZJr9hoYoTvGqenrmIvkqGe9vCLqKV/IMIe3pZXpwPth/Iqhf8fq4IWH5sxr5LtC5N1BTAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"535eb362abc53159b35d10f0870b2f59ac44a3fe81d926a7ddc91d70a1d92fb3","last_reissued_at":"2026-05-18T02:42:26.820278Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:42:26.820278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Isometries of two dimensional Hilbert Geometries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.MG","authors_text":"Marc Troyanov, Vladimir S. Matveev","submitted_at":"2014-09-19T11:46:02Z","abstract_excerpt":"We prove that any isometry between two dimensional Hilbert geometries is a projective transformation unless the domains are interiors of triangles."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.5611","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":""},"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":"1409.5611","created_at":"2026-05-18T02:42:26.820428+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.5611v1","created_at":"2026-05-18T02:42:26.820428+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.5611","created_at":"2026-05-18T02:42:26.820428+00:00"},{"alias_kind":"pith_short_12","alias_value":"KNPLGYVLYUYV","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_16","alias_value":"KNPLGYVLYUYVTM25","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_8","alias_value":"KNPLGYVL","created_at":"2026-05-18T12:28:35.611951+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/KNPLGYVLYUYVTM25CDYIOCZPLG","json":"https://pith.science/pith/KNPLGYVLYUYVTM25CDYIOCZPLG.json","graph_json":"https://pith.science/api/pith-number/KNPLGYVLYUYVTM25CDYIOCZPLG/graph.json","events_json":"https://pith.science/api/pith-number/KNPLGYVLYUYVTM25CDYIOCZPLG/events.json","paper":"https://pith.science/paper/KNPLGYVL"},"agent_actions":{"view_html":"https://pith.science/pith/KNPLGYVLYUYVTM25CDYIOCZPLG","download_json":"https://pith.science/pith/KNPLGYVLYUYVTM25CDYIOCZPLG.json","view_paper":"https://pith.science/paper/KNPLGYVL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.5611&json=true","fetch_graph":"https://pith.science/api/pith-number/KNPLGYVLYUYVTM25CDYIOCZPLG/graph.json","fetch_events":"https://pith.science/api/pith-number/KNPLGYVLYUYVTM25CDYIOCZPLG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KNPLGYVLYUYVTM25CDYIOCZPLG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KNPLGYVLYUYVTM25CDYIOCZPLG/action/storage_attestation","attest_author":"https://pith.science/pith/KNPLGYVLYUYVTM25CDYIOCZPLG/action/author_attestation","sign_citation":"https://pith.science/pith/KNPLGYVLYUYVTM25CDYIOCZPLG/action/citation_signature","submit_replication":"https://pith.science/pith/KNPLGYVLYUYVTM25CDYIOCZPLG/action/replication_record"}},"created_at":"2026-05-18T02:42:26.820428+00:00","updated_at":"2026-05-18T02:42:26.820428+00:00"}