{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:7T34F23IYZAT5SUGHEIRUHOOMZ","short_pith_number":"pith:7T34F23I","schema_version":"1.0","canonical_sha256":"fcf7c2eb68c6413eca8639111a1dce664339822e149c7c88f7062043ba2c8051","source":{"kind":"arxiv","id":"1608.05340","version":1},"attestation_state":"computed","paper":{"title":"Relativistic Kinematics of Two-Parametric Riemann Surface in Genus Two","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["gr-qc","math.MP"],"primary_cat":"math-ph","authors_text":"A.V. Nazarenko, Yu.A. Kulinich","submitted_at":"2016-08-18T17:23:43Z","abstract_excerpt":"It is considered a model of compact Riemann surface in genus two, represented geometrically by two-parametric hyperbolic octagon with an order four automorphism and described algebraically by the corresponding Fuchsian group. Introducing the Fenchel--Nielsen variables, we compute the Weil--Petersson (WP) symplectic two-form for parameter space and analyze the closed isoperimetric orbits of octagons. WP-Area in parameter space and the canonical action--angle variables for the orbits are found. Exploiting the ideas from the loop quantum gravity, we generate relativistic kinematics by the Lorentz"},"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":"1608.05340","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math-ph","submitted_at":"2016-08-18T17:23:43Z","cross_cats_sorted":["gr-qc","math.MP"],"title_canon_sha256":"6147463031627fab881a81962804c2418548bde94c07e7fc3bbd0a155217a47a","abstract_canon_sha256":"eee5601efe8a42bca3d77ff7533702a3575f79960729f6d3a355e4bd5403add1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:31.343425Z","signature_b64":"Ub4t+Y9fsSHPZNHcmvhnQgfPjCK2busx2KETCA6csPckgKUddL2FIYeaUWJOD90Pfpjl1BTr/MuJnpZJv1WaCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fcf7c2eb68c6413eca8639111a1dce664339822e149c7c88f7062043ba2c8051","last_reissued_at":"2026-05-18T01:08:31.342893Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:31.342893Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Relativistic Kinematics of Two-Parametric Riemann Surface in Genus Two","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["gr-qc","math.MP"],"primary_cat":"math-ph","authors_text":"A.V. Nazarenko, Yu.A. Kulinich","submitted_at":"2016-08-18T17:23:43Z","abstract_excerpt":"It is considered a model of compact Riemann surface in genus two, represented geometrically by two-parametric hyperbolic octagon with an order four automorphism and described algebraically by the corresponding Fuchsian group. Introducing the Fenchel--Nielsen variables, we compute the Weil--Petersson (WP) symplectic two-form for parameter space and analyze the closed isoperimetric orbits of octagons. WP-Area in parameter space and the canonical action--angle variables for the orbits are found. Exploiting the ideas from the loop quantum gravity, we generate relativistic kinematics by the Lorentz"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.05340","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":"1608.05340","created_at":"2026-05-18T01:08:31.342991+00:00"},{"alias_kind":"arxiv_version","alias_value":"1608.05340v1","created_at":"2026-05-18T01:08:31.342991+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.05340","created_at":"2026-05-18T01:08:31.342991+00:00"},{"alias_kind":"pith_short_12","alias_value":"7T34F23IYZAT","created_at":"2026-05-18T12:30:04.600751+00:00"},{"alias_kind":"pith_short_16","alias_value":"7T34F23IYZAT5SUG","created_at":"2026-05-18T12:30:04.600751+00:00"},{"alias_kind":"pith_short_8","alias_value":"7T34F23I","created_at":"2026-05-18T12:30:04.600751+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/7T34F23IYZAT5SUGHEIRUHOOMZ","json":"https://pith.science/pith/7T34F23IYZAT5SUGHEIRUHOOMZ.json","graph_json":"https://pith.science/api/pith-number/7T34F23IYZAT5SUGHEIRUHOOMZ/graph.json","events_json":"https://pith.science/api/pith-number/7T34F23IYZAT5SUGHEIRUHOOMZ/events.json","paper":"https://pith.science/paper/7T34F23I"},"agent_actions":{"view_html":"https://pith.science/pith/7T34F23IYZAT5SUGHEIRUHOOMZ","download_json":"https://pith.science/pith/7T34F23IYZAT5SUGHEIRUHOOMZ.json","view_paper":"https://pith.science/paper/7T34F23I","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1608.05340&json=true","fetch_graph":"https://pith.science/api/pith-number/7T34F23IYZAT5SUGHEIRUHOOMZ/graph.json","fetch_events":"https://pith.science/api/pith-number/7T34F23IYZAT5SUGHEIRUHOOMZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7T34F23IYZAT5SUGHEIRUHOOMZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7T34F23IYZAT5SUGHEIRUHOOMZ/action/storage_attestation","attest_author":"https://pith.science/pith/7T34F23IYZAT5SUGHEIRUHOOMZ/action/author_attestation","sign_citation":"https://pith.science/pith/7T34F23IYZAT5SUGHEIRUHOOMZ/action/citation_signature","submit_replication":"https://pith.science/pith/7T34F23IYZAT5SUGHEIRUHOOMZ/action/replication_record"}},"created_at":"2026-05-18T01:08:31.342991+00:00","updated_at":"2026-05-18T01:08:31.342991+00:00"}