{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:SEALXV2V2XGAVVBZSB32OYTG2X","short_pith_number":"pith:SEALXV2V","schema_version":"1.0","canonical_sha256":"9100bbd755d5cc0ad4399077a76266d5cad1d6c45e1ce69a696d70e7d320ad8e","source":{"kind":"arxiv","id":"1406.6740","version":2},"attestation_state":"computed","paper":{"title":"On the integrability of the shift map on twisted pentagram spirals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Gloria Mar\\'i Beffa","submitted_at":"2014-06-26T00:25:31Z","abstract_excerpt":"In this paper we prove that the shift map defined on the moduli space of twisted pentagram spirals of type $(N, 1)$ possesses a non-standard Lax representation with an associated monodromy whose conjugation class is preserved by the map. We prove this by finding a coordinate system in the moduli space of twisted spirals, writing the map in terms of the coordinates and associating a natural parameter-free non-standard Lax representation. We then show that the map is invariant under the action of a $1$-parameter group on the moduli space of twisted $(N,1)$ spirals, which allows us to construct t"},"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":"1406.6740","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-06-26T00:25:31Z","cross_cats_sorted":[],"title_canon_sha256":"34a175abe096168a784b60110dcec7661ba8439abdaa39fe39b255c9d3dc84b9","abstract_canon_sha256":"a842018a16fd4651aefa9603150b7c08bc9a0be590fa3744bd9c03806388bba7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:55:43.076873Z","signature_b64":"mdRT1I8Y1ZqXLW8LEkiOiiBHea2NM5jUiXYO9a7r7HbvxIvQMaKovy66Yx6ce97nLPPJXNzafg1V0/Wgpd77BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9100bbd755d5cc0ad4399077a76266d5cad1d6c45e1ce69a696d70e7d320ad8e","last_reissued_at":"2026-05-18T01:55:43.076163Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:55:43.076163Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the integrability of the shift map on twisted pentagram spirals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Gloria Mar\\'i Beffa","submitted_at":"2014-06-26T00:25:31Z","abstract_excerpt":"In this paper we prove that the shift map defined on the moduli space of twisted pentagram spirals of type $(N, 1)$ possesses a non-standard Lax representation with an associated monodromy whose conjugation class is preserved by the map. We prove this by finding a coordinate system in the moduli space of twisted spirals, writing the map in terms of the coordinates and associating a natural parameter-free non-standard Lax representation. We then show that the map is invariant under the action of a $1$-parameter group on the moduli space of twisted $(N,1)$ spirals, which allows us to construct t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.6740","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":"1406.6740","created_at":"2026-05-18T01:55:43.076286+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.6740v2","created_at":"2026-05-18T01:55:43.076286+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.6740","created_at":"2026-05-18T01:55:43.076286+00:00"},{"alias_kind":"pith_short_12","alias_value":"SEALXV2V2XGA","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_16","alias_value":"SEALXV2V2XGAVVBZ","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_8","alias_value":"SEALXV2V","created_at":"2026-05-18T12:28:49.207871+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/SEALXV2V2XGAVVBZSB32OYTG2X","json":"https://pith.science/pith/SEALXV2V2XGAVVBZSB32OYTG2X.json","graph_json":"https://pith.science/api/pith-number/SEALXV2V2XGAVVBZSB32OYTG2X/graph.json","events_json":"https://pith.science/api/pith-number/SEALXV2V2XGAVVBZSB32OYTG2X/events.json","paper":"https://pith.science/paper/SEALXV2V"},"agent_actions":{"view_html":"https://pith.science/pith/SEALXV2V2XGAVVBZSB32OYTG2X","download_json":"https://pith.science/pith/SEALXV2V2XGAVVBZSB32OYTG2X.json","view_paper":"https://pith.science/paper/SEALXV2V","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.6740&json=true","fetch_graph":"https://pith.science/api/pith-number/SEALXV2V2XGAVVBZSB32OYTG2X/graph.json","fetch_events":"https://pith.science/api/pith-number/SEALXV2V2XGAVVBZSB32OYTG2X/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SEALXV2V2XGAVVBZSB32OYTG2X/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SEALXV2V2XGAVVBZSB32OYTG2X/action/storage_attestation","attest_author":"https://pith.science/pith/SEALXV2V2XGAVVBZSB32OYTG2X/action/author_attestation","sign_citation":"https://pith.science/pith/SEALXV2V2XGAVVBZSB32OYTG2X/action/citation_signature","submit_replication":"https://pith.science/pith/SEALXV2V2XGAVVBZSB32OYTG2X/action/replication_record"}},"created_at":"2026-05-18T01:55:43.076286+00:00","updated_at":"2026-05-18T01:55:43.076286+00:00"}