{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:SEALXV2V2XGAVVBZSB32OYTG2X","short_pith_number":"pith:SEALXV2V","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"},"canonical_sha256":"9100bbd755d5cc0ad4399077a76266d5cad1d6c45e1ce69a696d70e7d320ad8e","source":{"kind":"arxiv","id":"1406.6740","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.6740","created_at":"2026-05-18T01:55:43Z"},{"alias_kind":"arxiv_version","alias_value":"1406.6740v2","created_at":"2026-05-18T01:55:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.6740","created_at":"2026-05-18T01:55:43Z"},{"alias_kind":"pith_short_12","alias_value":"SEALXV2V2XGA","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"SEALXV2V2XGAVVBZ","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"SEALXV2V","created_at":"2026-05-18T12:28:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:SEALXV2V2XGAVVBZSB32OYTG2X","target":"record","payload":{"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"},"canonical_sha256":"9100bbd755d5cc0ad4399077a76266d5cad1d6c45e1ce69a696d70e7d320ad8e","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"},"source_kind":"arxiv","source_id":"1406.6740","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:55:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dMQWp/XIS4i0Rc++g4ECCQJBEDGbzjEltFfsrZy6iT+lVW1hEiFsztqQ3jvKjuRtMM8P97fERy5PpKAxzcoZAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T14:08:12.368199Z"},"content_sha256":"874f3bb6d53a4f772649fba7b0ec0151666f80b90672f3a8aa3d3ad02fdbd618","schema_version":"1.0","event_id":"sha256:874f3bb6d53a4f772649fba7b0ec0151666f80b90672f3a8aa3d3ad02fdbd618"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:SEALXV2V2XGAVVBZSB32OYTG2X","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:55:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AgbIehQSUd45LVM/AlrleBaGJkLcr7C1OwRfkhMsRv9TWdaJt+UQmZNt/GyhQXq7xseZYsmlDCX0Hj/uq9QvAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T14:08:12.368562Z"},"content_sha256":"abab2ae516f37ccc7cb8e710ba9f5ecb4f36e6896b2732182a5f4e67470234e0","schema_version":"1.0","event_id":"sha256:abab2ae516f37ccc7cb8e710ba9f5ecb4f36e6896b2732182a5f4e67470234e0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SEALXV2V2XGAVVBZSB32OYTG2X/bundle.json","state_url":"https://pith.science/pith/SEALXV2V2XGAVVBZSB32OYTG2X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SEALXV2V2XGAVVBZSB32OYTG2X/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-11T14:08:12Z","links":{"resolver":"https://pith.science/pith/SEALXV2V2XGAVVBZSB32OYTG2X","bundle":"https://pith.science/pith/SEALXV2V2XGAVVBZSB32OYTG2X/bundle.json","state":"https://pith.science/pith/SEALXV2V2XGAVVBZSB32OYTG2X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SEALXV2V2XGAVVBZSB32OYTG2X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:SEALXV2V2XGAVVBZSB32OYTG2X","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"a842018a16fd4651aefa9603150b7c08bc9a0be590fa3744bd9c03806388bba7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-06-26T00:25:31Z","title_canon_sha256":"34a175abe096168a784b60110dcec7661ba8439abdaa39fe39b255c9d3dc84b9"},"schema_version":"1.0","source":{"id":"1406.6740","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.6740","created_at":"2026-05-18T01:55:43Z"},{"alias_kind":"arxiv_version","alias_value":"1406.6740v2","created_at":"2026-05-18T01:55:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.6740","created_at":"2026-05-18T01:55:43Z"},{"alias_kind":"pith_short_12","alias_value":"SEALXV2V2XGA","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"SEALXV2V2XGAVVBZ","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"SEALXV2V","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:abab2ae516f37ccc7cb8e710ba9f5ecb4f36e6896b2732182a5f4e67470234e0","target":"graph","created_at":"2026-05-18T01:55:43Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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","authors_text":"Gloria Mar\\'i Beffa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-06-26T00:25:31Z","title":"On the integrability of the shift map on twisted pentagram spirals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.6740","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:874f3bb6d53a4f772649fba7b0ec0151666f80b90672f3a8aa3d3ad02fdbd618","target":"record","created_at":"2026-05-18T01:55:43Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"a842018a16fd4651aefa9603150b7c08bc9a0be590fa3744bd9c03806388bba7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-06-26T00:25:31Z","title_canon_sha256":"34a175abe096168a784b60110dcec7661ba8439abdaa39fe39b255c9d3dc84b9"},"schema_version":"1.0","source":{"id":"1406.6740","kind":"arxiv","version":2}},"canonical_sha256":"9100bbd755d5cc0ad4399077a76266d5cad1d6c45e1ce69a696d70e7d320ad8e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9100bbd755d5cc0ad4399077a76266d5cad1d6c45e1ce69a696d70e7d320ad8e","first_computed_at":"2026-05-18T01:55:43.076163Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:55:43.076163Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mdRT1I8Y1ZqXLW8LEkiOiiBHea2NM5jUiXYO9a7r7HbvxIvQMaKovy66Yx6ce97nLPPJXNzafg1V0/Wgpd77BA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:55:43.076873Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.6740","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:874f3bb6d53a4f772649fba7b0ec0151666f80b90672f3a8aa3d3ad02fdbd618","sha256:abab2ae516f37ccc7cb8e710ba9f5ecb4f36e6896b2732182a5f4e67470234e0"],"state_sha256":"f19789db7d840d19afe9dddb0ca1268770ca32894215433c724d79613ec9b2b3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Adn/OjsIH9BV5NCRm6ah7mtvbuJ/+efwdV3j8L42m0Yk2GyGuyeIQmTMcj7Tfe7lfH4oDRhtbGZTkYb1zMjCDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T14:08:12.370577Z","bundle_sha256":"bd25ae26b5f69de75c53ebc90cb99e236b1956be62730a96f802cb8c29b16400"}}