{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:XJSC2VREI7QBROXRMBB4QGQSPO","short_pith_number":"pith:XJSC2VRE","canonical_record":{"source":{"id":"2504.21094","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2025-04-29T18:05:21Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"a5aa9f478e965cc3dc58d3735004cdd7294666707a746b5db60263105e69cbca","abstract_canon_sha256":"7464834ca6ce17d294c478e3be1d67b268cf3b583db55f0c2a0e4c0aa779dc42"},"schema_version":"1.0"},"canonical_sha256":"ba642d562447e018baf16043c81a127b8c13645c0e0f3aa8166eb0af13beaddd","source":{"kind":"arxiv","id":"2504.21094","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.21094","created_at":"2026-07-05T10:55:56Z"},{"alias_kind":"arxiv_version","alias_value":"2504.21094v1","created_at":"2026-07-05T10:55:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.21094","created_at":"2026-07-05T10:55:56Z"},{"alias_kind":"pith_short_12","alias_value":"XJSC2VREI7QB","created_at":"2026-07-05T10:55:56Z"},{"alias_kind":"pith_short_16","alias_value":"XJSC2VREI7QBROXR","created_at":"2026-07-05T10:55:56Z"},{"alias_kind":"pith_short_8","alias_value":"XJSC2VRE","created_at":"2026-07-05T10:55:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:XJSC2VREI7QBROXRMBB4QGQSPO","target":"record","payload":{"canonical_record":{"source":{"id":"2504.21094","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2025-04-29T18:05:21Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"a5aa9f478e965cc3dc58d3735004cdd7294666707a746b5db60263105e69cbca","abstract_canon_sha256":"7464834ca6ce17d294c478e3be1d67b268cf3b583db55f0c2a0e4c0aa779dc42"},"schema_version":"1.0"},"canonical_sha256":"ba642d562447e018baf16043c81a127b8c13645c0e0f3aa8166eb0af13beaddd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:55:56.601641Z","signature_b64":"X1pGxygMr+OJwtj6E+F02QMYlKybuS1TAdcGNwWl3hNgJIUOfg8RTB+c6iUfT2yxwx24/qjZCIYXzpFxkC23Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ba642d562447e018baf16043c81a127b8c13645c0e0f3aa8166eb0af13beaddd","last_reissued_at":"2026-07-05T10:55:56.601182Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:55:56.601182Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2504.21094","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:55:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vpUNNODqdtaZqqOGVnoZ+9GxAvzJrC4Nxs49WycIa0ttDuVglhCfconqWCJ40P9atBmrq9SuV2/+Wcd0rYVYAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T07:32:59.426801Z"},"content_sha256":"07193b7026362b6b7e9b001375e754964fe9962a733bd7b76a51d6bdbd032490","schema_version":"1.0","event_id":"sha256:07193b7026362b6b7e9b001375e754964fe9962a733bd7b76a51d6bdbd032490"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:XJSC2VREI7QBROXRMBB4QGQSPO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"From NLS type matrix refactorisation problems to set-theoretical solutions of the 2- and 3-simplex equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"Sotiris Konstantinou-Rizos","submitted_at":"2025-04-29T18:05:21Z","abstract_excerpt":"We present a method for constructing hierarchies of solutions to $n$-simplex equations by variating the spectral parameter in their Lax representation. We use this method to derive new solutions to the set-theoretical 2- and 3-simplex equations which are related to the Adler map and Nonlinear Schr\\\"odinger (NLS) type equations. Moreover, we prove that some of the derived Yang--Baxter maps are completely integrable."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.21094","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/2504.21094/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:55:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6/o1xiYiXJNXgiRfBMPjj5l+NPtKmwYbBy/wzXcVvcqD3z35aM1uKMqj0OzRJnBLHWveG2zto08N6bhd0u/fDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T07:32:59.427727Z"},"content_sha256":"b508d99c54e6e1397e8a14c57331279f63b807d0756c556c7cf3ef4d564473d6","schema_version":"1.0","event_id":"sha256:b508d99c54e6e1397e8a14c57331279f63b807d0756c556c7cf3ef4d564473d6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XJSC2VREI7QBROXRMBB4QGQSPO/bundle.json","state_url":"https://pith.science/pith/XJSC2VREI7QBROXRMBB4QGQSPO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XJSC2VREI7QBROXRMBB4QGQSPO/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":"2026-08-17T07:32:59Z","links":{"resolver":"https://pith.science/pith/XJSC2VREI7QBROXRMBB4QGQSPO","bundle":"https://pith.science/pith/XJSC2VREI7QBROXRMBB4QGQSPO/bundle.json","state":"https://pith.science/pith/XJSC2VREI7QBROXRMBB4QGQSPO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XJSC2VREI7QBROXRMBB4QGQSPO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:XJSC2VREI7QBROXRMBB4QGQSPO","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":"7464834ca6ce17d294c478e3be1d67b268cf3b583db55f0c2a0e4c0aa779dc42","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2025-04-29T18:05:21Z","title_canon_sha256":"a5aa9f478e965cc3dc58d3735004cdd7294666707a746b5db60263105e69cbca"},"schema_version":"1.0","source":{"id":"2504.21094","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.21094","created_at":"2026-07-05T10:55:56Z"},{"alias_kind":"arxiv_version","alias_value":"2504.21094v1","created_at":"2026-07-05T10:55:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.21094","created_at":"2026-07-05T10:55:56Z"},{"alias_kind":"pith_short_12","alias_value":"XJSC2VREI7QB","created_at":"2026-07-05T10:55:56Z"},{"alias_kind":"pith_short_16","alias_value":"XJSC2VREI7QBROXR","created_at":"2026-07-05T10:55:56Z"},{"alias_kind":"pith_short_8","alias_value":"XJSC2VRE","created_at":"2026-07-05T10:55:56Z"}],"graph_snapshots":[{"event_id":"sha256:b508d99c54e6e1397e8a14c57331279f63b807d0756c556c7cf3ef4d564473d6","target":"graph","created_at":"2026-07-05T10:55:56Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2504.21094/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a method for constructing hierarchies of solutions to $n$-simplex equations by variating the spectral parameter in their Lax representation. We use this method to derive new solutions to the set-theoretical 2- and 3-simplex equations which are related to the Adler map and Nonlinear Schr\\\"odinger (NLS) type equations. Moreover, we prove that some of the derived Yang--Baxter maps are completely integrable.","authors_text":"Sotiris Konstantinou-Rizos","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2025-04-29T18:05:21Z","title":"From NLS type matrix refactorisation problems to set-theoretical solutions of the 2- and 3-simplex equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.21094","kind":"arxiv","version":1},"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":"sha256:07193b7026362b6b7e9b001375e754964fe9962a733bd7b76a51d6bdbd032490","target":"record","created_at":"2026-07-05T10:55:56Z","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":"7464834ca6ce17d294c478e3be1d67b268cf3b583db55f0c2a0e4c0aa779dc42","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2025-04-29T18:05:21Z","title_canon_sha256":"a5aa9f478e965cc3dc58d3735004cdd7294666707a746b5db60263105e69cbca"},"schema_version":"1.0","source":{"id":"2504.21094","kind":"arxiv","version":1}},"canonical_sha256":"ba642d562447e018baf16043c81a127b8c13645c0e0f3aa8166eb0af13beaddd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ba642d562447e018baf16043c81a127b8c13645c0e0f3aa8166eb0af13beaddd","first_computed_at":"2026-07-05T10:55:56.601182Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:55:56.601182Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"X1pGxygMr+OJwtj6E+F02QMYlKybuS1TAdcGNwWl3hNgJIUOfg8RTB+c6iUfT2yxwx24/qjZCIYXzpFxkC23Aw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:55:56.601641Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.21094","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:07193b7026362b6b7e9b001375e754964fe9962a733bd7b76a51d6bdbd032490","sha256:b508d99c54e6e1397e8a14c57331279f63b807d0756c556c7cf3ef4d564473d6"],"state_sha256":"aa675c2dc39aad15c1980fbd3bfdf8043a42ad2dac8a981fca0bae78ade37497"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cb73wneVIYoXCio/kqQOUmYIzPnSIZr++42yaMArC4NIfLhVhpimzXE+DpoPoxgje1A4+hwaSgZHBaXagabAAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T07:32:59.434942Z","bundle_sha256":"e6331155f3a1a8fce3ee8f6673b712badbca54e02124150bb06a24d148c36e74"}}