{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:RS35BZVFDDQS7NGMISLESZBFJG","short_pith_number":"pith:RS35BZVF","canonical_record":{"source":{"id":"1802.09156","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2018-02-26T04:35:27Z","cross_cats_sorted":[],"title_canon_sha256":"4e0dac899875f2ba3e0ebfdb385b1224ee34233d5f93c2051b1aa1135d21f6ed","abstract_canon_sha256":"62a6f7c47b0f6096e1dbc1d037d45536347f7ebed0881b6a741d18bce71752a8"},"schema_version":"1.0"},"canonical_sha256":"8cb7d0e6a518e12fb4cc449649642549b136e09f162f5d4b80026378fb6ffbd2","source":{"kind":"arxiv","id":"1802.09156","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.09156","created_at":"2026-05-17T23:57:10Z"},{"alias_kind":"arxiv_version","alias_value":"1802.09156v2","created_at":"2026-05-17T23:57:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.09156","created_at":"2026-05-17T23:57:10Z"},{"alias_kind":"pith_short_12","alias_value":"RS35BZVFDDQS","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"RS35BZVFDDQS7NGM","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"RS35BZVF","created_at":"2026-05-18T12:32:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:RS35BZVFDDQS7NGMISLESZBFJG","target":"record","payload":{"canonical_record":{"source":{"id":"1802.09156","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2018-02-26T04:35:27Z","cross_cats_sorted":[],"title_canon_sha256":"4e0dac899875f2ba3e0ebfdb385b1224ee34233d5f93c2051b1aa1135d21f6ed","abstract_canon_sha256":"62a6f7c47b0f6096e1dbc1d037d45536347f7ebed0881b6a741d18bce71752a8"},"schema_version":"1.0"},"canonical_sha256":"8cb7d0e6a518e12fb4cc449649642549b136e09f162f5d4b80026378fb6ffbd2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:57:10.500582Z","signature_b64":"a/mjrEktCJhM9Xbt3Ysg9isI6gu/CSJxA5B6rA+lZLJMI6wh5hyxNNyV6OXgb2o8Q9Y1gHYmedFiqkGzp2szDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8cb7d0e6a518e12fb4cc449649642549b136e09f162f5d4b80026378fb6ffbd2","last_reissued_at":"2026-05-17T23:57:10.500133Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:57:10.500133Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1802.09156","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":"2026-05-17T23:57:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1Ux5PxnhXGY+kOSTFfu5TbyoN/QNZb2lx34rUqP2O4hz6hg5VSLojHnb1V4TOcHtzpS/DXlCnpLcupRBUjBNDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T18:18:13.119109Z"},"content_sha256":"dc5bb391bfee80c1505bc8f53b6b44cf7c8337a196df24f875b5acb2d0b4528e","schema_version":"1.0","event_id":"sha256:dc5bb391bfee80c1505bc8f53b6b44cf7c8337a196df24f875b5acb2d0b4528e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:RS35BZVFDDQS7NGMISLESZBFJG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Twisted states in low-dimensional hypercubic lattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.AO","authors_text":"Hyunsuk Hong, Seungjae Lee, Young Sul Cho","submitted_at":"2018-02-26T04:35:27Z","abstract_excerpt":"Twisted states with non-zero winding numbers composed of sinusoidally coupled identical oscillators have been observed in a ring. The phase of each oscillator in these states constantly shifts, following its preceding neighbor in a clockwise direction, and the summation of such phase shifts around the ring over $2\\pi$ characterizes the winding number of each state. In this work, we consider finite-sized $d$-dimensional hypercubic lattices, namely square ($d=2$) and cubic ($d=3$) lattices with periodic boundary conditions. For identical oscillators, we observe new states in which the oscillator"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.09156","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":"2026-05-17T23:57:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yFL75dkaaurCO8ec+37tNvJkQI6kJWwhrmErwYH4gz1kPCmAIWZG8pXXirbdk5K0L7nflcxoKwoxudNCtzhPBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T18:18:13.119467Z"},"content_sha256":"bf590a3b1e573f9cc0025df7341948a147c0ba71b055f7abfa909c1255804ef8","schema_version":"1.0","event_id":"sha256:bf590a3b1e573f9cc0025df7341948a147c0ba71b055f7abfa909c1255804ef8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RS35BZVFDDQS7NGMISLESZBFJG/bundle.json","state_url":"https://pith.science/pith/RS35BZVFDDQS7NGMISLESZBFJG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RS35BZVFDDQS7NGMISLESZBFJG/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":"2026-06-23T18:18:13Z","links":{"resolver":"https://pith.science/pith/RS35BZVFDDQS7NGMISLESZBFJG","bundle":"https://pith.science/pith/RS35BZVFDDQS7NGMISLESZBFJG/bundle.json","state":"https://pith.science/pith/RS35BZVFDDQS7NGMISLESZBFJG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RS35BZVFDDQS7NGMISLESZBFJG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:RS35BZVFDDQS7NGMISLESZBFJG","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":"62a6f7c47b0f6096e1dbc1d037d45536347f7ebed0881b6a741d18bce71752a8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2018-02-26T04:35:27Z","title_canon_sha256":"4e0dac899875f2ba3e0ebfdb385b1224ee34233d5f93c2051b1aa1135d21f6ed"},"schema_version":"1.0","source":{"id":"1802.09156","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.09156","created_at":"2026-05-17T23:57:10Z"},{"alias_kind":"arxiv_version","alias_value":"1802.09156v2","created_at":"2026-05-17T23:57:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.09156","created_at":"2026-05-17T23:57:10Z"},{"alias_kind":"pith_short_12","alias_value":"RS35BZVFDDQS","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"RS35BZVFDDQS7NGM","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"RS35BZVF","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:bf590a3b1e573f9cc0025df7341948a147c0ba71b055f7abfa909c1255804ef8","target":"graph","created_at":"2026-05-17T23:57:10Z","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":"Twisted states with non-zero winding numbers composed of sinusoidally coupled identical oscillators have been observed in a ring. The phase of each oscillator in these states constantly shifts, following its preceding neighbor in a clockwise direction, and the summation of such phase shifts around the ring over $2\\pi$ characterizes the winding number of each state. In this work, we consider finite-sized $d$-dimensional hypercubic lattices, namely square ($d=2$) and cubic ($d=3$) lattices with periodic boundary conditions. For identical oscillators, we observe new states in which the oscillator","authors_text":"Hyunsuk Hong, Seungjae Lee, Young Sul Cho","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2018-02-26T04:35:27Z","title":"Twisted states in low-dimensional hypercubic lattices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.09156","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:dc5bb391bfee80c1505bc8f53b6b44cf7c8337a196df24f875b5acb2d0b4528e","target":"record","created_at":"2026-05-17T23:57:10Z","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":"62a6f7c47b0f6096e1dbc1d037d45536347f7ebed0881b6a741d18bce71752a8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2018-02-26T04:35:27Z","title_canon_sha256":"4e0dac899875f2ba3e0ebfdb385b1224ee34233d5f93c2051b1aa1135d21f6ed"},"schema_version":"1.0","source":{"id":"1802.09156","kind":"arxiv","version":2}},"canonical_sha256":"8cb7d0e6a518e12fb4cc449649642549b136e09f162f5d4b80026378fb6ffbd2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8cb7d0e6a518e12fb4cc449649642549b136e09f162f5d4b80026378fb6ffbd2","first_computed_at":"2026-05-17T23:57:10.500133Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:10.500133Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a/mjrEktCJhM9Xbt3Ysg9isI6gu/CSJxA5B6rA+lZLJMI6wh5hyxNNyV6OXgb2o8Q9Y1gHYmedFiqkGzp2szDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:10.500582Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.09156","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dc5bb391bfee80c1505bc8f53b6b44cf7c8337a196df24f875b5acb2d0b4528e","sha256:bf590a3b1e573f9cc0025df7341948a147c0ba71b055f7abfa909c1255804ef8"],"state_sha256":"454e90f0fa2fa672271e706e53a750f375e6e13b043e483da6148c14c4cb8bc1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oeXxOn7/44rrCNy/DRbf+uPn7gI2+4MC6Nz3iLlnV8mgUH2LWCPGAy2YVZccebRySYgEl9EWXyNGeSo1P9ydDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T18:18:13.121338Z","bundle_sha256":"248728a0fcbfa1ccca9bae13cc98e9a9844d528b582749c4862b70dbdff62a31"}}