{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:SLVR4MSTMD5AWE2XIVFIUBY5PJ","short_pith_number":"pith:SLVR4MST","canonical_record":{"source":{"id":"2505.04932","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.optics","submitted_at":"2025-05-08T04:15:07Z","cross_cats_sorted":[],"title_canon_sha256":"7b8e987c54b146c61d3fbd4a5704c9a090b1c9c1f1f16001a8bcdb071680608a","abstract_canon_sha256":"ef82756776a2a42a66afe0bbec44ff3bf03f6d66b0818547e63b225824cd8ac0"},"schema_version":"1.0"},"canonical_sha256":"92eb1e325360fa0b1357454a8a071d7a74806cbc0d558c81f7541fd67b6a3abd","source":{"kind":"arxiv","id":"2505.04932","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.04932","created_at":"2026-07-05T11:00:16Z"},{"alias_kind":"arxiv_version","alias_value":"2505.04932v1","created_at":"2026-07-05T11:00:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.04932","created_at":"2026-07-05T11:00:16Z"},{"alias_kind":"pith_short_12","alias_value":"SLVR4MSTMD5A","created_at":"2026-07-05T11:00:16Z"},{"alias_kind":"pith_short_16","alias_value":"SLVR4MSTMD5AWE2X","created_at":"2026-07-05T11:00:16Z"},{"alias_kind":"pith_short_8","alias_value":"SLVR4MST","created_at":"2026-07-05T11:00:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:SLVR4MSTMD5AWE2XIVFIUBY5PJ","target":"record","payload":{"canonical_record":{"source":{"id":"2505.04932","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.optics","submitted_at":"2025-05-08T04:15:07Z","cross_cats_sorted":[],"title_canon_sha256":"7b8e987c54b146c61d3fbd4a5704c9a090b1c9c1f1f16001a8bcdb071680608a","abstract_canon_sha256":"ef82756776a2a42a66afe0bbec44ff3bf03f6d66b0818547e63b225824cd8ac0"},"schema_version":"1.0"},"canonical_sha256":"92eb1e325360fa0b1357454a8a071d7a74806cbc0d558c81f7541fd67b6a3abd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:00:16.111444Z","signature_b64":"6mGlZ/KauKUySBp+gJsIOIrlUJhI6uYEnKmReESuxVBBKWVUvf4RZvBxmB0zbuuW62/IShXsc+LHJHbxZnjSCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"92eb1e325360fa0b1357454a8a071d7a74806cbc0d558c81f7541fd67b6a3abd","last_reissued_at":"2026-07-05T11:00:16.110966Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:00:16.110966Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2505.04932","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":"2026-07-05T11:00:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KUI2F5NH4ddd1KRo5J7qPZ4QFgacWn7ylp6zcD0AzEBfihnxx5xMMwCIQMMSGsgYIxfbmfiH0Ds8kd2K0Dj1Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-09T06:01:50.434901Z"},"content_sha256":"d37fcf9d239139b577be5fb5b4a792d8ac61e7d53787ec36c832591efda2313b","schema_version":"1.0","event_id":"sha256:d37fcf9d239139b577be5fb5b4a792d8ac61e7d53787ec36c832591efda2313b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:SLVR4MSTMD5AWE2XIVFIUBY5PJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-Hermitian exceptional physics in RP^2 hyperbolic media","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Hong Chen, Shengyu Hu, Shuqi Chen, Wenwei Liu, Zhiwei Guo","submitted_at":"2025-05-08T04:15:07Z","abstract_excerpt":"Conventional momentum space provides an orientable base space of a torus for topological classifications based on band theory. Here, we introduce a non-orientable momentum space isomorphic to the real projective plane RP^2 within the low-symmetry media. We show that the local band fluidity can be characterized by an expanded dihedral group with non-Abelian properties, while the global band fluidity offers a versatile platform to explore the evolution of non-Hermitian exceptional manifolds, including order-1, higher-order, hybrid exceptional manifolds, diabolic points and even bound states in t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.04932","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/2505.04932/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":"2026-07-05T11:00:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"erl3wH9PHQ8EF2BLqoG2HXS8SJoPfVjHQNGlmjly/4h51M1evDbqI5/ZB+3tGA1JKL7fkzWZ0JAbYhW2E2SsBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-09T06:01:50.435279Z"},"content_sha256":"0e787f7cd386ba1335702c9185d1f771728c05e3ce38e20267928e5c84113d03","schema_version":"1.0","event_id":"sha256:0e787f7cd386ba1335702c9185d1f771728c05e3ce38e20267928e5c84113d03"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SLVR4MSTMD5AWE2XIVFIUBY5PJ/bundle.json","state_url":"https://pith.science/pith/SLVR4MSTMD5AWE2XIVFIUBY5PJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SLVR4MSTMD5AWE2XIVFIUBY5PJ/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":"2026-07-09T06:01:50Z","links":{"resolver":"https://pith.science/pith/SLVR4MSTMD5AWE2XIVFIUBY5PJ","bundle":"https://pith.science/pith/SLVR4MSTMD5AWE2XIVFIUBY5PJ/bundle.json","state":"https://pith.science/pith/SLVR4MSTMD5AWE2XIVFIUBY5PJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SLVR4MSTMD5AWE2XIVFIUBY5PJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:SLVR4MSTMD5AWE2XIVFIUBY5PJ","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":"ef82756776a2a42a66afe0bbec44ff3bf03f6d66b0818547e63b225824cd8ac0","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.optics","submitted_at":"2025-05-08T04:15:07Z","title_canon_sha256":"7b8e987c54b146c61d3fbd4a5704c9a090b1c9c1f1f16001a8bcdb071680608a"},"schema_version":"1.0","source":{"id":"2505.04932","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.04932","created_at":"2026-07-05T11:00:16Z"},{"alias_kind":"arxiv_version","alias_value":"2505.04932v1","created_at":"2026-07-05T11:00:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.04932","created_at":"2026-07-05T11:00:16Z"},{"alias_kind":"pith_short_12","alias_value":"SLVR4MSTMD5A","created_at":"2026-07-05T11:00:16Z"},{"alias_kind":"pith_short_16","alias_value":"SLVR4MSTMD5AWE2X","created_at":"2026-07-05T11:00:16Z"},{"alias_kind":"pith_short_8","alias_value":"SLVR4MST","created_at":"2026-07-05T11:00:16Z"}],"graph_snapshots":[{"event_id":"sha256:0e787f7cd386ba1335702c9185d1f771728c05e3ce38e20267928e5c84113d03","target":"graph","created_at":"2026-07-05T11:00:16Z","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/2505.04932/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Conventional momentum space provides an orientable base space of a torus for topological classifications based on band theory. Here, we introduce a non-orientable momentum space isomorphic to the real projective plane RP^2 within the low-symmetry media. We show that the local band fluidity can be characterized by an expanded dihedral group with non-Abelian properties, while the global band fluidity offers a versatile platform to explore the evolution of non-Hermitian exceptional manifolds, including order-1, higher-order, hybrid exceptional manifolds, diabolic points and even bound states in t","authors_text":"Hong Chen, Shengyu Hu, Shuqi Chen, Wenwei Liu, Zhiwei Guo","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.optics","submitted_at":"2025-05-08T04:15:07Z","title":"Non-Hermitian exceptional physics in RP^2 hyperbolic media"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.04932","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:d37fcf9d239139b577be5fb5b4a792d8ac61e7d53787ec36c832591efda2313b","target":"record","created_at":"2026-07-05T11:00:16Z","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":"ef82756776a2a42a66afe0bbec44ff3bf03f6d66b0818547e63b225824cd8ac0","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.optics","submitted_at":"2025-05-08T04:15:07Z","title_canon_sha256":"7b8e987c54b146c61d3fbd4a5704c9a090b1c9c1f1f16001a8bcdb071680608a"},"schema_version":"1.0","source":{"id":"2505.04932","kind":"arxiv","version":1}},"canonical_sha256":"92eb1e325360fa0b1357454a8a071d7a74806cbc0d558c81f7541fd67b6a3abd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"92eb1e325360fa0b1357454a8a071d7a74806cbc0d558c81f7541fd67b6a3abd","first_computed_at":"2026-07-05T11:00:16.110966Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:00:16.110966Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6mGlZ/KauKUySBp+gJsIOIrlUJhI6uYEnKmReESuxVBBKWVUvf4RZvBxmB0zbuuW62/IShXsc+LHJHbxZnjSCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:00:16.111444Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.04932","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d37fcf9d239139b577be5fb5b4a792d8ac61e7d53787ec36c832591efda2313b","sha256:0e787f7cd386ba1335702c9185d1f771728c05e3ce38e20267928e5c84113d03"],"state_sha256":"b5965a903d4640c794186105995e3621f6096feb03f352c833666c2778cfb3ea"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q5isZ43OyZRdgK6Zf8tVK4rbQbzk+A8TBxMQ1vzsT+YoPxlf2FRSfxmG+fmPWpoTLi54OgfHgCxF7bl1EOQ9DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-09T06:01:50.437686Z","bundle_sha256":"e81d07280a9fb068a3dec2d8a67df032971f268d28f5a094fd2b16284de55b85"}}