{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:Z5OEH6323ZGSFEW6OB4F7B2AHK","short_pith_number":"pith:Z5OEH632","canonical_record":{"source":{"id":"2409.09257","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-09-14T01:58:56Z","cross_cats_sorted":["gr-qc","quant-ph"],"title_canon_sha256":"4774d17ea87fbb50b2fdf7f8b7aa6a216736a1d103ff0eb2d4200d4aca6dfab2","abstract_canon_sha256":"1b646b0f244a40dc90caed4f107149ccf793a7edf93244e7387c73eea7054cda"},"schema_version":"1.0"},"canonical_sha256":"cf5c43fb7ade4d2292de70785f87403aba909baa3c46c79a74f33776578eaebe","source":{"kind":"arxiv","id":"2409.09257","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.09257","created_at":"2026-07-05T09:09:06Z"},{"alias_kind":"arxiv_version","alias_value":"2409.09257v2","created_at":"2026-07-05T09:09:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.09257","created_at":"2026-07-05T09:09:06Z"},{"alias_kind":"pith_short_12","alias_value":"Z5OEH6323ZGS","created_at":"2026-07-05T09:09:06Z"},{"alias_kind":"pith_short_16","alias_value":"Z5OEH6323ZGSFEW6","created_at":"2026-07-05T09:09:06Z"},{"alias_kind":"pith_short_8","alias_value":"Z5OEH632","created_at":"2026-07-05T09:09:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:Z5OEH6323ZGSFEW6OB4F7B2AHK","target":"record","payload":{"canonical_record":{"source":{"id":"2409.09257","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-09-14T01:58:56Z","cross_cats_sorted":["gr-qc","quant-ph"],"title_canon_sha256":"4774d17ea87fbb50b2fdf7f8b7aa6a216736a1d103ff0eb2d4200d4aca6dfab2","abstract_canon_sha256":"1b646b0f244a40dc90caed4f107149ccf793a7edf93244e7387c73eea7054cda"},"schema_version":"1.0"},"canonical_sha256":"cf5c43fb7ade4d2292de70785f87403aba909baa3c46c79a74f33776578eaebe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:09:06.927753Z","signature_b64":"RzVOZqP+tzX+ABNaPYEmutNYIsT0/1kKHTxicnnbR1qYF9KPkd72e96Eqm8/Qg4a59TcUi/Pc55j/yRA79eYDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf5c43fb7ade4d2292de70785f87403aba909baa3c46c79a74f33776578eaebe","last_reissued_at":"2026-07-05T09:09:06.927233Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:09:06.927233Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2409.09257","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":"2026-07-05T09:09:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yda6aAoOXKYdG7Nn/E4i9WpFNV7X99MmgBAzLi5h8sqaXGTkGB6eF/Yq+L7gLJAxhDD6VOMdoB/WzY6+k5ONBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T03:19:04.104956Z"},"content_sha256":"9393f5d51d31e2e50e389b8417a89d20d8de2348e8e64b09390904b9318f8252","schema_version":"1.0","event_id":"sha256:9393f5d51d31e2e50e389b8417a89d20d8de2348e8e64b09390904b9318f8252"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:Z5OEH6323ZGSFEW6OB4F7B2AHK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Geometric phase assisted detection of Lorentz-invariance violation from modified dispersion at high energies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","quant-ph"],"primary_cat":"hep-th","authors_text":"Yihao Wu, Zehua Tian","submitted_at":"2024-09-14T01:58:56Z","abstract_excerpt":"Many theories of quantum gravity propose Lorentz-violating dispersion relations of the form $\\omega_{|\\mathbf{k}|}=|\\mathbf{k}|f(|\\mathbf{k}|/M_\\star)$, which approximately recover to the Lorentz invariance, $\\omega_{|\\mathbf{k}|}\\approx|\\mathbf{k}|$, at the energy scales much below $M_\\star$. However, usually such a scale is assumed to be near the Planck scale, thus the feature of the Lorentz-violating theory is weak and its experimental test becomes extremely challenging. Since the geometric phase (GP) is of accumulative and sensitive nature to weak effects, here we explore the GP acquired b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.09257","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2409.09257/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":"2026-07-05T09:09:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XzAIpRBwXxUxbab5+aYQeIsdIKJ8Fl9i9kuw/g5A7G0hC63bONwnuCQl8ZiM2DfyXQiONniHJmonFQ9+ILPxDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T03:19:04.105516Z"},"content_sha256":"c92c060afcc0177cb0d699b990b9d5b730b665a4ebd5d95ee5dad1f4318fced4","schema_version":"1.0","event_id":"sha256:c92c060afcc0177cb0d699b990b9d5b730b665a4ebd5d95ee5dad1f4318fced4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z5OEH6323ZGSFEW6OB4F7B2AHK/bundle.json","state_url":"https://pith.science/pith/Z5OEH6323ZGSFEW6OB4F7B2AHK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z5OEH6323ZGSFEW6OB4F7B2AHK/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":"2026-08-04T03:19:04Z","links":{"resolver":"https://pith.science/pith/Z5OEH6323ZGSFEW6OB4F7B2AHK","bundle":"https://pith.science/pith/Z5OEH6323ZGSFEW6OB4F7B2AHK/bundle.json","state":"https://pith.science/pith/Z5OEH6323ZGSFEW6OB4F7B2AHK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z5OEH6323ZGSFEW6OB4F7B2AHK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:Z5OEH6323ZGSFEW6OB4F7B2AHK","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":"1b646b0f244a40dc90caed4f107149ccf793a7edf93244e7387c73eea7054cda","cross_cats_sorted":["gr-qc","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-09-14T01:58:56Z","title_canon_sha256":"4774d17ea87fbb50b2fdf7f8b7aa6a216736a1d103ff0eb2d4200d4aca6dfab2"},"schema_version":"1.0","source":{"id":"2409.09257","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.09257","created_at":"2026-07-05T09:09:06Z"},{"alias_kind":"arxiv_version","alias_value":"2409.09257v2","created_at":"2026-07-05T09:09:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.09257","created_at":"2026-07-05T09:09:06Z"},{"alias_kind":"pith_short_12","alias_value":"Z5OEH6323ZGS","created_at":"2026-07-05T09:09:06Z"},{"alias_kind":"pith_short_16","alias_value":"Z5OEH6323ZGSFEW6","created_at":"2026-07-05T09:09:06Z"},{"alias_kind":"pith_short_8","alias_value":"Z5OEH632","created_at":"2026-07-05T09:09:06Z"}],"graph_snapshots":[{"event_id":"sha256:c92c060afcc0177cb0d699b990b9d5b730b665a4ebd5d95ee5dad1f4318fced4","target":"graph","created_at":"2026-07-05T09:09:06Z","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/2409.09257/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Many theories of quantum gravity propose Lorentz-violating dispersion relations of the form $\\omega_{|\\mathbf{k}|}=|\\mathbf{k}|f(|\\mathbf{k}|/M_\\star)$, which approximately recover to the Lorentz invariance, $\\omega_{|\\mathbf{k}|}\\approx|\\mathbf{k}|$, at the energy scales much below $M_\\star$. However, usually such a scale is assumed to be near the Planck scale, thus the feature of the Lorentz-violating theory is weak and its experimental test becomes extremely challenging. Since the geometric phase (GP) is of accumulative and sensitive nature to weak effects, here we explore the GP acquired b","authors_text":"Yihao Wu, Zehua Tian","cross_cats":["gr-qc","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-09-14T01:58:56Z","title":"Geometric phase assisted detection of Lorentz-invariance violation from modified dispersion at high energies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.09257","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":"sha256:9393f5d51d31e2e50e389b8417a89d20d8de2348e8e64b09390904b9318f8252","target":"record","created_at":"2026-07-05T09:09:06Z","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":"1b646b0f244a40dc90caed4f107149ccf793a7edf93244e7387c73eea7054cda","cross_cats_sorted":["gr-qc","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-09-14T01:58:56Z","title_canon_sha256":"4774d17ea87fbb50b2fdf7f8b7aa6a216736a1d103ff0eb2d4200d4aca6dfab2"},"schema_version":"1.0","source":{"id":"2409.09257","kind":"arxiv","version":2}},"canonical_sha256":"cf5c43fb7ade4d2292de70785f87403aba909baa3c46c79a74f33776578eaebe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf5c43fb7ade4d2292de70785f87403aba909baa3c46c79a74f33776578eaebe","first_computed_at":"2026-07-05T09:09:06.927233Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:09:06.927233Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RzVOZqP+tzX+ABNaPYEmutNYIsT0/1kKHTxicnnbR1qYF9KPkd72e96Eqm8/Qg4a59TcUi/Pc55j/yRA79eYDA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:09:06.927753Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.09257","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9393f5d51d31e2e50e389b8417a89d20d8de2348e8e64b09390904b9318f8252","sha256:c92c060afcc0177cb0d699b990b9d5b730b665a4ebd5d95ee5dad1f4318fced4"],"state_sha256":"73bccd017bca65692dfc82a32c4f17447088ecbf312939f197806022d871da01"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3ZlNEeqpbVd7G5IIScplfjzSnSqkw+XwrBq2q3OgK4YBXd/fuq49qhhzXLVyLPoMj3xzOfdJkzRzliXJVjycAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T03:19:04.111688Z","bundle_sha256":"e387a7019752597701a19e29c07367de9eefad62372b70fab89e665f5fbc553e"}}