{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:2L3UN7EUYOTHN2KTPGQVO3IWXN","short_pith_number":"pith:2L3UN7EU","canonical_record":{"source":{"id":"2504.07928","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-04-10T17:43:43Z","cross_cats_sorted":[],"title_canon_sha256":"ca41eef2274c9aeb9ad53e2e09e8bd210d44afee0cb526815aecf12dedd8a5aa","abstract_canon_sha256":"0c308a9eee4a6aa0acb233697b3ed7c0122e19b1bff16a4cd73c9fc9545d8441"},"schema_version":"1.0"},"canonical_sha256":"d2f746fc94c3a676e95379a1576d16bb6c9737642b30f093c4a73515b8a6c6b4","source":{"kind":"arxiv","id":"2504.07928","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.07928","created_at":"2026-07-05T10:47:22Z"},{"alias_kind":"arxiv_version","alias_value":"2504.07928v1","created_at":"2026-07-05T10:47:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.07928","created_at":"2026-07-05T10:47:22Z"},{"alias_kind":"pith_short_12","alias_value":"2L3UN7EUYOTH","created_at":"2026-07-05T10:47:22Z"},{"alias_kind":"pith_short_16","alias_value":"2L3UN7EUYOTHN2KT","created_at":"2026-07-05T10:47:22Z"},{"alias_kind":"pith_short_8","alias_value":"2L3UN7EU","created_at":"2026-07-05T10:47:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:2L3UN7EUYOTHN2KTPGQVO3IWXN","target":"record","payload":{"canonical_record":{"source":{"id":"2504.07928","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-04-10T17:43:43Z","cross_cats_sorted":[],"title_canon_sha256":"ca41eef2274c9aeb9ad53e2e09e8bd210d44afee0cb526815aecf12dedd8a5aa","abstract_canon_sha256":"0c308a9eee4a6aa0acb233697b3ed7c0122e19b1bff16a4cd73c9fc9545d8441"},"schema_version":"1.0"},"canonical_sha256":"d2f746fc94c3a676e95379a1576d16bb6c9737642b30f093c4a73515b8a6c6b4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:47:22.054487Z","signature_b64":"Nsffsoip+1t1Q0Ay+Me0JLNyG7cwy8BDEwj6pqaco/GQV5COjyL6A1eaDYM1xZCkqXD1hSVLqG3xC/xD2aC+CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d2f746fc94c3a676e95379a1576d16bb6c9737642b30f093c4a73515b8a6c6b4","last_reissued_at":"2026-07-05T10:47:22.053940Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:47:22.053940Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2504.07928","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":"2026-07-05T10:47:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yBYuQC7gGel/+Xc9YMqiz5GeOqX4Y5oXYanuQxrPCU6uGYdipzIBI+kYEMFXGwqjKh4wV/GoCXS4hdy5YyCtBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T18:50:20.619542Z"},"content_sha256":"39423f0ce9757997a18802548b9fa2c2eb65b01254d45bb22bdd469e81b1dbd5","schema_version":"1.0","event_id":"sha256:39423f0ce9757997a18802548b9fa2c2eb65b01254d45bb22bdd469e81b1dbd5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:2L3UN7EUYOTHN2KTPGQVO3IWXN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Riemann zeros and the KKR determinant","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Zongrui Pei","submitted_at":"2025-04-10T17:43:43Z","abstract_excerpt":"We transform the counting function for the Riemann zeros into a Korringa-Kohn-Rostoker (KKR) determinant, assisted by Krein's theorem. This is based on our observation that the function derived from a few methods can all be recast into two terms: one corresponds to the scattering phase, and the other is similar to structure constants related to the Green function. We also discuss the possible physical realizations. Our method provides a new physical pathway towards the solution of the Riemann hypothesis."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.07928","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/2504.07928/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":"2026-07-05T10:47:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ph1xfeEnql+UnEwobjuvYb9Sa3Hg0Y9xi3bFrUgQFahpR6Xwmf1gUCiTDwTHbSoFx2nXMuubWwLCj9hzcejsCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T18:50:20.620047Z"},"content_sha256":"9de2d26e4910504f26491592e4d681201715af9208b9c4a8797dd07fa4cc4e5f","schema_version":"1.0","event_id":"sha256:9de2d26e4910504f26491592e4d681201715af9208b9c4a8797dd07fa4cc4e5f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2L3UN7EUYOTHN2KTPGQVO3IWXN/bundle.json","state_url":"https://pith.science/pith/2L3UN7EUYOTHN2KTPGQVO3IWXN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2L3UN7EUYOTHN2KTPGQVO3IWXN/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":"2026-08-21T18:50:20Z","links":{"resolver":"https://pith.science/pith/2L3UN7EUYOTHN2KTPGQVO3IWXN","bundle":"https://pith.science/pith/2L3UN7EUYOTHN2KTPGQVO3IWXN/bundle.json","state":"https://pith.science/pith/2L3UN7EUYOTHN2KTPGQVO3IWXN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2L3UN7EUYOTHN2KTPGQVO3IWXN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:2L3UN7EUYOTHN2KTPGQVO3IWXN","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":"0c308a9eee4a6aa0acb233697b3ed7c0122e19b1bff16a4cd73c9fc9545d8441","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-04-10T17:43:43Z","title_canon_sha256":"ca41eef2274c9aeb9ad53e2e09e8bd210d44afee0cb526815aecf12dedd8a5aa"},"schema_version":"1.0","source":{"id":"2504.07928","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.07928","created_at":"2026-07-05T10:47:22Z"},{"alias_kind":"arxiv_version","alias_value":"2504.07928v1","created_at":"2026-07-05T10:47:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.07928","created_at":"2026-07-05T10:47:22Z"},{"alias_kind":"pith_short_12","alias_value":"2L3UN7EUYOTH","created_at":"2026-07-05T10:47:22Z"},{"alias_kind":"pith_short_16","alias_value":"2L3UN7EUYOTHN2KT","created_at":"2026-07-05T10:47:22Z"},{"alias_kind":"pith_short_8","alias_value":"2L3UN7EU","created_at":"2026-07-05T10:47:22Z"}],"graph_snapshots":[{"event_id":"sha256:9de2d26e4910504f26491592e4d681201715af9208b9c4a8797dd07fa4cc4e5f","target":"graph","created_at":"2026-07-05T10:47:22Z","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/2504.07928/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We transform the counting function for the Riemann zeros into a Korringa-Kohn-Rostoker (KKR) determinant, assisted by Krein's theorem. This is based on our observation that the function derived from a few methods can all be recast into two terms: one corresponds to the scattering phase, and the other is similar to structure constants related to the Green function. We also discuss the possible physical realizations. Our method provides a new physical pathway towards the solution of the Riemann hypothesis.","authors_text":"Zongrui Pei","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-04-10T17:43:43Z","title":"Riemann zeros and the KKR determinant"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.07928","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":"sha256:39423f0ce9757997a18802548b9fa2c2eb65b01254d45bb22bdd469e81b1dbd5","target":"record","created_at":"2026-07-05T10:47:22Z","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":"0c308a9eee4a6aa0acb233697b3ed7c0122e19b1bff16a4cd73c9fc9545d8441","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-04-10T17:43:43Z","title_canon_sha256":"ca41eef2274c9aeb9ad53e2e09e8bd210d44afee0cb526815aecf12dedd8a5aa"},"schema_version":"1.0","source":{"id":"2504.07928","kind":"arxiv","version":1}},"canonical_sha256":"d2f746fc94c3a676e95379a1576d16bb6c9737642b30f093c4a73515b8a6c6b4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d2f746fc94c3a676e95379a1576d16bb6c9737642b30f093c4a73515b8a6c6b4","first_computed_at":"2026-07-05T10:47:22.053940Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:47:22.053940Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Nsffsoip+1t1Q0Ay+Me0JLNyG7cwy8BDEwj6pqaco/GQV5COjyL6A1eaDYM1xZCkqXD1hSVLqG3xC/xD2aC+CQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:47:22.054487Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.07928","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:39423f0ce9757997a18802548b9fa2c2eb65b01254d45bb22bdd469e81b1dbd5","sha256:9de2d26e4910504f26491592e4d681201715af9208b9c4a8797dd07fa4cc4e5f"],"state_sha256":"27a8b9135b2ad38472bc808d51761ec6e114ac2a478faaeb2daf755ed004e5fc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3IRa5Rsuc9ZKMZLO9MKmSTazzXZVUUMoC7OE/gncrtXDdj+byJydubV8RpqALEVQz25hNWZy9WoL+odefz62CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T18:50:20.624504Z","bundle_sha256":"b6ea260d8f010c94540806597b268b620128ec1a0f2fcb2b2947e43212e576f5"}}