{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:JBSKFWGNPV5HMQONIEWMF7VDZG","short_pith_number":"pith:JBSKFWGN","canonical_record":{"source":{"id":"2307.01254","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-07-03T18:00:01Z","cross_cats_sorted":["cond-mat.stat-mech","math.NT"],"title_canon_sha256":"73b91dabbefe7d5f399f136fb6c61f90a4a56b6638881a8c5995dd467b156a21","abstract_canon_sha256":"ac29661a73c0b0095c6ddf29077af70a7c8bf515cae0d40856888be2aa71cc1f"},"schema_version":"1.0"},"canonical_sha256":"4864a2d8cd7d7a7641cd412cc2fea3c9a7edbf3ce50828cdb91a659f24d0f432","source":{"kind":"arxiv","id":"2307.01254","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.01254","created_at":"2026-07-05T08:07:57Z"},{"alias_kind":"arxiv_version","alias_value":"2307.01254v2","created_at":"2026-07-05T08:07:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.01254","created_at":"2026-07-05T08:07:57Z"},{"alias_kind":"pith_short_12","alias_value":"JBSKFWGNPV5H","created_at":"2026-07-05T08:07:57Z"},{"alias_kind":"pith_short_16","alias_value":"JBSKFWGNPV5HMQON","created_at":"2026-07-05T08:07:57Z"},{"alias_kind":"pith_short_8","alias_value":"JBSKFWGN","created_at":"2026-07-05T08:07:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:JBSKFWGNPV5HMQONIEWMF7VDZG","target":"record","payload":{"canonical_record":{"source":{"id":"2307.01254","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-07-03T18:00:01Z","cross_cats_sorted":["cond-mat.stat-mech","math.NT"],"title_canon_sha256":"73b91dabbefe7d5f399f136fb6c61f90a4a56b6638881a8c5995dd467b156a21","abstract_canon_sha256":"ac29661a73c0b0095c6ddf29077af70a7c8bf515cae0d40856888be2aa71cc1f"},"schema_version":"1.0"},"canonical_sha256":"4864a2d8cd7d7a7641cd412cc2fea3c9a7edbf3ce50828cdb91a659f24d0f432","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:07:57.078323Z","signature_b64":"oyKRAt7x5QgIYKMUim7GFG4fTSWqoDNYfzAHhAILJDFwwi7dX9qfWYtNaQ3iXFDO3SoCNYBBYrgdqM/+9syoBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4864a2d8cd7d7a7641cd412cc2fea3c9a7edbf3ce50828cdb91a659f24d0f432","last_reissued_at":"2026-07-05T08:07:57.077807Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:07:57.077807Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2307.01254","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":"2026-07-05T08:07:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"px1zzIVyXIWrqbo42nxpt/zUFX55J/Dk/USoqV9fGmUHWg0DERt+MzM+8e/5aIlNaHmy2uM9XO8OfatS6tRhDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T12:05:24.772352Z"},"content_sha256":"da77e265e033e8f8674ae7bf223a3ebae4b506fed99e6e886e186274dec79cfd","schema_version":"1.0","event_id":"sha256:da77e265e033e8f8674ae7bf223a3ebae4b506fed99e6e886e186274dec79cfd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:JBSKFWGNPV5HMQONIEWMF7VDZG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Riemann zeros as quantized energies of scattering with impurities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.NT"],"primary_cat":"hep-th","authors_text":"Andre LeClair, Giuseppe Mussardo","submitted_at":"2023-07-03T18:00:01Z","abstract_excerpt":"We construct an integrable physical model of a single particle scattering with impurities spread on a circle. The $S$-matrices of the scattering with the impurities are such that the quantized energies of this system, coming from the Bethe Ansatz equations, correspond to the imaginary parts of the non-trivial zeros of the the Riemann $\\zeta(s) $ function along the axis $\\Re ( s )= \\half$ of the complex $s$-plane. A simple and natural generalization of the original scattering problem leads instead to Bethe Ansatz equations whose solutions are the non-trivial zeros of the Dirichlet $L$-functions"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.01254","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/2307.01254/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":"2026-07-05T08:07:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R0/8mcChYrCVYSuAgoZikOaYMxoN5wpgMqoW4rD/juDfZmDyYTNEpOplTLaUkUc/GUVB+iyF8yvTo646uCMUBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T12:05:24.772862Z"},"content_sha256":"7a8eb010f82cfaecd947629754a55f14f34b00611e634c8eeda6d4b39c8aa829","schema_version":"1.0","event_id":"sha256:7a8eb010f82cfaecd947629754a55f14f34b00611e634c8eeda6d4b39c8aa829"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JBSKFWGNPV5HMQONIEWMF7VDZG/bundle.json","state_url":"https://pith.science/pith/JBSKFWGNPV5HMQONIEWMF7VDZG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JBSKFWGNPV5HMQONIEWMF7VDZG/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":"2026-08-23T12:05:24Z","links":{"resolver":"https://pith.science/pith/JBSKFWGNPV5HMQONIEWMF7VDZG","bundle":"https://pith.science/pith/JBSKFWGNPV5HMQONIEWMF7VDZG/bundle.json","state":"https://pith.science/pith/JBSKFWGNPV5HMQONIEWMF7VDZG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JBSKFWGNPV5HMQONIEWMF7VDZG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:JBSKFWGNPV5HMQONIEWMF7VDZG","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":"ac29661a73c0b0095c6ddf29077af70a7c8bf515cae0d40856888be2aa71cc1f","cross_cats_sorted":["cond-mat.stat-mech","math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-07-03T18:00:01Z","title_canon_sha256":"73b91dabbefe7d5f399f136fb6c61f90a4a56b6638881a8c5995dd467b156a21"},"schema_version":"1.0","source":{"id":"2307.01254","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.01254","created_at":"2026-07-05T08:07:57Z"},{"alias_kind":"arxiv_version","alias_value":"2307.01254v2","created_at":"2026-07-05T08:07:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.01254","created_at":"2026-07-05T08:07:57Z"},{"alias_kind":"pith_short_12","alias_value":"JBSKFWGNPV5H","created_at":"2026-07-05T08:07:57Z"},{"alias_kind":"pith_short_16","alias_value":"JBSKFWGNPV5HMQON","created_at":"2026-07-05T08:07:57Z"},{"alias_kind":"pith_short_8","alias_value":"JBSKFWGN","created_at":"2026-07-05T08:07:57Z"}],"graph_snapshots":[{"event_id":"sha256:7a8eb010f82cfaecd947629754a55f14f34b00611e634c8eeda6d4b39c8aa829","target":"graph","created_at":"2026-07-05T08:07:57Z","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/2307.01254/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct an integrable physical model of a single particle scattering with impurities spread on a circle. The $S$-matrices of the scattering with the impurities are such that the quantized energies of this system, coming from the Bethe Ansatz equations, correspond to the imaginary parts of the non-trivial zeros of the the Riemann $\\zeta(s) $ function along the axis $\\Re ( s )= \\half$ of the complex $s$-plane. A simple and natural generalization of the original scattering problem leads instead to Bethe Ansatz equations whose solutions are the non-trivial zeros of the Dirichlet $L$-functions","authors_text":"Andre LeClair, Giuseppe Mussardo","cross_cats":["cond-mat.stat-mech","math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-07-03T18:00:01Z","title":"Riemann zeros as quantized energies of scattering with impurities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.01254","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:da77e265e033e8f8674ae7bf223a3ebae4b506fed99e6e886e186274dec79cfd","target":"record","created_at":"2026-07-05T08:07:57Z","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":"ac29661a73c0b0095c6ddf29077af70a7c8bf515cae0d40856888be2aa71cc1f","cross_cats_sorted":["cond-mat.stat-mech","math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-07-03T18:00:01Z","title_canon_sha256":"73b91dabbefe7d5f399f136fb6c61f90a4a56b6638881a8c5995dd467b156a21"},"schema_version":"1.0","source":{"id":"2307.01254","kind":"arxiv","version":2}},"canonical_sha256":"4864a2d8cd7d7a7641cd412cc2fea3c9a7edbf3ce50828cdb91a659f24d0f432","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4864a2d8cd7d7a7641cd412cc2fea3c9a7edbf3ce50828cdb91a659f24d0f432","first_computed_at":"2026-07-05T08:07:57.077807Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:07:57.077807Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oyKRAt7x5QgIYKMUim7GFG4fTSWqoDNYfzAHhAILJDFwwi7dX9qfWYtNaQ3iXFDO3SoCNYBBYrgdqM/+9syoBA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:07:57.078323Z","signed_message":"canonical_sha256_bytes"},"source_id":"2307.01254","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:da77e265e033e8f8674ae7bf223a3ebae4b506fed99e6e886e186274dec79cfd","sha256:7a8eb010f82cfaecd947629754a55f14f34b00611e634c8eeda6d4b39c8aa829"],"state_sha256":"6f7dc8d93cf97f279900ecf107bcffcb95677fa1d1b1a8ee4e462b36aa4eecbe"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EgQWDvj+qSp/L/qIenxfm62/2GLzZ1Nsfx+ihFvGIM+4j31MHcN2KZCnTCXAvUbNyZUp+3WNymN2uU7rhWfeAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-23T12:05:24.776530Z","bundle_sha256":"9104b44719f7fe11374f279f5cd92792ad2839c2cbdaf54486bb2d043d9bda32"}}