{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:3RNCQH4EE33ETUKOLR2QYNO4CV","short_pith_number":"pith:3RNCQH4E","canonical_record":{"source":{"id":"2607.24933","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-07-27T18:00:06Z","cross_cats_sorted":["hep-ex"],"title_canon_sha256":"5df8f11fef71d99f043a9b24235d412bb2849ccf2239ede205de8724a43cef4a","abstract_canon_sha256":"66b77a21abf429dad179bc018bde31b8fd3684481d1da9ab2184fdfa0ef602f7"},"schema_version":"1.0"},"canonical_sha256":"dc5a281f8426f649d14e5c750c35dc15573a395b289535ff7f7767d2d942fe14","source":{"kind":"arxiv","id":"2607.24933","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.24933","created_at":"2026-07-29T00:24:52Z"},{"alias_kind":"arxiv_version","alias_value":"2607.24933v1","created_at":"2026-07-29T00:24:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.24933","created_at":"2026-07-29T00:24:52Z"},{"alias_kind":"pith_short_12","alias_value":"3RNCQH4EE33E","created_at":"2026-07-29T00:24:52Z"},{"alias_kind":"pith_short_16","alias_value":"3RNCQH4EE33ETUKO","created_at":"2026-07-29T00:24:52Z"},{"alias_kind":"pith_short_8","alias_value":"3RNCQH4E","created_at":"2026-07-29T00:24:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:3RNCQH4EE33ETUKOLR2QYNO4CV","target":"record","payload":{"canonical_record":{"source":{"id":"2607.24933","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-07-27T18:00:06Z","cross_cats_sorted":["hep-ex"],"title_canon_sha256":"5df8f11fef71d99f043a9b24235d412bb2849ccf2239ede205de8724a43cef4a","abstract_canon_sha256":"66b77a21abf429dad179bc018bde31b8fd3684481d1da9ab2184fdfa0ef602f7"},"schema_version":"1.0"},"canonical_sha256":"dc5a281f8426f649d14e5c750c35dc15573a395b289535ff7f7767d2d942fe14","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-29T00:24:52.647086Z","signature_b64":"zwiAo4JhIHyFFfQl5dmtUFsm8pj5fm0G9tlqrsvmPUlI2FWLOHo/XNPikmipfdzyZRTIrEkD47vLLo96JgA4BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dc5a281f8426f649d14e5c750c35dc15573a395b289535ff7f7767d2d942fe14","last_reissued_at":"2026-07-29T00:24:52.646167Z","signature_status":"signed_v1","first_computed_at":"2026-07-29T00:24:52.646167Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.24933","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":"2026-07-29T00:24:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zvyOl0UREaetJeQhbJnmV70Kxg2VFAqFCj6+ZwjJPEybpOLazs1hVBdm+IWs7uLCr7yW/t8Ih5gGfCGoKyThCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T03:32:33.132068Z"},"content_sha256":"c06fd00199a692d12f447d83541a1521b0ab7da066df229fef3c6018bec12339","schema_version":"1.0","event_id":"sha256:c06fd00199a692d12f447d83541a1521b0ab7da066df229fef3c6018bec12339"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:3RNCQH4EE33ETUKOLR2QYNO4CV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Coherence from interference: a solvable model of sub-GeV dark matter-nucleus scattering","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-ex"],"primary_cat":"hep-ph","authors_text":"Lynn Lin, Momei Fang, Tongyan Lin","submitted_at":"2026-07-27T18:00:06Z","abstract_excerpt":"How do dark matter-nucleus interactions transition from the regimes of coherent scattering, where single phonons are produced, to that of individual nuclear recoils? Answering this question relies on understanding multiphonon excitations. Multiphonons are important for interpreting low-threshold direct detection experiments, yet are computationally prohibitive to compute. In this paper, we employ a 1D $N$-site crystal lattice model where dark matter scattering can be computed exactly. We show that the only difference between coherent and incoherent scattering is that conservation of crystal mo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.24933","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/2607.24933/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":"2026-07-29T00:24:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N0TUZJAulYAjfZ16UFpFmk5QFelv0jc2+y/yv0qAUadofJ+/n4JH8oh9jUU+oFxxw+dmVeGqBhp9nwD1xHS4BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T03:32:33.132591Z"},"content_sha256":"3954856ce468b5ffa2d531a1d94f466eda64bb2e1e884c35573c6ed14bf737cc","schema_version":"1.0","event_id":"sha256:3954856ce468b5ffa2d531a1d94f466eda64bb2e1e884c35573c6ed14bf737cc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3RNCQH4EE33ETUKOLR2QYNO4CV/bundle.json","state_url":"https://pith.science/pith/3RNCQH4EE33ETUKOLR2QYNO4CV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3RNCQH4EE33ETUKOLR2QYNO4CV/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":"2026-08-04T03:32:33Z","links":{"resolver":"https://pith.science/pith/3RNCQH4EE33ETUKOLR2QYNO4CV","bundle":"https://pith.science/pith/3RNCQH4EE33ETUKOLR2QYNO4CV/bundle.json","state":"https://pith.science/pith/3RNCQH4EE33ETUKOLR2QYNO4CV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3RNCQH4EE33ETUKOLR2QYNO4CV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:3RNCQH4EE33ETUKOLR2QYNO4CV","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":"66b77a21abf429dad179bc018bde31b8fd3684481d1da9ab2184fdfa0ef602f7","cross_cats_sorted":["hep-ex"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-07-27T18:00:06Z","title_canon_sha256":"5df8f11fef71d99f043a9b24235d412bb2849ccf2239ede205de8724a43cef4a"},"schema_version":"1.0","source":{"id":"2607.24933","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.24933","created_at":"2026-07-29T00:24:52Z"},{"alias_kind":"arxiv_version","alias_value":"2607.24933v1","created_at":"2026-07-29T00:24:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.24933","created_at":"2026-07-29T00:24:52Z"},{"alias_kind":"pith_short_12","alias_value":"3RNCQH4EE33E","created_at":"2026-07-29T00:24:52Z"},{"alias_kind":"pith_short_16","alias_value":"3RNCQH4EE33ETUKO","created_at":"2026-07-29T00:24:52Z"},{"alias_kind":"pith_short_8","alias_value":"3RNCQH4E","created_at":"2026-07-29T00:24:52Z"}],"graph_snapshots":[{"event_id":"sha256:3954856ce468b5ffa2d531a1d94f466eda64bb2e1e884c35573c6ed14bf737cc","target":"graph","created_at":"2026-07-29T00:24:52Z","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/2607.24933/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"How do dark matter-nucleus interactions transition from the regimes of coherent scattering, where single phonons are produced, to that of individual nuclear recoils? Answering this question relies on understanding multiphonon excitations. Multiphonons are important for interpreting low-threshold direct detection experiments, yet are computationally prohibitive to compute. In this paper, we employ a 1D $N$-site crystal lattice model where dark matter scattering can be computed exactly. We show that the only difference between coherent and incoherent scattering is that conservation of crystal mo","authors_text":"Lynn Lin, Momei Fang, Tongyan Lin","cross_cats":["hep-ex"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-07-27T18:00:06Z","title":"Coherence from interference: a solvable model of sub-GeV dark matter-nucleus scattering"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.24933","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:c06fd00199a692d12f447d83541a1521b0ab7da066df229fef3c6018bec12339","target":"record","created_at":"2026-07-29T00:24:52Z","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":"66b77a21abf429dad179bc018bde31b8fd3684481d1da9ab2184fdfa0ef602f7","cross_cats_sorted":["hep-ex"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-07-27T18:00:06Z","title_canon_sha256":"5df8f11fef71d99f043a9b24235d412bb2849ccf2239ede205de8724a43cef4a"},"schema_version":"1.0","source":{"id":"2607.24933","kind":"arxiv","version":1}},"canonical_sha256":"dc5a281f8426f649d14e5c750c35dc15573a395b289535ff7f7767d2d942fe14","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dc5a281f8426f649d14e5c750c35dc15573a395b289535ff7f7767d2d942fe14","first_computed_at":"2026-07-29T00:24:52.646167Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-29T00:24:52.646167Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zwiAo4JhIHyFFfQl5dmtUFsm8pj5fm0G9tlqrsvmPUlI2FWLOHo/XNPikmipfdzyZRTIrEkD47vLLo96JgA4BQ==","signature_status":"signed_v1","signed_at":"2026-07-29T00:24:52.647086Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.24933","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c06fd00199a692d12f447d83541a1521b0ab7da066df229fef3c6018bec12339","sha256:3954856ce468b5ffa2d531a1d94f466eda64bb2e1e884c35573c6ed14bf737cc"],"state_sha256":"024e4be21bafb1979def9197ff4feffbe9a6d1abbb0fe1c424ef9d0d96b03519"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gpsGA7dQ+YlrhYraWuZCitPjgnYXNMniwZKOEhcOnIpmjdHD4ya+Nf9qqCmF5BMewdqlaKPcnD03Wz9WsXWQAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T03:32:33.136464Z","bundle_sha256":"9bb4188de55539365a2820f0e9ecb13675bfd00cdde2af2a9d4863571faf469e"}}