{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:P4OVMVJVVUHWT5ZLWZYV74QKTC","short_pith_number":"pith:P4OVMVJV","schema_version":"1.0","canonical_sha256":"7f1d565535ad0f69f72bb6715ff20a98b395aff49e7932c32bae01005ef178a9","source":{"kind":"arxiv","id":"cond-mat/0406069","version":1},"attestation_state":"computed","paper":{"title":"Local Phonon Density of States in an Elastic Substrate","license":"","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Michael R. Geller","submitted_at":"2004-06-03T18:58:04Z","abstract_excerpt":"The local, eigenfunction-weighted acoustic phonon density of states (DOS) tensor is calculated for a model substrate consisting of a semi-infinite isotropic elastic continuum with a stress-free surface. On the surface, the local DOS is proportional to the square of the frequency, as for the three-dimensional Debye model, but with a constant of proportionality that is considerably enhanced compared to the Debye value, a consequence of the Rayleigh surface modes. The local DOS tensor at the surface is also anisotropic, as expected. Inside the substrate the local DOS is both spatially anisotropic"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"cond-mat/0406069","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2004-06-03T18:58:04Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"5bf499d6aa9919e67f94e6ded1c02225f6d61bfe5f0b31aa6e28d6cde1351948","abstract_canon_sha256":"6242c79d675f9342a7714d60ef8f7273fa768b0526738b8aa4cbf7c7f00e08b7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:46:25.122942Z","signature_b64":"xY3nz5CmdkAN56b5uZGuYm+o9q8F2fv/PYD4OqqlnFSz/HRJ2izfYf942aa1ogzwHHN/6eLG6EAUiVMPDkqHDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7f1d565535ad0f69f72bb6715ff20a98b395aff49e7932c32bae01005ef178a9","last_reissued_at":"2026-07-04T16:46:25.122389Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:46:25.122389Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Local Phonon Density of States in an Elastic Substrate","license":"","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Michael R. Geller","submitted_at":"2004-06-03T18:58:04Z","abstract_excerpt":"The local, eigenfunction-weighted acoustic phonon density of states (DOS) tensor is calculated for a model substrate consisting of a semi-infinite isotropic elastic continuum with a stress-free surface. On the surface, the local DOS is proportional to the square of the frequency, as for the three-dimensional Debye model, but with a constant of proportionality that is considerably enhanced compared to the Debye value, a consequence of the Rayleigh surface modes. The local DOS tensor at the surface is also anisotropic, as expected. Inside the substrate the local DOS is both spatially anisotropic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0406069","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/cond-mat/0406069/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0406069","created_at":"2026-07-04T16:46:25.122450+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0406069v1","created_at":"2026-07-04T16:46:25.122450+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0406069","created_at":"2026-07-04T16:46:25.122450+00:00"},{"alias_kind":"pith_short_12","alias_value":"P4OVMVJVVUHW","created_at":"2026-07-04T16:46:25.122450+00:00"},{"alias_kind":"pith_short_16","alias_value":"P4OVMVJVVUHWT5ZL","created_at":"2026-07-04T16:46:25.122450+00:00"},{"alias_kind":"pith_short_8","alias_value":"P4OVMVJV","created_at":"2026-07-04T16:46:25.122450+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/P4OVMVJVVUHWT5ZLWZYV74QKTC","json":"https://pith.science/pith/P4OVMVJVVUHWT5ZLWZYV74QKTC.json","graph_json":"https://pith.science/api/pith-number/P4OVMVJVVUHWT5ZLWZYV74QKTC/graph.json","events_json":"https://pith.science/api/pith-number/P4OVMVJVVUHWT5ZLWZYV74QKTC/events.json","paper":"https://pith.science/paper/P4OVMVJV"},"agent_actions":{"view_html":"https://pith.science/pith/P4OVMVJVVUHWT5ZLWZYV74QKTC","download_json":"https://pith.science/pith/P4OVMVJVVUHWT5ZLWZYV74QKTC.json","view_paper":"https://pith.science/paper/P4OVMVJV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0406069&json=true","fetch_graph":"https://pith.science/api/pith-number/P4OVMVJVVUHWT5ZLWZYV74QKTC/graph.json","fetch_events":"https://pith.science/api/pith-number/P4OVMVJVVUHWT5ZLWZYV74QKTC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/P4OVMVJVVUHWT5ZLWZYV74QKTC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/P4OVMVJVVUHWT5ZLWZYV74QKTC/action/storage_attestation","attest_author":"https://pith.science/pith/P4OVMVJVVUHWT5ZLWZYV74QKTC/action/author_attestation","sign_citation":"https://pith.science/pith/P4OVMVJVVUHWT5ZLWZYV74QKTC/action/citation_signature","submit_replication":"https://pith.science/pith/P4OVMVJVVUHWT5ZLWZYV74QKTC/action/replication_record"}},"created_at":"2026-07-04T16:46:25.122450+00:00","updated_at":"2026-07-04T16:46:25.122450+00:00"}