{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:STNCTZST4IZSGEDD2XK7XKXAWR","short_pith_number":"pith:STNCTZST","canonical_record":{"source":{"id":"1812.09004","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2018-12-21T09:05:33Z","cross_cats_sorted":["cond-mat.other"],"title_canon_sha256":"8ae0b079b2a3e464fec7d46b50948ce8c37bb7db6a54aa8be361b2dcb264140c","abstract_canon_sha256":"11108fa56d50442e72dc7dd441497452eb0d18ed03f89fb0daae2d44529169c6"},"schema_version":"1.0"},"canonical_sha256":"94da29e653e233231063d5d5fbaae0b447d08af894c7c0f11063ddb750151251","source":{"kind":"arxiv","id":"1812.09004","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.09004","created_at":"2026-05-17T23:39:25Z"},{"alias_kind":"arxiv_version","alias_value":"1812.09004v2","created_at":"2026-05-17T23:39:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.09004","created_at":"2026-05-17T23:39:25Z"},{"alias_kind":"pith_short_12","alias_value":"STNCTZST4IZS","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"STNCTZST4IZSGEDD","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"STNCTZST","created_at":"2026-05-18T12:32:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:STNCTZST4IZSGEDD2XK7XKXAWR","target":"record","payload":{"canonical_record":{"source":{"id":"1812.09004","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2018-12-21T09:05:33Z","cross_cats_sorted":["cond-mat.other"],"title_canon_sha256":"8ae0b079b2a3e464fec7d46b50948ce8c37bb7db6a54aa8be361b2dcb264140c","abstract_canon_sha256":"11108fa56d50442e72dc7dd441497452eb0d18ed03f89fb0daae2d44529169c6"},"schema_version":"1.0"},"canonical_sha256":"94da29e653e233231063d5d5fbaae0b447d08af894c7c0f11063ddb750151251","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:39:25.192793Z","signature_b64":"hWOqWKH+N4+lTmHGdIU654jgULcg8DwHwPfCTXk1gnUYh9q+xduXOzU4jH0iTtZLsL1HGnjqb/5oToPU6ERzCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"94da29e653e233231063d5d5fbaae0b447d08af894c7c0f11063ddb750151251","last_reissued_at":"2026-05-17T23:39:25.192389Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:39:25.192389Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1812.09004","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":"2026-05-17T23:39:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZnXieNBHS/vpxpNkjXtMNxHOpUrOZsB6SLCKHMkTqyTSeq17EbkPMXQ4sgFPrQ3eoc4VRpeSQwEXL63iYMLXAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T14:29:58.805454Z"},"content_sha256":"d0e55ea01b7c3d997d33e1e47e1d673011f890b2e70a83e18e94c516fb10fce5","schema_version":"1.0","event_id":"sha256:d0e55ea01b7c3d997d33e1e47e1d673011f890b2e70a83e18e94c516fb10fce5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:STNCTZST4IZSGEDD2XK7XKXAWR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"T-matrix approach to the phonon-mediated Casimir interaction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other"],"primary_cat":"cond-mat.quant-gas","authors_text":"Andrei I. Pavlov, Dmitri V. Efremov, Jeroen van den Brink","submitted_at":"2018-12-21T09:05:33Z","abstract_excerpt":"We develop a theory of the phonon mediated Casimir interaction between two point-like impurities, which is based on the single impurity scattering T-matrix approach. Within this, we show that the Casimir interaction at $T = 0$ falls off as a power law with the distance between the impurities. We find that the power in the weak and in the unitary phonon-impurity scattering limits differs, and we relate the power law to the low-energy properties of the single impurity scattering T-matrix. In addition, we consider the Casimir interaction at finite temperature and show that at finite temperatures "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.09004","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":""},"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":"2026-05-17T23:39:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mHQX9WzyanQuHI2YLaoH8iWOF5qrxLJPHXW4EoWQRhyIF34R++OKXlYSM0w/uOXKpcwWTLMlEuB5shWabnOCDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T14:29:58.806234Z"},"content_sha256":"54ae3bfe7dc0c484dfe5e93fe2469a6bb0e0708edd95b2a4b7ffb7c88d08d419","schema_version":"1.0","event_id":"sha256:54ae3bfe7dc0c484dfe5e93fe2469a6bb0e0708edd95b2a4b7ffb7c88d08d419"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/STNCTZST4IZSGEDD2XK7XKXAWR/bundle.json","state_url":"https://pith.science/pith/STNCTZST4IZSGEDD2XK7XKXAWR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/STNCTZST4IZSGEDD2XK7XKXAWR/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":"2026-05-31T14:29:58Z","links":{"resolver":"https://pith.science/pith/STNCTZST4IZSGEDD2XK7XKXAWR","bundle":"https://pith.science/pith/STNCTZST4IZSGEDD2XK7XKXAWR/bundle.json","state":"https://pith.science/pith/STNCTZST4IZSGEDD2XK7XKXAWR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/STNCTZST4IZSGEDD2XK7XKXAWR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:STNCTZST4IZSGEDD2XK7XKXAWR","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":"11108fa56d50442e72dc7dd441497452eb0d18ed03f89fb0daae2d44529169c6","cross_cats_sorted":["cond-mat.other"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2018-12-21T09:05:33Z","title_canon_sha256":"8ae0b079b2a3e464fec7d46b50948ce8c37bb7db6a54aa8be361b2dcb264140c"},"schema_version":"1.0","source":{"id":"1812.09004","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.09004","created_at":"2026-05-17T23:39:25Z"},{"alias_kind":"arxiv_version","alias_value":"1812.09004v2","created_at":"2026-05-17T23:39:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.09004","created_at":"2026-05-17T23:39:25Z"},{"alias_kind":"pith_short_12","alias_value":"STNCTZST4IZS","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"STNCTZST4IZSGEDD","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"STNCTZST","created_at":"2026-05-18T12:32:53Z"}],"graph_snapshots":[{"event_id":"sha256:54ae3bfe7dc0c484dfe5e93fe2469a6bb0e0708edd95b2a4b7ffb7c88d08d419","target":"graph","created_at":"2026-05-17T23:39:25Z","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"},"paper":{"abstract_excerpt":"We develop a theory of the phonon mediated Casimir interaction between two point-like impurities, which is based on the single impurity scattering T-matrix approach. Within this, we show that the Casimir interaction at $T = 0$ falls off as a power law with the distance between the impurities. We find that the power in the weak and in the unitary phonon-impurity scattering limits differs, and we relate the power law to the low-energy properties of the single impurity scattering T-matrix. In addition, we consider the Casimir interaction at finite temperature and show that at finite temperatures ","authors_text":"Andrei I. Pavlov, Dmitri V. Efremov, Jeroen van den Brink","cross_cats":["cond-mat.other"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2018-12-21T09:05:33Z","title":"T-matrix approach to the phonon-mediated Casimir interaction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.09004","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:d0e55ea01b7c3d997d33e1e47e1d673011f890b2e70a83e18e94c516fb10fce5","target":"record","created_at":"2026-05-17T23:39:25Z","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":"11108fa56d50442e72dc7dd441497452eb0d18ed03f89fb0daae2d44529169c6","cross_cats_sorted":["cond-mat.other"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2018-12-21T09:05:33Z","title_canon_sha256":"8ae0b079b2a3e464fec7d46b50948ce8c37bb7db6a54aa8be361b2dcb264140c"},"schema_version":"1.0","source":{"id":"1812.09004","kind":"arxiv","version":2}},"canonical_sha256":"94da29e653e233231063d5d5fbaae0b447d08af894c7c0f11063ddb750151251","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"94da29e653e233231063d5d5fbaae0b447d08af894c7c0f11063ddb750151251","first_computed_at":"2026-05-17T23:39:25.192389Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:39:25.192389Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hWOqWKH+N4+lTmHGdIU654jgULcg8DwHwPfCTXk1gnUYh9q+xduXOzU4jH0iTtZLsL1HGnjqb/5oToPU6ERzCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:39:25.192793Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.09004","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d0e55ea01b7c3d997d33e1e47e1d673011f890b2e70a83e18e94c516fb10fce5","sha256:54ae3bfe7dc0c484dfe5e93fe2469a6bb0e0708edd95b2a4b7ffb7c88d08d419"],"state_sha256":"801f6b44a5f8728506dddbd1484585992079f6f131a98d62f863e40ebd55c5cb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"167y3tfBIaWNkYp8oqCAdHAsbmPdiDlmhpFZ/Zzs7DiuIDfJaE43zm+f3xq/IFz2YHoM4f7/g7JbTXattLMVDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T14:29:58.811363Z","bundle_sha256":"3e81f5f8afc6ead2196490633b49d427ef8fff422f95f036140992006f9e58b1"}}