{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:JBPBCNIJOLHJH666HSWAHTDMT6","short_pith_number":"pith:JBPBCNIJ","canonical_record":{"source":{"id":"1212.0213","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-12-02T14:57:38Z","cross_cats_sorted":["cond-mat.other"],"title_canon_sha256":"4dc38e41d56a13414e4b5f426184ee8d00c5d45d54e6cffa8f68e5ec065644c5","abstract_canon_sha256":"bdc3f2259155679e3e2d5882732ce6a80758227768818afd6776ed66b34a23c5"},"schema_version":"1.0"},"canonical_sha256":"485e11350972ce93fbde3cac03cc6c9fa42d179fd366f4a3e5a9d005fb371fbc","source":{"kind":"arxiv","id":"1212.0213","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.0213","created_at":"2026-05-18T02:47:51Z"},{"alias_kind":"arxiv_version","alias_value":"1212.0213v3","created_at":"2026-05-18T02:47:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.0213","created_at":"2026-05-18T02:47:51Z"},{"alias_kind":"pith_short_12","alias_value":"JBPBCNIJOLHJ","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JBPBCNIJOLHJH666","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JBPBCNIJ","created_at":"2026-05-18T12:27:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:JBPBCNIJOLHJH666HSWAHTDMT6","target":"record","payload":{"canonical_record":{"source":{"id":"1212.0213","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-12-02T14:57:38Z","cross_cats_sorted":["cond-mat.other"],"title_canon_sha256":"4dc38e41d56a13414e4b5f426184ee8d00c5d45d54e6cffa8f68e5ec065644c5","abstract_canon_sha256":"bdc3f2259155679e3e2d5882732ce6a80758227768818afd6776ed66b34a23c5"},"schema_version":"1.0"},"canonical_sha256":"485e11350972ce93fbde3cac03cc6c9fa42d179fd366f4a3e5a9d005fb371fbc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:47:51.083785Z","signature_b64":"SPiScKvMlLrFFd81CB84OvUqAi+3YTRGB02ga7kyyWtDpvXTFgS86R6b32gd/rrr4jAKNTfmGlQmVxexYYL6Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"485e11350972ce93fbde3cac03cc6c9fa42d179fd366f4a3e5a9d005fb371fbc","last_reissued_at":"2026-05-18T02:47:51.083292Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:47:51.083292Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.0213","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:47:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eGGEHx++Ox3j7E3unaCC41fTppFRrY5zgXPdzyurt6HLU/5hqr19wLwSchV++mk1GoF9P0A32NK89FpJwD2YAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:35:30.563533Z"},"content_sha256":"1a4939f51a448d01c4ebae4fa11143a4b093dcd2080575839428df8cf2fb6b03","schema_version":"1.0","event_id":"sha256:1a4939f51a448d01c4ebae4fa11143a4b093dcd2080575839428df8cf2fb6b03"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:JBPBCNIJOLHJH666HSWAHTDMT6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Low temperature expansion in the Lifshitz formula","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other"],"primary_cat":"quant-ph","authors_text":"M. Bordag","submitted_at":"2012-12-02T14:57:38Z","abstract_excerpt":"The low temperature expansion of the free energy in a Casimir effect setup is considered in detail. The starting point is the Lifshitz formula in Matsubara representation and the basic method is its reformulation using the Abel-Plana formula making full use of the analytic properties. This provides a unified description of specific models. We re-derive the known results and, in a number of cases, we are able to go beyond. We also discuss the cases with dissipation. It is an aim of the paper to give a coherent exposition of the topic. The paper includes the derivations and should provide a self"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.0213","kind":"arxiv","version":3},"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":"2026-05-18T02:47:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+y30rUCpKKWNH3IHF+1DEyc/m85bw8qNB9ve7bZbxArU08NGCiRRWVvKJvZ7nrTkDsnzrfY/pc6U/rWbPwcOCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:35:30.564212Z"},"content_sha256":"bb95afd61d87bb57d25793fd33bd1a53712c288b644437ffa79499e1d8c50562","schema_version":"1.0","event_id":"sha256:bb95afd61d87bb57d25793fd33bd1a53712c288b644437ffa79499e1d8c50562"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JBPBCNIJOLHJH666HSWAHTDMT6/bundle.json","state_url":"https://pith.science/pith/JBPBCNIJOLHJH666HSWAHTDMT6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JBPBCNIJOLHJH666HSWAHTDMT6/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":"2026-05-25T19:35:30Z","links":{"resolver":"https://pith.science/pith/JBPBCNIJOLHJH666HSWAHTDMT6","bundle":"https://pith.science/pith/JBPBCNIJOLHJH666HSWAHTDMT6/bundle.json","state":"https://pith.science/pith/JBPBCNIJOLHJH666HSWAHTDMT6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JBPBCNIJOLHJH666HSWAHTDMT6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:JBPBCNIJOLHJH666HSWAHTDMT6","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":"bdc3f2259155679e3e2d5882732ce6a80758227768818afd6776ed66b34a23c5","cross_cats_sorted":["cond-mat.other"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-12-02T14:57:38Z","title_canon_sha256":"4dc38e41d56a13414e4b5f426184ee8d00c5d45d54e6cffa8f68e5ec065644c5"},"schema_version":"1.0","source":{"id":"1212.0213","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.0213","created_at":"2026-05-18T02:47:51Z"},{"alias_kind":"arxiv_version","alias_value":"1212.0213v3","created_at":"2026-05-18T02:47:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.0213","created_at":"2026-05-18T02:47:51Z"},{"alias_kind":"pith_short_12","alias_value":"JBPBCNIJOLHJ","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JBPBCNIJOLHJH666","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JBPBCNIJ","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:bb95afd61d87bb57d25793fd33bd1a53712c288b644437ffa79499e1d8c50562","target":"graph","created_at":"2026-05-18T02:47:51Z","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":"The low temperature expansion of the free energy in a Casimir effect setup is considered in detail. The starting point is the Lifshitz formula in Matsubara representation and the basic method is its reformulation using the Abel-Plana formula making full use of the analytic properties. This provides a unified description of specific models. We re-derive the known results and, in a number of cases, we are able to go beyond. We also discuss the cases with dissipation. It is an aim of the paper to give a coherent exposition of the topic. The paper includes the derivations and should provide a self","authors_text":"M. Bordag","cross_cats":["cond-mat.other"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-12-02T14:57:38Z","title":"Low temperature expansion in the Lifshitz formula"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.0213","kind":"arxiv","version":3},"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":"sha256:1a4939f51a448d01c4ebae4fa11143a4b093dcd2080575839428df8cf2fb6b03","target":"record","created_at":"2026-05-18T02:47:51Z","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":"bdc3f2259155679e3e2d5882732ce6a80758227768818afd6776ed66b34a23c5","cross_cats_sorted":["cond-mat.other"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-12-02T14:57:38Z","title_canon_sha256":"4dc38e41d56a13414e4b5f426184ee8d00c5d45d54e6cffa8f68e5ec065644c5"},"schema_version":"1.0","source":{"id":"1212.0213","kind":"arxiv","version":3}},"canonical_sha256":"485e11350972ce93fbde3cac03cc6c9fa42d179fd366f4a3e5a9d005fb371fbc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"485e11350972ce93fbde3cac03cc6c9fa42d179fd366f4a3e5a9d005fb371fbc","first_computed_at":"2026-05-18T02:47:51.083292Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:47:51.083292Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SPiScKvMlLrFFd81CB84OvUqAi+3YTRGB02ga7kyyWtDpvXTFgS86R6b32gd/rrr4jAKNTfmGlQmVxexYYL6Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:47:51.083785Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.0213","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1a4939f51a448d01c4ebae4fa11143a4b093dcd2080575839428df8cf2fb6b03","sha256:bb95afd61d87bb57d25793fd33bd1a53712c288b644437ffa79499e1d8c50562"],"state_sha256":"6706bd16a2d3de6bfd94fd02b1832667fa923eb7aefcfdb0a41aa49c43fa0605"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yPTpg7VuVzt2DLeL1YEOOczFb8jZ1HkGsRaNyb1ljq4XDjculgfMdC8dgp9ewN9nMo/bozcPRWSSMvrtbzP7AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T19:35:30.567926Z","bundle_sha256":"8f0bd63f82df56b68118f9b980cdf1ff1f7d7ec83014d2a786ee9e7c22ccaa7a"}}