{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:IB6NLP2BEFV2NN7YRRJEVMBVF7","short_pith_number":"pith:IB6NLP2B","canonical_record":{"source":{"id":"1407.5112","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-07-18T20:40:03Z","cross_cats_sorted":["cond-mat.other","gr-qc","hep-th","math.MP","quant-ph"],"title_canon_sha256":"d47f19ce7fcf25b578cdbc474576ac6227bdb7c768bf0fb29178ed82f5cdd266","abstract_canon_sha256":"9f6a897240715f578a28bdc7dd1eed6cfb5eff8f78194ae659db30d33cb1714e"},"schema_version":"1.0"},"canonical_sha256":"407cd5bf41216ba6b7f88c524ab0352fc66edf3be9a5345d825712e7e1679bff","source":{"kind":"arxiv","id":"1407.5112","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.5112","created_at":"2026-05-18T01:42:33Z"},{"alias_kind":"arxiv_version","alias_value":"1407.5112v2","created_at":"2026-05-18T01:42:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.5112","created_at":"2026-05-18T01:42:33Z"},{"alias_kind":"pith_short_12","alias_value":"IB6NLP2BEFV2","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"IB6NLP2BEFV2NN7Y","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"IB6NLP2B","created_at":"2026-05-18T12:28:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:IB6NLP2BEFV2NN7YRRJEVMBVF7","target":"record","payload":{"canonical_record":{"source":{"id":"1407.5112","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-07-18T20:40:03Z","cross_cats_sorted":["cond-mat.other","gr-qc","hep-th","math.MP","quant-ph"],"title_canon_sha256":"d47f19ce7fcf25b578cdbc474576ac6227bdb7c768bf0fb29178ed82f5cdd266","abstract_canon_sha256":"9f6a897240715f578a28bdc7dd1eed6cfb5eff8f78194ae659db30d33cb1714e"},"schema_version":"1.0"},"canonical_sha256":"407cd5bf41216ba6b7f88c524ab0352fc66edf3be9a5345d825712e7e1679bff","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:42:33.849766Z","signature_b64":"CONjVwCgOh0lApfnrmS8pTaA5CcKbeyOVAMNkyhspmBiEV0EXcavtBQHlgSmZdsrhAnHy5ZBiFdMM7GXDX+RCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"407cd5bf41216ba6b7f88c524ab0352fc66edf3be9a5345d825712e7e1679bff","last_reissued_at":"2026-05-18T01:42:33.849373Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:42:33.849373Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.5112","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":"2026-05-18T01:42:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tmnm6jbuoYkqs0GSitWgU/rcZX3ntqwCuDcVmnQyofhrZdccmpuHaSLjCzoNZMb/UIfgK/n7UWoT56zbOG4gCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T19:42:06.567902Z"},"content_sha256":"9015d23692cee7078415be4d37ac43c83fe18e3b923a60eb2b4c6c5a5b88efa3","schema_version":"1.0","event_id":"sha256:9015d23692cee7078415be4d37ac43c83fe18e3b923a60eb2b4c6c5a5b88efa3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:IB6NLP2BEFV2NN7YRRJEVMBVF7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Some Subtleties in the Relationships among Heat Kernel Invariants, Eigenvalue Distributions, and Quantum Vacuum Energy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other","gr-qc","hep-th","math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"S. A. Fulling, Y. Yang","submitted_at":"2014-07-18T20:40:03Z","abstract_excerpt":"A common tool in Casimir physics (and many other areas) is the asymptotic (high-frequency) expansion of eigenvalue densities, employed as either input or output of calculations of the asymptotic behavior of various Green functions. Here we clarify some fine points and potentially confusing aspects of the subject. In particular, we show how recent observations of Kolomeisky et al. [Phys. Rev. A 87 (2013) 042519] fit into the established framework of the distributional asymptotics of spectral functions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.5112","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":"2026-05-18T01:42:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IZGKhKksqFdbc9TymTPjG3wnWs6w7YwaxopAJMj21Ob7A2mNPim/kUppYPs20/tCv378qgsatjomhwjbvUc2Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T19:42:06.568543Z"},"content_sha256":"cc465353864aa04a5383fe71d37e06d84bfd5cb842e74b69181b37bf64894eab","schema_version":"1.0","event_id":"sha256:cc465353864aa04a5383fe71d37e06d84bfd5cb842e74b69181b37bf64894eab"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IB6NLP2BEFV2NN7YRRJEVMBVF7/bundle.json","state_url":"https://pith.science/pith/IB6NLP2BEFV2NN7YRRJEVMBVF7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IB6NLP2BEFV2NN7YRRJEVMBVF7/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":"2026-06-05T19:42:06Z","links":{"resolver":"https://pith.science/pith/IB6NLP2BEFV2NN7YRRJEVMBVF7","bundle":"https://pith.science/pith/IB6NLP2BEFV2NN7YRRJEVMBVF7/bundle.json","state":"https://pith.science/pith/IB6NLP2BEFV2NN7YRRJEVMBVF7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IB6NLP2BEFV2NN7YRRJEVMBVF7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:IB6NLP2BEFV2NN7YRRJEVMBVF7","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":"9f6a897240715f578a28bdc7dd1eed6cfb5eff8f78194ae659db30d33cb1714e","cross_cats_sorted":["cond-mat.other","gr-qc","hep-th","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-07-18T20:40:03Z","title_canon_sha256":"d47f19ce7fcf25b578cdbc474576ac6227bdb7c768bf0fb29178ed82f5cdd266"},"schema_version":"1.0","source":{"id":"1407.5112","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.5112","created_at":"2026-05-18T01:42:33Z"},{"alias_kind":"arxiv_version","alias_value":"1407.5112v2","created_at":"2026-05-18T01:42:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.5112","created_at":"2026-05-18T01:42:33Z"},{"alias_kind":"pith_short_12","alias_value":"IB6NLP2BEFV2","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"IB6NLP2BEFV2NN7Y","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"IB6NLP2B","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:cc465353864aa04a5383fe71d37e06d84bfd5cb842e74b69181b37bf64894eab","target":"graph","created_at":"2026-05-18T01:42:33Z","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":"A common tool in Casimir physics (and many other areas) is the asymptotic (high-frequency) expansion of eigenvalue densities, employed as either input or output of calculations of the asymptotic behavior of various Green functions. Here we clarify some fine points and potentially confusing aspects of the subject. In particular, we show how recent observations of Kolomeisky et al. [Phys. Rev. A 87 (2013) 042519] fit into the established framework of the distributional asymptotics of spectral functions.","authors_text":"S. A. Fulling, Y. Yang","cross_cats":["cond-mat.other","gr-qc","hep-th","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-07-18T20:40:03Z","title":"Some Subtleties in the Relationships among Heat Kernel Invariants, Eigenvalue Distributions, and Quantum Vacuum Energy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.5112","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":"sha256:9015d23692cee7078415be4d37ac43c83fe18e3b923a60eb2b4c6c5a5b88efa3","target":"record","created_at":"2026-05-18T01:42:33Z","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":"9f6a897240715f578a28bdc7dd1eed6cfb5eff8f78194ae659db30d33cb1714e","cross_cats_sorted":["cond-mat.other","gr-qc","hep-th","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-07-18T20:40:03Z","title_canon_sha256":"d47f19ce7fcf25b578cdbc474576ac6227bdb7c768bf0fb29178ed82f5cdd266"},"schema_version":"1.0","source":{"id":"1407.5112","kind":"arxiv","version":2}},"canonical_sha256":"407cd5bf41216ba6b7f88c524ab0352fc66edf3be9a5345d825712e7e1679bff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"407cd5bf41216ba6b7f88c524ab0352fc66edf3be9a5345d825712e7e1679bff","first_computed_at":"2026-05-18T01:42:33.849373Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:42:33.849373Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CONjVwCgOh0lApfnrmS8pTaA5CcKbeyOVAMNkyhspmBiEV0EXcavtBQHlgSmZdsrhAnHy5ZBiFdMM7GXDX+RCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:42:33.849766Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.5112","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9015d23692cee7078415be4d37ac43c83fe18e3b923a60eb2b4c6c5a5b88efa3","sha256:cc465353864aa04a5383fe71d37e06d84bfd5cb842e74b69181b37bf64894eab"],"state_sha256":"204d5ed10552649b0ed5210e0390bfd6e2852554dba607150f354e8fdca2a6f0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O+zdWXiAOKpOCl72kRnG2uYMZ3qDGjdVwDWUNOWx201NRL5YA5rEBc4LNdJ0MW8lAGN/AJRau4/PV+6l3bsyBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T19:42:06.573737Z","bundle_sha256":"70512452843c0d9aae2878eff15d90d1baef2c6f9d6603a95d281ffbc764bde2"}}