{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:6HK2MZC7P2OLIGDUAMQS6BMZBZ","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":"de7055c99236a1363d8e5a7ee6db88a9583ddc036b69045445abd06082697e09","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-06-20T10:47:40Z","title_canon_sha256":"dcb5e115b2b84fcf38ddf2929cd953eb7e7478dbda0a64f46c075e6bea9de290"},"schema_version":"1.0","source":{"id":"2506.17362","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.17362","created_at":"2026-07-05T12:01:45Z"},{"alias_kind":"arxiv_version","alias_value":"2506.17362v2","created_at":"2026-07-05T12:01:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.17362","created_at":"2026-07-05T12:01:45Z"},{"alias_kind":"pith_short_12","alias_value":"6HK2MZC7P2OL","created_at":"2026-07-05T12:01:45Z"},{"alias_kind":"pith_short_16","alias_value":"6HK2MZC7P2OLIGDU","created_at":"2026-07-05T12:01:45Z"},{"alias_kind":"pith_short_8","alias_value":"6HK2MZC7","created_at":"2026-07-05T12:01:45Z"}],"graph_snapshots":[{"event_id":"sha256:0b14d12eddcf353daba43454e8ea9a3006246b24920f2e7c578ae71de7e0ae53","target":"graph","created_at":"2026-07-05T12:01:45Z","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/2506.17362/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce a covariant canonical quantization for a particle in curved spacetime that tracks operator-ordering ambiguities. Parameterizing spatial and temporal ordering, we derive a Hermitian Hamiltonian with leading quantum-relativistic corrections. In a uniformly accelerated frame, we show the semiclassical heat-capacity approximation misses these effects and then develop a perturbative quantum treatment using Airy-function modes to obtain analytical first- and second-order energy shifts. Including these shifts in the partition function yields nontrivial, ordering-dependent specific-heat c","authors_text":"Kacper D\\k{e}bski, Karol Sajnok","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-06-20T10:47:40Z","title":"Operator Ordering in the Relativistic Quantization: Specific Heat in the Rindler Frame"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.17362","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:aa3894d770a2c991c2f4b631ef7bbbe4ddcaf07f6ec24eec44b058d94e703d6a","target":"record","created_at":"2026-07-05T12:01:45Z","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":"de7055c99236a1363d8e5a7ee6db88a9583ddc036b69045445abd06082697e09","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-06-20T10:47:40Z","title_canon_sha256":"dcb5e115b2b84fcf38ddf2929cd953eb7e7478dbda0a64f46c075e6bea9de290"},"schema_version":"1.0","source":{"id":"2506.17362","kind":"arxiv","version":2}},"canonical_sha256":"f1d5a6645f7e9cb4187403212f05990e4ebc7317d8b2eac9e7964b0e08fedc86","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f1d5a6645f7e9cb4187403212f05990e4ebc7317d8b2eac9e7964b0e08fedc86","first_computed_at":"2026-07-05T12:01:45.682364Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:01:45.682364Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JsuvPq/NYeF9d4CzRDWd9TQ4AVUrOOm7ODXTw7bFCzQ340qyyt1j9ODQoZS+RyYc+Taa9XstApuEjEwmjlRCCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T12:01:45.682849Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.17362","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa3894d770a2c991c2f4b631ef7bbbe4ddcaf07f6ec24eec44b058d94e703d6a","sha256:0b14d12eddcf353daba43454e8ea9a3006246b24920f2e7c578ae71de7e0ae53"],"state_sha256":"47539a1cf8cb5e8700a3574604fc7d4057b3105c0e1bdfc78cca859b99ba79e0"}