{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:PKZ34HXWUUDJ6Q7GPIG7PE6PA2","short_pith_number":"pith:PKZ34HXW","canonical_record":{"source":{"id":"2501.05397","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-01-09T17:44:40Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"a949332fed4ab40fe1ffadd9fb560fabb57ebb9db5dd3c015e358397662afa57","abstract_canon_sha256":"53caa025d007afd6aba2bed139d94d86cd7137cd20a6d4ab01e7e744ae0bec5a"},"schema_version":"1.0"},"canonical_sha256":"7ab3be1ef6a5069f43e67a0df793cf069f6f05af9eec8dbdecf4dcddccf3ec22","source":{"kind":"arxiv","id":"2501.05397","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.05397","created_at":"2026-07-05T11:15:41Z"},{"alias_kind":"arxiv_version","alias_value":"2501.05397v3","created_at":"2026-07-05T11:15:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.05397","created_at":"2026-07-05T11:15:41Z"},{"alias_kind":"pith_short_12","alias_value":"PKZ34HXWUUDJ","created_at":"2026-07-05T11:15:41Z"},{"alias_kind":"pith_short_16","alias_value":"PKZ34HXWUUDJ6Q7G","created_at":"2026-07-05T11:15:41Z"},{"alias_kind":"pith_short_8","alias_value":"PKZ34HXW","created_at":"2026-07-05T11:15:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:PKZ34HXWUUDJ6Q7GPIG7PE6PA2","target":"record","payload":{"canonical_record":{"source":{"id":"2501.05397","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-01-09T17:44:40Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"a949332fed4ab40fe1ffadd9fb560fabb57ebb9db5dd3c015e358397662afa57","abstract_canon_sha256":"53caa025d007afd6aba2bed139d94d86cd7137cd20a6d4ab01e7e744ae0bec5a"},"schema_version":"1.0"},"canonical_sha256":"7ab3be1ef6a5069f43e67a0df793cf069f6f05af9eec8dbdecf4dcddccf3ec22","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:15:41.612406Z","signature_b64":"XqfJ8Pu+jKU81u1cL7Q3wXpU6T1UYAzxetjxOgQtJCd8fdbx3V/YFinDTXe3hWFlJ9+tv9tDLA9rGgYUMJ7QDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7ab3be1ef6a5069f43e67a0df793cf069f6f05af9eec8dbdecf4dcddccf3ec22","last_reissued_at":"2026-07-05T11:15:41.611904Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:15:41.611904Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2501.05397","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":"2026-07-05T11:15:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8J6hfwjv77cENr80eiYIOfdreP336VU4uMKmy37dUShYzMnL/A+d6h1DFVpZBSNJWGLRKFbLzc1F3qyJ/2pNAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T12:40:05.344505Z"},"content_sha256":"78471fa073df92d23e7cc5d199a470d83c09ce56dd711526143f2b3f85b7b35c","schema_version":"1.0","event_id":"sha256:78471fa073df92d23e7cc5d199a470d83c09ce56dd711526143f2b3f85b7b35c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:PKZ34HXWUUDJ6Q7GPIG7PE6PA2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Entropy flow in a parametric amplifier","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"quant-ph","authors_text":"Sergei Khlebnikov","submitted_at":"2025-01-09T17:44:40Z","abstract_excerpt":"Computations of entropy in thermodynamics rely on discreteness of the spectra of the subsystems. We argue that, for cases with continuous spectra (typically, radiation), there is a useful definition of entropy flow based on discretizing the signal into Gabor's \"atoms,\" say, by means of a windowed Fourier transform. In particular, applying this method to a parametric amplifier (paramp) driven by a classical pump and coupled to a zero-temperature Markovian bath, we find that the output entropy flux vanishes at large times, even though the energy and photon number fluxes remain nonzero. This is c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.05397","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2501.05397/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:15:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s73Cg5ugPUuKgbSExlhr/Uryv9qj85zAR6eSINPWylmPUqmjMMdqt/Lft9Fw5f6NSZEPTSvHEC8pdudyyOTyBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T12:40:05.345587Z"},"content_sha256":"a36e9b6c0b20b0117ee6e4390ba4fe31c6374a236afa9f0b8fae44ee2adae537","schema_version":"1.0","event_id":"sha256:a36e9b6c0b20b0117ee6e4390ba4fe31c6374a236afa9f0b8fae44ee2adae537"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PKZ34HXWUUDJ6Q7GPIG7PE6PA2/bundle.json","state_url":"https://pith.science/pith/PKZ34HXWUUDJ6Q7GPIG7PE6PA2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PKZ34HXWUUDJ6Q7GPIG7PE6PA2/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":"2026-08-11T12:40:05Z","links":{"resolver":"https://pith.science/pith/PKZ34HXWUUDJ6Q7GPIG7PE6PA2","bundle":"https://pith.science/pith/PKZ34HXWUUDJ6Q7GPIG7PE6PA2/bundle.json","state":"https://pith.science/pith/PKZ34HXWUUDJ6Q7GPIG7PE6PA2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PKZ34HXWUUDJ6Q7GPIG7PE6PA2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:PKZ34HXWUUDJ6Q7GPIG7PE6PA2","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":"53caa025d007afd6aba2bed139d94d86cd7137cd20a6d4ab01e7e744ae0bec5a","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-01-09T17:44:40Z","title_canon_sha256":"a949332fed4ab40fe1ffadd9fb560fabb57ebb9db5dd3c015e358397662afa57"},"schema_version":"1.0","source":{"id":"2501.05397","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.05397","created_at":"2026-07-05T11:15:41Z"},{"alias_kind":"arxiv_version","alias_value":"2501.05397v3","created_at":"2026-07-05T11:15:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.05397","created_at":"2026-07-05T11:15:41Z"},{"alias_kind":"pith_short_12","alias_value":"PKZ34HXWUUDJ","created_at":"2026-07-05T11:15:41Z"},{"alias_kind":"pith_short_16","alias_value":"PKZ34HXWUUDJ6Q7G","created_at":"2026-07-05T11:15:41Z"},{"alias_kind":"pith_short_8","alias_value":"PKZ34HXW","created_at":"2026-07-05T11:15:41Z"}],"graph_snapshots":[{"event_id":"sha256:a36e9b6c0b20b0117ee6e4390ba4fe31c6374a236afa9f0b8fae44ee2adae537","target":"graph","created_at":"2026-07-05T11:15:41Z","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/2501.05397/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Computations of entropy in thermodynamics rely on discreteness of the spectra of the subsystems. We argue that, for cases with continuous spectra (typically, radiation), there is a useful definition of entropy flow based on discretizing the signal into Gabor's \"atoms,\" say, by means of a windowed Fourier transform. In particular, applying this method to a parametric amplifier (paramp) driven by a classical pump and coupled to a zero-temperature Markovian bath, we find that the output entropy flux vanishes at large times, even though the energy and photon number fluxes remain nonzero. This is c","authors_text":"Sergei Khlebnikov","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-01-09T17:44:40Z","title":"Entropy flow in a parametric amplifier"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.05397","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":"sha256:78471fa073df92d23e7cc5d199a470d83c09ce56dd711526143f2b3f85b7b35c","target":"record","created_at":"2026-07-05T11:15:41Z","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":"53caa025d007afd6aba2bed139d94d86cd7137cd20a6d4ab01e7e744ae0bec5a","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-01-09T17:44:40Z","title_canon_sha256":"a949332fed4ab40fe1ffadd9fb560fabb57ebb9db5dd3c015e358397662afa57"},"schema_version":"1.0","source":{"id":"2501.05397","kind":"arxiv","version":3}},"canonical_sha256":"7ab3be1ef6a5069f43e67a0df793cf069f6f05af9eec8dbdecf4dcddccf3ec22","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7ab3be1ef6a5069f43e67a0df793cf069f6f05af9eec8dbdecf4dcddccf3ec22","first_computed_at":"2026-07-05T11:15:41.611904Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:15:41.611904Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XqfJ8Pu+jKU81u1cL7Q3wXpU6T1UYAzxetjxOgQtJCd8fdbx3V/YFinDTXe3hWFlJ9+tv9tDLA9rGgYUMJ7QDw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:15:41.612406Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.05397","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:78471fa073df92d23e7cc5d199a470d83c09ce56dd711526143f2b3f85b7b35c","sha256:a36e9b6c0b20b0117ee6e4390ba4fe31c6374a236afa9f0b8fae44ee2adae537"],"state_sha256":"ab1c5461c80b3323b61527e794c5facb09e547e68fc39c0ed95a5db91d1ffe14"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BusNq0f8wSd5mG1Z41On6UTzRAcagTAUeh/V/J9wcZCVvnOPIhH1uFG+m8gy5x1LYnTYB7I3s379Sfs4Fi8QDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T12:40:05.352445Z","bundle_sha256":"d3b7685c6a9ff4e5e6c52419699bace51bc6f07304e766a5253f3a77a11896f2"}}