{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:HVH2ZEBVKLZ3TNCXKR7IE6VW6S","short_pith_number":"pith:HVH2ZEBV","canonical_record":{"source":{"id":"quant-ph/0610057","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2006-10-09T11:36:16Z","cross_cats_sorted":[],"title_canon_sha256":"2cc6ded93c632303ac9fbc0c6cc72f566f745ec4c9bdef26e9f3950cb01427d1","abstract_canon_sha256":"a5c848148e7910417a95ec93e83f5cb52aa180b897101a0e15f63ab34dda1cd9"},"schema_version":"1.0"},"canonical_sha256":"3d4fac903552f3b9b457547e827ab6f4b0c5c9128e2602d7bf784b862cd13581","source":{"kind":"arxiv","id":"quant-ph/0610057","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0610057","created_at":"2026-05-18T01:37:54Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0610057v2","created_at":"2026-05-18T01:37:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0610057","created_at":"2026-05-18T01:37:54Z"},{"alias_kind":"pith_short_12","alias_value":"HVH2ZEBVKLZ3","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"HVH2ZEBVKLZ3TNCX","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"HVH2ZEBV","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:HVH2ZEBVKLZ3TNCXKR7IE6VW6S","target":"record","payload":{"canonical_record":{"source":{"id":"quant-ph/0610057","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2006-10-09T11:36:16Z","cross_cats_sorted":[],"title_canon_sha256":"2cc6ded93c632303ac9fbc0c6cc72f566f745ec4c9bdef26e9f3950cb01427d1","abstract_canon_sha256":"a5c848148e7910417a95ec93e83f5cb52aa180b897101a0e15f63ab34dda1cd9"},"schema_version":"1.0"},"canonical_sha256":"3d4fac903552f3b9b457547e827ab6f4b0c5c9128e2602d7bf784b862cd13581","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:37:54.097932Z","signature_b64":"l8Kj31nvgwYVFyhLrZqX5ZFLuqWJR4HAFxX7CtmjLDUKR0n0jxI3zZkvicuot1yTOp9khHTKSHVgdAlHPo3aBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3d4fac903552f3b9b457547e827ab6f4b0c5c9128e2602d7bf784b862cd13581","last_reissued_at":"2026-05-18T01:37:54.097231Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:37:54.097231Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"quant-ph/0610057","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":"2026-05-18T01:37:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HEa/qia1AWjJgvIWXZhvr2gsynt8Pl+XHMbrlUn4Yd621+7Xep2PWeVNxYfj+l7Ag+bf85WxViUg3u1eNewRAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T10:44:07.401082Z"},"content_sha256":"988f411c178e7771e644517d9a37d8c32ff94bd77263eb7695ef6c269877d727","schema_version":"1.0","event_id":"sha256:988f411c178e7771e644517d9a37d8c32ff94bd77263eb7695ef6c269877d727"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:HVH2ZEBVKLZ3TNCXKR7IE6VW6S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Hatsopoulos-Gyftopoulos resolution of the Schroedinger-Park paradox about the concept of \"state\" in quantum statistical mechanics","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Gian Paolo Beretta","submitted_at":"2006-10-09T11:36:16Z","abstract_excerpt":"A seldom recognized fundamental difficulty undermines the concept of individual ``state'' in the present formulations of quantum statistical mechanics (and in its quantum information theory interpretation as well). The difficulty is an unavoidable consequence of an almost forgotten corollary proved by E. Schroedinger in 1936 and perused by J.L. Park, Am. J. Phys., Vol. 36, 211 (1968). To resolve it, we must either reject as unsound the concept of state, or else undertake a serious reformulation of quantum theory and the role of statistics. We restate the difficulty and discuss a possible resol"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0610057","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":"2026-05-18T01:37:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e54DTQCBYWsfX2cV/tMrjeUUTJyUEXGgUSXatPF81AZC9U335DSHFVubRz9G56FuWlHofhPFDAYk7HAwpyL+DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T10:44:07.401436Z"},"content_sha256":"85d289ff865acdc8f8367dd6820cdd07b1443ae2bcf314381af89ef47d905f91","schema_version":"1.0","event_id":"sha256:85d289ff865acdc8f8367dd6820cdd07b1443ae2bcf314381af89ef47d905f91"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HVH2ZEBVKLZ3TNCXKR7IE6VW6S/bundle.json","state_url":"https://pith.science/pith/HVH2ZEBVKLZ3TNCXKR7IE6VW6S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HVH2ZEBVKLZ3TNCXKR7IE6VW6S/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":"2026-06-30T10:44:07Z","links":{"resolver":"https://pith.science/pith/HVH2ZEBVKLZ3TNCXKR7IE6VW6S","bundle":"https://pith.science/pith/HVH2ZEBVKLZ3TNCXKR7IE6VW6S/bundle.json","state":"https://pith.science/pith/HVH2ZEBVKLZ3TNCXKR7IE6VW6S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HVH2ZEBVKLZ3TNCXKR7IE6VW6S/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:HVH2ZEBVKLZ3TNCXKR7IE6VW6S","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":"a5c848148e7910417a95ec93e83f5cb52aa180b897101a0e15f63ab34dda1cd9","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2006-10-09T11:36:16Z","title_canon_sha256":"2cc6ded93c632303ac9fbc0c6cc72f566f745ec4c9bdef26e9f3950cb01427d1"},"schema_version":"1.0","source":{"id":"quant-ph/0610057","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0610057","created_at":"2026-05-18T01:37:54Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0610057v2","created_at":"2026-05-18T01:37:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0610057","created_at":"2026-05-18T01:37:54Z"},{"alias_kind":"pith_short_12","alias_value":"HVH2ZEBVKLZ3","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"HVH2ZEBVKLZ3TNCX","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"HVH2ZEBV","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:85d289ff865acdc8f8367dd6820cdd07b1443ae2bcf314381af89ef47d905f91","target":"graph","created_at":"2026-05-18T01:37:54Z","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 seldom recognized fundamental difficulty undermines the concept of individual ``state'' in the present formulations of quantum statistical mechanics (and in its quantum information theory interpretation as well). The difficulty is an unavoidable consequence of an almost forgotten corollary proved by E. Schroedinger in 1936 and perused by J.L. Park, Am. J. Phys., Vol. 36, 211 (1968). To resolve it, we must either reject as unsound the concept of state, or else undertake a serious reformulation of quantum theory and the role of statistics. We restate the difficulty and discuss a possible resol","authors_text":"Gian Paolo Beretta","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2006-10-09T11:36:16Z","title":"The Hatsopoulos-Gyftopoulos resolution of the Schroedinger-Park paradox about the concept of \"state\" in quantum statistical mechanics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0610057","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":"sha256:988f411c178e7771e644517d9a37d8c32ff94bd77263eb7695ef6c269877d727","target":"record","created_at":"2026-05-18T01:37:54Z","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":"a5c848148e7910417a95ec93e83f5cb52aa180b897101a0e15f63ab34dda1cd9","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2006-10-09T11:36:16Z","title_canon_sha256":"2cc6ded93c632303ac9fbc0c6cc72f566f745ec4c9bdef26e9f3950cb01427d1"},"schema_version":"1.0","source":{"id":"quant-ph/0610057","kind":"arxiv","version":2}},"canonical_sha256":"3d4fac903552f3b9b457547e827ab6f4b0c5c9128e2602d7bf784b862cd13581","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3d4fac903552f3b9b457547e827ab6f4b0c5c9128e2602d7bf784b862cd13581","first_computed_at":"2026-05-18T01:37:54.097231Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:54.097231Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l8Kj31nvgwYVFyhLrZqX5ZFLuqWJR4HAFxX7CtmjLDUKR0n0jxI3zZkvicuot1yTOp9khHTKSHVgdAlHPo3aBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:54.097932Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0610057","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:988f411c178e7771e644517d9a37d8c32ff94bd77263eb7695ef6c269877d727","sha256:85d289ff865acdc8f8367dd6820cdd07b1443ae2bcf314381af89ef47d905f91"],"state_sha256":"de20657c9d87f69c3418fe6ab7a13d9e65d58d1e7e391fec44a2e4970b4d9891"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2P99RQw8oHBaE5BljAnbJbDq86jlgvHGF1l9cQbZWzAUJfnFTEyHRFQNRm1tvi/ADquRgpE68VG19H5NxGIXAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T10:44:07.403343Z","bundle_sha256":"529cc36e4f3cfab2d8e0304c0b373d34b9956a31b65eb31b6e2de431a87bff43"}}