{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:3KXY5UDN22YLV5SSCANO7IMA54","short_pith_number":"pith:3KXY5UDN","canonical_record":{"source":{"id":"1008.3297","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-08-19T13:21:18Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"679ffd39b8034fd73121ae8b7fc4e716b384e2825f5d5ae88708f22262c386f7","abstract_canon_sha256":"8aab5e1e7a76c6e8d1fe5d4e238928b7249d016a29bc7f4dad8348d00512da1c"},"schema_version":"1.0"},"canonical_sha256":"daaf8ed06dd6b0baf652101aefa180ef25f868bcdb525e32c57b2af010a8862d","source":{"kind":"arxiv","id":"1008.3297","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.3297","created_at":"2026-05-18T04:32:36Z"},{"alias_kind":"arxiv_version","alias_value":"1008.3297v2","created_at":"2026-05-18T04:32:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.3297","created_at":"2026-05-18T04:32:36Z"},{"alias_kind":"pith_short_12","alias_value":"3KXY5UDN22YL","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"3KXY5UDN22YLV5SS","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"3KXY5UDN","created_at":"2026-05-18T12:26:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:3KXY5UDN22YLV5SSCANO7IMA54","target":"record","payload":{"canonical_record":{"source":{"id":"1008.3297","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-08-19T13:21:18Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"679ffd39b8034fd73121ae8b7fc4e716b384e2825f5d5ae88708f22262c386f7","abstract_canon_sha256":"8aab5e1e7a76c6e8d1fe5d4e238928b7249d016a29bc7f4dad8348d00512da1c"},"schema_version":"1.0"},"canonical_sha256":"daaf8ed06dd6b0baf652101aefa180ef25f868bcdb525e32c57b2af010a8862d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:32:36.194701Z","signature_b64":"7UwyZ2UjHEp7sPMh2QnYRHJ3kiJ6LJl2mE13Ilg8HvV8qfZNxdq9+wXkVbBmU3+HWPmp+bYj8ymbJNTPw2lEAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"daaf8ed06dd6b0baf652101aefa180ef25f868bcdb525e32c57b2af010a8862d","last_reissued_at":"2026-05-18T04:32:36.194188Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:32:36.194188Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.3297","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":"2026-05-18T04:32:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ppUQlsPqfyVBuGZ9JQZQ4Achf37ZTCaB/Yr/VxLRY+CtVrQ6cLXZ+NGOxc04gFInO0Y27/DQJr0P9EJe4+B7Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T12:49:31.608542Z"},"content_sha256":"0e0bde610f56c667dad15ca8b22ea61249c0b677786621a5c13829feac50b109","schema_version":"1.0","event_id":"sha256:0e0bde610f56c667dad15ca8b22ea61249c0b677786621a5c13829feac50b109"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:3KXY5UDN22YLV5SSCANO7IMA54","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Microlagrangian manifolds and quasithermodynamic fluctuations of nonequilibrium states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Artur Ruuge","submitted_at":"2010-08-19T13:21:18Z","abstract_excerpt":"The paper deals with \"quantization\" and \"second quantization\" of phenomenological thermodynamics with respect to the Boltzmann's constant. It is suggested to perceive the quasithermodynamic parameter (corresponding to the Boltzmann's constant) as a mathematical analogue of the semiclassical parameter (corresponding to the Planck's constant), and to introduce a new concept of a \"thermocorpuscle\" (a thermodynamic analogue of a particle where the coordinates are replaced by the nonequilibrium thermodynamic forces and the momenta are replaced by the corresponding flows). The semiclassical quantiza"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.3297","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":"2026-05-18T04:32:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z79/d0BT2/IS631s0ZWK+wut0AujTvvHT02BFnGENezqIIZNtdKgZ4GM/vKePlrF7+uQLJYbBTSUjcGEdUs5CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T12:49:31.608886Z"},"content_sha256":"d77c5559e9766330163b69db0c6fb0b34f3bbfbd28b30fa1dc04937ecf46c83c","schema_version":"1.0","event_id":"sha256:d77c5559e9766330163b69db0c6fb0b34f3bbfbd28b30fa1dc04937ecf46c83c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3KXY5UDN22YLV5SSCANO7IMA54/bundle.json","state_url":"https://pith.science/pith/3KXY5UDN22YLV5SSCANO7IMA54/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3KXY5UDN22YLV5SSCANO7IMA54/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":"2026-06-24T12:49:31Z","links":{"resolver":"https://pith.science/pith/3KXY5UDN22YLV5SSCANO7IMA54","bundle":"https://pith.science/pith/3KXY5UDN22YLV5SSCANO7IMA54/bundle.json","state":"https://pith.science/pith/3KXY5UDN22YLV5SSCANO7IMA54/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3KXY5UDN22YLV5SSCANO7IMA54/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:3KXY5UDN22YLV5SSCANO7IMA54","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":"8aab5e1e7a76c6e8d1fe5d4e238928b7249d016a29bc7f4dad8348d00512da1c","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-08-19T13:21:18Z","title_canon_sha256":"679ffd39b8034fd73121ae8b7fc4e716b384e2825f5d5ae88708f22262c386f7"},"schema_version":"1.0","source":{"id":"1008.3297","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.3297","created_at":"2026-05-18T04:32:36Z"},{"alias_kind":"arxiv_version","alias_value":"1008.3297v2","created_at":"2026-05-18T04:32:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.3297","created_at":"2026-05-18T04:32:36Z"},{"alias_kind":"pith_short_12","alias_value":"3KXY5UDN22YL","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"3KXY5UDN22YLV5SS","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"3KXY5UDN","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:d77c5559e9766330163b69db0c6fb0b34f3bbfbd28b30fa1dc04937ecf46c83c","target":"graph","created_at":"2026-05-18T04:32:36Z","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 paper deals with \"quantization\" and \"second quantization\" of phenomenological thermodynamics with respect to the Boltzmann's constant. It is suggested to perceive the quasithermodynamic parameter (corresponding to the Boltzmann's constant) as a mathematical analogue of the semiclassical parameter (corresponding to the Planck's constant), and to introduce a new concept of a \"thermocorpuscle\" (a thermodynamic analogue of a particle where the coordinates are replaced by the nonequilibrium thermodynamic forces and the momenta are replaced by the corresponding flows). The semiclassical quantiza","authors_text":"Artur Ruuge","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-08-19T13:21:18Z","title":"Microlagrangian manifolds and quasithermodynamic fluctuations of nonequilibrium states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.3297","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":"sha256:0e0bde610f56c667dad15ca8b22ea61249c0b677786621a5c13829feac50b109","target":"record","created_at":"2026-05-18T04:32:36Z","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":"8aab5e1e7a76c6e8d1fe5d4e238928b7249d016a29bc7f4dad8348d00512da1c","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-08-19T13:21:18Z","title_canon_sha256":"679ffd39b8034fd73121ae8b7fc4e716b384e2825f5d5ae88708f22262c386f7"},"schema_version":"1.0","source":{"id":"1008.3297","kind":"arxiv","version":2}},"canonical_sha256":"daaf8ed06dd6b0baf652101aefa180ef25f868bcdb525e32c57b2af010a8862d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"daaf8ed06dd6b0baf652101aefa180ef25f868bcdb525e32c57b2af010a8862d","first_computed_at":"2026-05-18T04:32:36.194188Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:32:36.194188Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7UwyZ2UjHEp7sPMh2QnYRHJ3kiJ6LJl2mE13Ilg8HvV8qfZNxdq9+wXkVbBmU3+HWPmp+bYj8ymbJNTPw2lEAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:32:36.194701Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.3297","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0e0bde610f56c667dad15ca8b22ea61249c0b677786621a5c13829feac50b109","sha256:d77c5559e9766330163b69db0c6fb0b34f3bbfbd28b30fa1dc04937ecf46c83c"],"state_sha256":"78669e56400625b6e5fc770e3a37d39aa71c4bcda21851ab4d64b97c43f8508d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N0vqjCnPM3eNQgkqjc38mLZ/o6XujYzZ7xtwl3yboI1xQVX59SwsiqubDrmQNBST7OwRIEiAboiinVpHnYYlBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T12:49:31.610838Z","bundle_sha256":"3e3038d2b0e8003b2f7f3ef008ecf1bd280a0b291fb0a2662ed10d26a85a9482"}}