{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:A7HWS6YP2UNHU3GF26C6TUMXTW","short_pith_number":"pith:A7HWS6YP","canonical_record":{"source":{"id":"1611.03746","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2016-11-10T19:22:42Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"393fc52e8df5c31cb91f8ac72d538d18c5eeab979c189b73ff97c591f8370996","abstract_canon_sha256":"88700be756e3fca9a78d7e09bdd08ee570d4a87eb4931336aee4bcec793c826a"},"schema_version":"1.0"},"canonical_sha256":"07cf697b0fd51a7a6cc5d785e9d1979d9b223a916cbae2be43ce61e97f9645a3","source":{"kind":"arxiv","id":"1611.03746","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.03746","created_at":"2026-05-18T00:59:33Z"},{"alias_kind":"arxiv_version","alias_value":"1611.03746v1","created_at":"2026-05-18T00:59:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.03746","created_at":"2026-05-18T00:59:33Z"},{"alias_kind":"pith_short_12","alias_value":"A7HWS6YP2UNH","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"A7HWS6YP2UNHU3GF","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"A7HWS6YP","created_at":"2026-05-18T12:30:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:A7HWS6YP2UNHU3GF26C6TUMXTW","target":"record","payload":{"canonical_record":{"source":{"id":"1611.03746","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2016-11-10T19:22:42Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"393fc52e8df5c31cb91f8ac72d538d18c5eeab979c189b73ff97c591f8370996","abstract_canon_sha256":"88700be756e3fca9a78d7e09bdd08ee570d4a87eb4931336aee4bcec793c826a"},"schema_version":"1.0"},"canonical_sha256":"07cf697b0fd51a7a6cc5d785e9d1979d9b223a916cbae2be43ce61e97f9645a3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:59:33.459900Z","signature_b64":"In63reLfBg15SgSVn+R6N4vwfurFpzlAGt9JXQ3dJd7iYWHphft1TSXDrYcgjCXN6rbs5u9CmyPT3/vqNbkfDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"07cf697b0fd51a7a6cc5d785e9d1979d9b223a916cbae2be43ce61e97f9645a3","last_reissued_at":"2026-05-18T00:59:33.459178Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:59:33.459178Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.03746","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:59:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oQs0ApvJR3pfimeCmnb52xr25MBGDxPn29X54j5Ro9q5XrOX7dyPzdvxVZX3R5Su7bhhB2eOjxYauQ2H3LB2Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T09:39:05.039295Z"},"content_sha256":"43f1f8f1f424a4470004a117a9826b2dd4f25f50eee1feee2f8e5910d7d4869d","schema_version":"1.0","event_id":"sha256:43f1f8f1f424a4470004a117a9826b2dd4f25f50eee1feee2f8e5910d7d4869d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:A7HWS6YP2UNHU3GF26C6TUMXTW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite volume corrections and low momentum cuts in the thermodynamics of quantum gases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"nucl-th","authors_text":"INP & Jagiellonian U.), Kacper Zalewski (Cracow, Krzysztof Redlich (Wroclaw U)","submitted_at":"2016-11-10T19:22:42Z","abstract_excerpt":"The conjecture, that the finite volume corrections to the thermodynamic functions can be correctly reproduced by using the thermodynamic limit with low particle momenta cutoff is examined in a very transparent example of an ideal boson gas in one dimension.\n  We show that this conjecture is always true in principle, and derive convenient relations for the momentum cutoff dependence on thermal parameters in the asymptotic limits of large and small volume."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.03746","kind":"arxiv","version":1},"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":"2026-05-18T00:59:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YUCVY7CnecqYpu+XYlZ5g7edd4MjmgF9/snBU9//UXj6Cz5GAyh8nFDYGYOfF6OZuh9xiDZ+6X9QTC4BNE6NCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T09:39:05.040328Z"},"content_sha256":"ffa9282daafe949015953d0a387d40ed981843d7ddae9dcea1ebe85acab7050c","schema_version":"1.0","event_id":"sha256:ffa9282daafe949015953d0a387d40ed981843d7ddae9dcea1ebe85acab7050c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A7HWS6YP2UNHU3GF26C6TUMXTW/bundle.json","state_url":"https://pith.science/pith/A7HWS6YP2UNHU3GF26C6TUMXTW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A7HWS6YP2UNHU3GF26C6TUMXTW/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":"2026-08-17T09:39:05Z","links":{"resolver":"https://pith.science/pith/A7HWS6YP2UNHU3GF26C6TUMXTW","bundle":"https://pith.science/pith/A7HWS6YP2UNHU3GF26C6TUMXTW/bundle.json","state":"https://pith.science/pith/A7HWS6YP2UNHU3GF26C6TUMXTW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A7HWS6YP2UNHU3GF26C6TUMXTW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:A7HWS6YP2UNHU3GF26C6TUMXTW","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":"88700be756e3fca9a78d7e09bdd08ee570d4a87eb4931336aee4bcec793c826a","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2016-11-10T19:22:42Z","title_canon_sha256":"393fc52e8df5c31cb91f8ac72d538d18c5eeab979c189b73ff97c591f8370996"},"schema_version":"1.0","source":{"id":"1611.03746","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.03746","created_at":"2026-05-18T00:59:33Z"},{"alias_kind":"arxiv_version","alias_value":"1611.03746v1","created_at":"2026-05-18T00:59:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.03746","created_at":"2026-05-18T00:59:33Z"},{"alias_kind":"pith_short_12","alias_value":"A7HWS6YP2UNH","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"A7HWS6YP2UNHU3GF","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"A7HWS6YP","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:ffa9282daafe949015953d0a387d40ed981843d7ddae9dcea1ebe85acab7050c","target":"graph","created_at":"2026-05-18T00:59:33Z","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":"The conjecture, that the finite volume corrections to the thermodynamic functions can be correctly reproduced by using the thermodynamic limit with low particle momenta cutoff is examined in a very transparent example of an ideal boson gas in one dimension.\n  We show that this conjecture is always true in principle, and derive convenient relations for the momentum cutoff dependence on thermal parameters in the asymptotic limits of large and small volume.","authors_text":"INP & Jagiellonian U.), Kacper Zalewski (Cracow, Krzysztof Redlich (Wroclaw U)","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2016-11-10T19:22:42Z","title":"Finite volume corrections and low momentum cuts in the thermodynamics of quantum gases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.03746","kind":"arxiv","version":1},"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":"sha256:43f1f8f1f424a4470004a117a9826b2dd4f25f50eee1feee2f8e5910d7d4869d","target":"record","created_at":"2026-05-18T00:59:33Z","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":"88700be756e3fca9a78d7e09bdd08ee570d4a87eb4931336aee4bcec793c826a","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2016-11-10T19:22:42Z","title_canon_sha256":"393fc52e8df5c31cb91f8ac72d538d18c5eeab979c189b73ff97c591f8370996"},"schema_version":"1.0","source":{"id":"1611.03746","kind":"arxiv","version":1}},"canonical_sha256":"07cf697b0fd51a7a6cc5d785e9d1979d9b223a916cbae2be43ce61e97f9645a3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"07cf697b0fd51a7a6cc5d785e9d1979d9b223a916cbae2be43ce61e97f9645a3","first_computed_at":"2026-05-18T00:59:33.459178Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:59:33.459178Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"In63reLfBg15SgSVn+R6N4vwfurFpzlAGt9JXQ3dJd7iYWHphft1TSXDrYcgjCXN6rbs5u9CmyPT3/vqNbkfDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:59:33.459900Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.03746","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:43f1f8f1f424a4470004a117a9826b2dd4f25f50eee1feee2f8e5910d7d4869d","sha256:ffa9282daafe949015953d0a387d40ed981843d7ddae9dcea1ebe85acab7050c"],"state_sha256":"55dcc319e39333ebbed17854e5a5d46054156c9800e807a26e0fe7da7b6a8cbd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LCNdm+tjDhOtyIDZ7hvsCBXi77w7EWKTBchhyOapagQOJN2ISHCGrD6XFdEJwSu1QEDWIEVqRv4eSCzagCnDCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T09:39:05.048228Z","bundle_sha256":"b2a3f532f8c2ae510d726fadc3fcd032403b97124b82883dc8f428516a3b810b"}}