{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:KLEAXTPGUIG2BIYFE2AIAODNUG","short_pith_number":"pith:KLEAXTPG","canonical_record":{"source":{"id":"1510.02081","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-10-07T19:55:36Z","cross_cats_sorted":[],"title_canon_sha256":"2555404fc1ff837baa3038038bdffd5391c1418f797672bd1d88f987d84e9b97","abstract_canon_sha256":"a65702cc66e02f181f29a9acae40b54c8a41b82db3c54ac5d7950fd2929867cd"},"schema_version":"1.0"},"canonical_sha256":"52c80bcde6a20da0a305268080386da18402a1cd755e47108d6be4ac610c5085","source":{"kind":"arxiv","id":"1510.02081","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.02081","created_at":"2026-05-18T01:11:37Z"},{"alias_kind":"arxiv_version","alias_value":"1510.02081v2","created_at":"2026-05-18T01:11:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.02081","created_at":"2026-05-18T01:11:37Z"},{"alias_kind":"pith_short_12","alias_value":"KLEAXTPGUIG2","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"KLEAXTPGUIG2BIYF","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"KLEAXTPG","created_at":"2026-05-18T12:29:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:KLEAXTPGUIG2BIYFE2AIAODNUG","target":"record","payload":{"canonical_record":{"source":{"id":"1510.02081","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-10-07T19:55:36Z","cross_cats_sorted":[],"title_canon_sha256":"2555404fc1ff837baa3038038bdffd5391c1418f797672bd1d88f987d84e9b97","abstract_canon_sha256":"a65702cc66e02f181f29a9acae40b54c8a41b82db3c54ac5d7950fd2929867cd"},"schema_version":"1.0"},"canonical_sha256":"52c80bcde6a20da0a305268080386da18402a1cd755e47108d6be4ac610c5085","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:37.437532Z","signature_b64":"gUHNCvqFhkvmC17tIqyY55rz/a4X9QvjAz1Bgg8ocg/ENx1vF2Ek57f8I4RU1CVZOci48N1Ip6C3iS/wZ906Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"52c80bcde6a20da0a305268080386da18402a1cd755e47108d6be4ac610c5085","last_reissued_at":"2026-05-18T01:11:37.437141Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:37.437141Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.02081","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":"2026-05-18T01:11:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CXSQKehh/PhQqFHNdwZ3lqP0xp564MLTf4ctJbzjs8tv1xIKxF6FRR4y/eGMgRZjmBUkKCJ75UR9IX4BpUjBAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T17:47:27.986601Z"},"content_sha256":"403533bc7759340b9963181d6f4fb6c20bc644a5ae6f9541b20c9c98578402bf","schema_version":"1.0","event_id":"sha256:403533bc7759340b9963181d6f4fb6c20bc644a5ae6f9541b20c9c98578402bf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:KLEAXTPGUIG2BIYFE2AIAODNUG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Equation of state and Kosterlitz-Thouless transition temperature in two-dimensional Fermi gases: An analytical approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Michael Klawunn","submitted_at":"2015-10-07T19:55:36Z","abstract_excerpt":"We study Fermi gases in two dimensions at low temperatures with attractive interactions. Analytical results are derived for the equation of state and the Kosterlitz-Thouless transition temperature as functions of the two-body binding energy and the density of the gas. Our results for the equation of state strongly deviate from the mean field predictions. However, they are in reasonable agreement with Monte-Carlo calculations and recent experiments with cold atomic gases."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.02081","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":"2026-05-18T01:11:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6yLQOLu8RFtXy+0CbvooPadE15UYcp3SxVXhDLFM7YeqerL2vryp3N82SVezUHO0NSGv1dDcXa3x0kzixBSTAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T17:47:27.987415Z"},"content_sha256":"c3fc3c9c2310d8deb24a69521685ba7b36a6efdbb38f5f2373e95eb7d9f15f11","schema_version":"1.0","event_id":"sha256:c3fc3c9c2310d8deb24a69521685ba7b36a6efdbb38f5f2373e95eb7d9f15f11"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KLEAXTPGUIG2BIYFE2AIAODNUG/bundle.json","state_url":"https://pith.science/pith/KLEAXTPGUIG2BIYFE2AIAODNUG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KLEAXTPGUIG2BIYFE2AIAODNUG/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":"2026-05-30T17:47:27Z","links":{"resolver":"https://pith.science/pith/KLEAXTPGUIG2BIYFE2AIAODNUG","bundle":"https://pith.science/pith/KLEAXTPGUIG2BIYFE2AIAODNUG/bundle.json","state":"https://pith.science/pith/KLEAXTPGUIG2BIYFE2AIAODNUG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KLEAXTPGUIG2BIYFE2AIAODNUG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:KLEAXTPGUIG2BIYFE2AIAODNUG","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":"a65702cc66e02f181f29a9acae40b54c8a41b82db3c54ac5d7950fd2929867cd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-10-07T19:55:36Z","title_canon_sha256":"2555404fc1ff837baa3038038bdffd5391c1418f797672bd1d88f987d84e9b97"},"schema_version":"1.0","source":{"id":"1510.02081","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.02081","created_at":"2026-05-18T01:11:37Z"},{"alias_kind":"arxiv_version","alias_value":"1510.02081v2","created_at":"2026-05-18T01:11:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.02081","created_at":"2026-05-18T01:11:37Z"},{"alias_kind":"pith_short_12","alias_value":"KLEAXTPGUIG2","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"KLEAXTPGUIG2BIYF","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"KLEAXTPG","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:c3fc3c9c2310d8deb24a69521685ba7b36a6efdbb38f5f2373e95eb7d9f15f11","target":"graph","created_at":"2026-05-18T01:11:37Z","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":"We study Fermi gases in two dimensions at low temperatures with attractive interactions. Analytical results are derived for the equation of state and the Kosterlitz-Thouless transition temperature as functions of the two-body binding energy and the density of the gas. Our results for the equation of state strongly deviate from the mean field predictions. However, they are in reasonable agreement with Monte-Carlo calculations and recent experiments with cold atomic gases.","authors_text":"Michael Klawunn","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-10-07T19:55:36Z","title":"Equation of state and Kosterlitz-Thouless transition temperature in two-dimensional Fermi gases: An analytical approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.02081","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":"sha256:403533bc7759340b9963181d6f4fb6c20bc644a5ae6f9541b20c9c98578402bf","target":"record","created_at":"2026-05-18T01:11:37Z","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":"a65702cc66e02f181f29a9acae40b54c8a41b82db3c54ac5d7950fd2929867cd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-10-07T19:55:36Z","title_canon_sha256":"2555404fc1ff837baa3038038bdffd5391c1418f797672bd1d88f987d84e9b97"},"schema_version":"1.0","source":{"id":"1510.02081","kind":"arxiv","version":2}},"canonical_sha256":"52c80bcde6a20da0a305268080386da18402a1cd755e47108d6be4ac610c5085","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"52c80bcde6a20da0a305268080386da18402a1cd755e47108d6be4ac610c5085","first_computed_at":"2026-05-18T01:11:37.437141Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:37.437141Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gUHNCvqFhkvmC17tIqyY55rz/a4X9QvjAz1Bgg8ocg/ENx1vF2Ek57f8I4RU1CVZOci48N1Ip6C3iS/wZ906Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:37.437532Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.02081","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:403533bc7759340b9963181d6f4fb6c20bc644a5ae6f9541b20c9c98578402bf","sha256:c3fc3c9c2310d8deb24a69521685ba7b36a6efdbb38f5f2373e95eb7d9f15f11"],"state_sha256":"c5191ab0ac0f3c0439e264c2def24b6973a4b3e14dc68537285f8144d5385bc4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HfTpQ3Vr5s6h26ZPvK68b5G9b6BR5dwkE0o000MYTFKhilQjvcNJ+t+uvIqokPSY7juMRcmpK87H1wyxz3zIDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T17:47:27.992395Z","bundle_sha256":"50a78af1326e577dc4d41c6d9001409627f60edd3a072bb334fce83e8293d556"}}