{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:ENRBDYZJYBVS5GUOB7TLIWGE4Y","short_pith_number":"pith:ENRBDYZJ","canonical_record":{"source":{"id":"1312.6957","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2013-12-25T11:12:25Z","cross_cats_sorted":[],"title_canon_sha256":"7495aaa4999edbe3f31cf06c35957aa015d53c03b9ccb1b24ec69f69e0129d9a","abstract_canon_sha256":"4cfc2d8e7402d4868e5a892232e720a44fde833e68a717dd7513a906dbd1c6f3"},"schema_version":"1.0"},"canonical_sha256":"236211e329c06b2e9a8e0fe6b458c4e6387b5310d383effa7a1fb6dd64c29ea3","source":{"kind":"arxiv","id":"1312.6957","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.6957","created_at":"2026-05-18T02:41:26Z"},{"alias_kind":"arxiv_version","alias_value":"1312.6957v3","created_at":"2026-05-18T02:41:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.6957","created_at":"2026-05-18T02:41:26Z"},{"alias_kind":"pith_short_12","alias_value":"ENRBDYZJYBVS","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"ENRBDYZJYBVS5GUO","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"ENRBDYZJ","created_at":"2026-05-18T12:27:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:ENRBDYZJYBVS5GUOB7TLIWGE4Y","target":"record","payload":{"canonical_record":{"source":{"id":"1312.6957","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2013-12-25T11:12:25Z","cross_cats_sorted":[],"title_canon_sha256":"7495aaa4999edbe3f31cf06c35957aa015d53c03b9ccb1b24ec69f69e0129d9a","abstract_canon_sha256":"4cfc2d8e7402d4868e5a892232e720a44fde833e68a717dd7513a906dbd1c6f3"},"schema_version":"1.0"},"canonical_sha256":"236211e329c06b2e9a8e0fe6b458c4e6387b5310d383effa7a1fb6dd64c29ea3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:41:26.179943Z","signature_b64":"HhEqLQHWxXxflWn5yJMLfPmD7HcstpV09ZRCcoopM/fJc8jt9Qsy8K9kvQGJ++WerSCzaulAPi2KkpEwyOzJCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"236211e329c06b2e9a8e0fe6b458c4e6387b5310d383effa7a1fb6dd64c29ea3","last_reissued_at":"2026-05-18T02:41:26.179560Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:41:26.179560Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.6957","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":"2026-05-18T02:41:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CKkCWeUQrSe4UwXIoVUNchh2Gs/79mbrQa5S3ZBmQa2d+JTLO9WJHww7OEvkAzUUdsAqIdFMeQlzyLEkNHT4AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T02:00:41.435030Z"},"content_sha256":"6d87231294dd73e3e706b6a6699dd8a5b58b84e38487c59f59651fe6bf779b95","schema_version":"1.0","event_id":"sha256:6d87231294dd73e3e706b6a6699dd8a5b58b84e38487c59f59651fe6bf779b95"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:ENRBDYZJYBVS5GUOB7TLIWGE4Y","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Critical temperature of noninteracting bosonic gases in cubic optical lattices at arbitrary integer fillings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Abdulla Rakhimov, Iman N. Askerzade","submitted_at":"2013-12-25T11:12:25Z","abstract_excerpt":"We have shown that the critical temperature of a Bose-Einstein condensate to a normal phase transition of noninteracting bosons in cubic optical lattices has a linear dependence on the filling factor, especially at large densities. The condensed fraction exhibits a linear power law dependence on temperature in contrast to the case of ideal homogeneous Bose gases."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.6957","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":""},"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":"2026-05-18T02:41:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jJxDGx18L1/mgbw5us7qz7FlJ4Y2VnrhOf0jtudLkcgCiV+nm5a0I5MG9xmSZ9CQ5HM+Fmi/k41zzlfvKf2iBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T02:00:41.435802Z"},"content_sha256":"17b309d7cb41c33857d9306223bcb7ac86f09af432619530132934e2a916a032","schema_version":"1.0","event_id":"sha256:17b309d7cb41c33857d9306223bcb7ac86f09af432619530132934e2a916a032"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ENRBDYZJYBVS5GUOB7TLIWGE4Y/bundle.json","state_url":"https://pith.science/pith/ENRBDYZJYBVS5GUOB7TLIWGE4Y/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ENRBDYZJYBVS5GUOB7TLIWGE4Y/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":"2026-06-12T02:00:41Z","links":{"resolver":"https://pith.science/pith/ENRBDYZJYBVS5GUOB7TLIWGE4Y","bundle":"https://pith.science/pith/ENRBDYZJYBVS5GUOB7TLIWGE4Y/bundle.json","state":"https://pith.science/pith/ENRBDYZJYBVS5GUOB7TLIWGE4Y/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ENRBDYZJYBVS5GUOB7TLIWGE4Y/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ENRBDYZJYBVS5GUOB7TLIWGE4Y","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":"4cfc2d8e7402d4868e5a892232e720a44fde833e68a717dd7513a906dbd1c6f3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2013-12-25T11:12:25Z","title_canon_sha256":"7495aaa4999edbe3f31cf06c35957aa015d53c03b9ccb1b24ec69f69e0129d9a"},"schema_version":"1.0","source":{"id":"1312.6957","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.6957","created_at":"2026-05-18T02:41:26Z"},{"alias_kind":"arxiv_version","alias_value":"1312.6957v3","created_at":"2026-05-18T02:41:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.6957","created_at":"2026-05-18T02:41:26Z"},{"alias_kind":"pith_short_12","alias_value":"ENRBDYZJYBVS","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"ENRBDYZJYBVS5GUO","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"ENRBDYZJ","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:17b309d7cb41c33857d9306223bcb7ac86f09af432619530132934e2a916a032","target":"graph","created_at":"2026-05-18T02:41:26Z","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 have shown that the critical temperature of a Bose-Einstein condensate to a normal phase transition of noninteracting bosons in cubic optical lattices has a linear dependence on the filling factor, especially at large densities. The condensed fraction exhibits a linear power law dependence on temperature in contrast to the case of ideal homogeneous Bose gases.","authors_text":"Abdulla Rakhimov, Iman N. Askerzade","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2013-12-25T11:12:25Z","title":"Critical temperature of noninteracting bosonic gases in cubic optical lattices at arbitrary integer fillings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.6957","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":"sha256:6d87231294dd73e3e706b6a6699dd8a5b58b84e38487c59f59651fe6bf779b95","target":"record","created_at":"2026-05-18T02:41:26Z","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":"4cfc2d8e7402d4868e5a892232e720a44fde833e68a717dd7513a906dbd1c6f3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2013-12-25T11:12:25Z","title_canon_sha256":"7495aaa4999edbe3f31cf06c35957aa015d53c03b9ccb1b24ec69f69e0129d9a"},"schema_version":"1.0","source":{"id":"1312.6957","kind":"arxiv","version":3}},"canonical_sha256":"236211e329c06b2e9a8e0fe6b458c4e6387b5310d383effa7a1fb6dd64c29ea3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"236211e329c06b2e9a8e0fe6b458c4e6387b5310d383effa7a1fb6dd64c29ea3","first_computed_at":"2026-05-18T02:41:26.179560Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:26.179560Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HhEqLQHWxXxflWn5yJMLfPmD7HcstpV09ZRCcoopM/fJc8jt9Qsy8K9kvQGJ++WerSCzaulAPi2KkpEwyOzJCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:26.179943Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.6957","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6d87231294dd73e3e706b6a6699dd8a5b58b84e38487c59f59651fe6bf779b95","sha256:17b309d7cb41c33857d9306223bcb7ac86f09af432619530132934e2a916a032"],"state_sha256":"63f35c1b1b267159d863a5b7e7ff518fa3761f06418f31408ae447c094ac4c6f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4tw7e+FTA0JwdbUd+9UhnVWxD2oHlGuZAwuJe/AZGUOZlfabNausM2u8Qa7ELIvwY1Km+nRUOblaB2gXcEn4Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T02:00:41.440153Z","bundle_sha256":"f48b95b3098b2ec96891c6e4aebf5450787d987caa4dd5c98fe3430250be1109"}}