{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:UIPDODL3LDFMKLUYOQLN54WFTM","short_pith_number":"pith:UIPDODL3","canonical_record":{"source":{"id":"1202.5355","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-02-24T01:01:55Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"3db296b02b3b8e66a4f7b74bd71f391d741f6625a267b4913ec13b718590d077","abstract_canon_sha256":"571b2fbcd7025b1f33834bcbbea97d2590e101bfbb757df242e6c6c7bf047bb6"},"schema_version":"1.0"},"canonical_sha256":"a21e370d7b58cac52e987416def2c59b21b58f74530ebada08ea9466902e2eb9","source":{"kind":"arxiv","id":"1202.5355","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.5355","created_at":"2026-05-18T01:58:20Z"},{"alias_kind":"arxiv_version","alias_value":"1202.5355v1","created_at":"2026-05-18T01:58:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.5355","created_at":"2026-05-18T01:58:20Z"},{"alias_kind":"pith_short_12","alias_value":"UIPDODL3LDFM","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"UIPDODL3LDFMKLUY","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"UIPDODL3","created_at":"2026-05-18T12:27:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:UIPDODL3LDFMKLUYOQLN54WFTM","target":"record","payload":{"canonical_record":{"source":{"id":"1202.5355","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-02-24T01:01:55Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"3db296b02b3b8e66a4f7b74bd71f391d741f6625a267b4913ec13b718590d077","abstract_canon_sha256":"571b2fbcd7025b1f33834bcbbea97d2590e101bfbb757df242e6c6c7bf047bb6"},"schema_version":"1.0"},"canonical_sha256":"a21e370d7b58cac52e987416def2c59b21b58f74530ebada08ea9466902e2eb9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:58:20.045734Z","signature_b64":"ZmvpCDmonegUFHf8qGnmhGOILfrRRD6vy7omLT2jxGowCyL817DEvSA+PQjE+fjFxY5DOnppcyJ++3vyxlp2Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a21e370d7b58cac52e987416def2c59b21b58f74530ebada08ea9466902e2eb9","last_reissued_at":"2026-05-18T01:58:20.045267Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:58:20.045267Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1202.5355","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":"2026-05-18T01:58:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vbbf/1cu/Ccz2UU7sD5MfS3qFZN2+d0Z8NAfx05ppgkAZwZmmb8owsYRNMNVK2tekM4CgJt5wpN7z63UWcC+Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T23:29:12.688099Z"},"content_sha256":"514169126495f8cf73cc1a569ba3be9ecb5fa272af43bb1ed52ba9c83f7a5dfd","schema_version":"1.0","event_id":"sha256:514169126495f8cf73cc1a569ba3be9ecb5fa272af43bb1ed52ba9c83f7a5dfd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:UIPDODL3LDFMKLUYOQLN54WFTM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The improved Gaussian approximation Calculation of Bogoliubov Mode in One Dimensional Bosonic Gas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.quant-gas","authors_text":"Daoguang Tu, Dingping Li, Qiong Li","submitted_at":"2012-02-24T01:01:55Z","abstract_excerpt":"In this paper, we study the homogeneous one-dimensional bosonic gas interacting via a repulsive contact potential by using the improved Gaussian approximation. We obtain the gapless excitation spectrum of Bogoliubov mode. Our result is in good agreement with the exact numerical calculation based on the Bethe ansatz. We speculate that the improved Gaussian approximation could be a quantitatively good approximation for higher dimensional systems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.5355","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":"2026-05-18T01:58:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V410qdonlLKd3Q441rO8Pe2pQbYrwQ/r3xJGgccnQTe9GujEnBkuiRLMZhlyL8mzIz+etmUojABoarameuDuAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T23:29:12.688459Z"},"content_sha256":"f3371dc6b634b5fb99878b22067d76739537b8078c9b0ce9322639835663a624","schema_version":"1.0","event_id":"sha256:f3371dc6b634b5fb99878b22067d76739537b8078c9b0ce9322639835663a624"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UIPDODL3LDFMKLUYOQLN54WFTM/bundle.json","state_url":"https://pith.science/pith/UIPDODL3LDFMKLUYOQLN54WFTM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UIPDODL3LDFMKLUYOQLN54WFTM/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":"2026-06-08T23:29:12Z","links":{"resolver":"https://pith.science/pith/UIPDODL3LDFMKLUYOQLN54WFTM","bundle":"https://pith.science/pith/UIPDODL3LDFMKLUYOQLN54WFTM/bundle.json","state":"https://pith.science/pith/UIPDODL3LDFMKLUYOQLN54WFTM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UIPDODL3LDFMKLUYOQLN54WFTM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:UIPDODL3LDFMKLUYOQLN54WFTM","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":"571b2fbcd7025b1f33834bcbbea97d2590e101bfbb757df242e6c6c7bf047bb6","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-02-24T01:01:55Z","title_canon_sha256":"3db296b02b3b8e66a4f7b74bd71f391d741f6625a267b4913ec13b718590d077"},"schema_version":"1.0","source":{"id":"1202.5355","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.5355","created_at":"2026-05-18T01:58:20Z"},{"alias_kind":"arxiv_version","alias_value":"1202.5355v1","created_at":"2026-05-18T01:58:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.5355","created_at":"2026-05-18T01:58:20Z"},{"alias_kind":"pith_short_12","alias_value":"UIPDODL3LDFM","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"UIPDODL3LDFMKLUY","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"UIPDODL3","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:f3371dc6b634b5fb99878b22067d76739537b8078c9b0ce9322639835663a624","target":"graph","created_at":"2026-05-18T01:58:20Z","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":"In this paper, we study the homogeneous one-dimensional bosonic gas interacting via a repulsive contact potential by using the improved Gaussian approximation. We obtain the gapless excitation spectrum of Bogoliubov mode. Our result is in good agreement with the exact numerical calculation based on the Bethe ansatz. We speculate that the improved Gaussian approximation could be a quantitatively good approximation for higher dimensional systems.","authors_text":"Daoguang Tu, Dingping Li, Qiong Li","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-02-24T01:01:55Z","title":"The improved Gaussian approximation Calculation of Bogoliubov Mode in One Dimensional Bosonic Gas"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.5355","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":"sha256:514169126495f8cf73cc1a569ba3be9ecb5fa272af43bb1ed52ba9c83f7a5dfd","target":"record","created_at":"2026-05-18T01:58:20Z","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":"571b2fbcd7025b1f33834bcbbea97d2590e101bfbb757df242e6c6c7bf047bb6","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-02-24T01:01:55Z","title_canon_sha256":"3db296b02b3b8e66a4f7b74bd71f391d741f6625a267b4913ec13b718590d077"},"schema_version":"1.0","source":{"id":"1202.5355","kind":"arxiv","version":1}},"canonical_sha256":"a21e370d7b58cac52e987416def2c59b21b58f74530ebada08ea9466902e2eb9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a21e370d7b58cac52e987416def2c59b21b58f74530ebada08ea9466902e2eb9","first_computed_at":"2026-05-18T01:58:20.045267Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:58:20.045267Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZmvpCDmonegUFHf8qGnmhGOILfrRRD6vy7omLT2jxGowCyL817DEvSA+PQjE+fjFxY5DOnppcyJ++3vyxlp2Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:58:20.045734Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.5355","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:514169126495f8cf73cc1a569ba3be9ecb5fa272af43bb1ed52ba9c83f7a5dfd","sha256:f3371dc6b634b5fb99878b22067d76739537b8078c9b0ce9322639835663a624"],"state_sha256":"dc2cf1dddcba6f96ce987fb37f65489c907dc1cf4e7f8a8d06fd487c29e2670d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PwL+Z0CqNSRA75EQAaJJ88IcRE68PZjWYlQ3ytA7LaeaDGYhXhluBWL5FlnK90biNfo78RFrqA0xR7tVg+/KAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T23:29:12.690338Z","bundle_sha256":"b995e69c8f4a16bea1edc11bcfd7edba8da2391f788f43b8cf10c37a4b381af9"}}