{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:2QERN5ULJZSJWN5U6BI2UJOMWE","short_pith_number":"pith:2QERN5UL","canonical_record":{"source":{"id":"cond-mat/0209676","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.soft","submitted_at":"2002-09-30T13:15:41Z","cross_cats_sorted":[],"title_canon_sha256":"f7fc60cb83c782b2e492da1e0621402d7fd0001d21588c47c7c88c8897d6dc04","abstract_canon_sha256":"ec2ce2f59028a6add30f117ab312431641c329f88ce6ae766be1a292cba30ff8"},"schema_version":"1.0"},"canonical_sha256":"d40916f68b4e649b37b4f051aa25ccb13a93d71d31ed37c2e19bc9f20b2a1bd3","source":{"kind":"arxiv","id":"cond-mat/0209676","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0209676","created_at":"2026-05-18T03:24:32Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0209676v1","created_at":"2026-05-18T03:24:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0209676","created_at":"2026-05-18T03:24:32Z"},{"alias_kind":"pith_short_12","alias_value":"2QERN5ULJZSJ","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"2QERN5ULJZSJWN5U","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"2QERN5UL","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:2QERN5ULJZSJWN5U6BI2UJOMWE","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0209676","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.soft","submitted_at":"2002-09-30T13:15:41Z","cross_cats_sorted":[],"title_canon_sha256":"f7fc60cb83c782b2e492da1e0621402d7fd0001d21588c47c7c88c8897d6dc04","abstract_canon_sha256":"ec2ce2f59028a6add30f117ab312431641c329f88ce6ae766be1a292cba30ff8"},"schema_version":"1.0"},"canonical_sha256":"d40916f68b4e649b37b4f051aa25ccb13a93d71d31ed37c2e19bc9f20b2a1bd3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:24:32.769900Z","signature_b64":"aTBLJSoyl5KssaZc+F2UvF6Y0P9fcSK7mYhm3ggJCsSi7AWGsOw102omMbvvmYWCFEKOWMuyQfW22LyurWTvAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d40916f68b4e649b37b4f051aa25ccb13a93d71d31ed37c2e19bc9f20b2a1bd3","last_reissued_at":"2026-05-18T03:24:32.769112Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:24:32.769112Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0209676","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":"2026-05-18T03:24:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GTiibEQO9Gdz5LXBbdmvTO6+HdUaNlzu/C7x/TKPmovFuNixG73PjeBVz+ZF1Up5hpmidLlwClf5eejemyXyAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T10:39:29.346885Z"},"content_sha256":"9722f94b05cfc54ba1ff8f4bf61d7ed711c8d391f89c304d40f699bd51189890","schema_version":"1.0","event_id":"sha256:9722f94b05cfc54ba1ff8f4bf61d7ed711c8d391f89c304d40f699bd51189890"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:2QERN5ULJZSJWN5U6BI2UJOMWE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Superfluid-Mott Insulator Transition of Spin-1 Bosons in an Optical Lattice","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Shunji Tsuchiya, Susumu Kurihara, Takashi Kimura","submitted_at":"2002-09-30T13:15:41Z","abstract_excerpt":"We have studied superfluid-Mott insulating transition of spin-1 bosons interacting antiferromagnetically in an optical lattice. We have obtained the zero-temperature phase diagram by a mean-field approximation and have found that the superfluid phase is to be a polar state as a usual trapped spin-1 Bose gas. More interestingly, we have found that the Mott-insulating phase is strongly stabilized only when the number of atoms per site is even."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0209676","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":"2026-05-18T03:24:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2MexHBbZwEREfDqnL6+KDt3m0hL7DKZvDFBWCuH/zVNrVZO1mvj4kAuTJnUVnI6UAWHNEWB0IuoYdpC3naeNCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T10:39:29.347216Z"},"content_sha256":"dd62b4a63b0d87297cec90b45f9d6d4ea1dc8d025d27fe18e6e23bb54b23d408","schema_version":"1.0","event_id":"sha256:dd62b4a63b0d87297cec90b45f9d6d4ea1dc8d025d27fe18e6e23bb54b23d408"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2QERN5ULJZSJWN5U6BI2UJOMWE/bundle.json","state_url":"https://pith.science/pith/2QERN5ULJZSJWN5U6BI2UJOMWE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2QERN5ULJZSJWN5U6BI2UJOMWE/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":"2026-06-28T10:39:29Z","links":{"resolver":"https://pith.science/pith/2QERN5ULJZSJWN5U6BI2UJOMWE","bundle":"https://pith.science/pith/2QERN5ULJZSJWN5U6BI2UJOMWE/bundle.json","state":"https://pith.science/pith/2QERN5ULJZSJWN5U6BI2UJOMWE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2QERN5ULJZSJWN5U6BI2UJOMWE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:2QERN5ULJZSJWN5U6BI2UJOMWE","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":"ec2ce2f59028a6add30f117ab312431641c329f88ce6ae766be1a292cba30ff8","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.soft","submitted_at":"2002-09-30T13:15:41Z","title_canon_sha256":"f7fc60cb83c782b2e492da1e0621402d7fd0001d21588c47c7c88c8897d6dc04"},"schema_version":"1.0","source":{"id":"cond-mat/0209676","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0209676","created_at":"2026-05-18T03:24:32Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0209676v1","created_at":"2026-05-18T03:24:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0209676","created_at":"2026-05-18T03:24:32Z"},{"alias_kind":"pith_short_12","alias_value":"2QERN5ULJZSJ","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"2QERN5ULJZSJWN5U","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"2QERN5UL","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:dd62b4a63b0d87297cec90b45f9d6d4ea1dc8d025d27fe18e6e23bb54b23d408","target":"graph","created_at":"2026-05-18T03:24:32Z","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 studied superfluid-Mott insulating transition of spin-1 bosons interacting antiferromagnetically in an optical lattice. We have obtained the zero-temperature phase diagram by a mean-field approximation and have found that the superfluid phase is to be a polar state as a usual trapped spin-1 Bose gas. More interestingly, we have found that the Mott-insulating phase is strongly stabilized only when the number of atoms per site is even.","authors_text":"Shunji Tsuchiya, Susumu Kurihara, Takashi Kimura","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.soft","submitted_at":"2002-09-30T13:15:41Z","title":"Superfluid-Mott Insulator Transition of Spin-1 Bosons in an Optical Lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0209676","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":"sha256:9722f94b05cfc54ba1ff8f4bf61d7ed711c8d391f89c304d40f699bd51189890","target":"record","created_at":"2026-05-18T03:24:32Z","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":"ec2ce2f59028a6add30f117ab312431641c329f88ce6ae766be1a292cba30ff8","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.soft","submitted_at":"2002-09-30T13:15:41Z","title_canon_sha256":"f7fc60cb83c782b2e492da1e0621402d7fd0001d21588c47c7c88c8897d6dc04"},"schema_version":"1.0","source":{"id":"cond-mat/0209676","kind":"arxiv","version":1}},"canonical_sha256":"d40916f68b4e649b37b4f051aa25ccb13a93d71d31ed37c2e19bc9f20b2a1bd3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d40916f68b4e649b37b4f051aa25ccb13a93d71d31ed37c2e19bc9f20b2a1bd3","first_computed_at":"2026-05-18T03:24:32.769112Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:24:32.769112Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aTBLJSoyl5KssaZc+F2UvF6Y0P9fcSK7mYhm3ggJCsSi7AWGsOw102omMbvvmYWCFEKOWMuyQfW22LyurWTvAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:24:32.769900Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0209676","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9722f94b05cfc54ba1ff8f4bf61d7ed711c8d391f89c304d40f699bd51189890","sha256:dd62b4a63b0d87297cec90b45f9d6d4ea1dc8d025d27fe18e6e23bb54b23d408"],"state_sha256":"2c8c794b9d3dc26b4865661c8938ccece4d7120189ed21a7feb5252d3947e360"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NB0fFk4aFHF3P0csxvNZyQYdN+dSPe1szkKY6o32t3tQ2UktMFdlfdmp2ypVyW7r0PzN+0GpccAbunTPnpyJCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T10:39:29.349067Z","bundle_sha256":"d7c9fed3cd5a95d144b96ba5c3361b05bee9b66b279f539221b4cd436003265d"}}