{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:IB5N5EAZJPB7T6EWF3LCU5DS32","short_pith_number":"pith:IB5N5EAZ","canonical_record":{"source":{"id":"1108.6042","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-08-30T19:21:22Z","cross_cats_sorted":[],"title_canon_sha256":"c04142f268506c1a8fc26b010ed7afc513cca67dabcffc720c72382981911ff9","abstract_canon_sha256":"13f24aec90d73003a51c6f2562eb911017ded8eca7a789ab812df9bc27927655"},"schema_version":"1.0"},"canonical_sha256":"407ade90194bc3f9f8962ed62a7472deafa12b139582206be9af64dc5e522f99","source":{"kind":"arxiv","id":"1108.6042","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.6042","created_at":"2026-05-18T02:00:44Z"},{"alias_kind":"arxiv_version","alias_value":"1108.6042v1","created_at":"2026-05-18T02:00:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.6042","created_at":"2026-05-18T02:00:44Z"},{"alias_kind":"pith_short_12","alias_value":"IB5N5EAZJPB7","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"IB5N5EAZJPB7T6EW","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"IB5N5EAZ","created_at":"2026-05-18T12:26:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:IB5N5EAZJPB7T6EWF3LCU5DS32","target":"record","payload":{"canonical_record":{"source":{"id":"1108.6042","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-08-30T19:21:22Z","cross_cats_sorted":[],"title_canon_sha256":"c04142f268506c1a8fc26b010ed7afc513cca67dabcffc720c72382981911ff9","abstract_canon_sha256":"13f24aec90d73003a51c6f2562eb911017ded8eca7a789ab812df9bc27927655"},"schema_version":"1.0"},"canonical_sha256":"407ade90194bc3f9f8962ed62a7472deafa12b139582206be9af64dc5e522f99","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:00:44.538354Z","signature_b64":"fDWR4a43QtZ5+7w4yeilWTP0aS9w71ZNQ+Ek9vT6iQHhs0RbjQYlwvTXHweZMpIKgW2OxLSvnblhBWUGT1RECA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"407ade90194bc3f9f8962ed62a7472deafa12b139582206be9af64dc5e522f99","last_reissued_at":"2026-05-18T02:00:44.537738Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:00:44.537738Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1108.6042","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":"2026-05-18T02:00:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1MVW+oEYcKQi6mnoE7AS/r8ZSA6M7/xiAksZwR2oE80Lf+a+rA5l041Pl8tqvSFmp79F3NF7aygdVlInafYZCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T04:59:51.017193Z"},"content_sha256":"0f024ca8151ac954029e913d868089af1fe2a93b3cd780a65c90ca9da0812c66","schema_version":"1.0","event_id":"sha256:0f024ca8151ac954029e913d868089af1fe2a93b3cd780a65c90ca9da0812c66"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:IB5N5EAZJPB7T6EWF3LCU5DS32","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Inert-states of spin-5 and spin-6 Bose-Einstein condensates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Krzysztof Sacha, Marcin Fizia","submitted_at":"2011-08-30T19:21:22Z","abstract_excerpt":"In this paper we consider spinor Bose-Einstein condensates with spin f=5 and f=6 in the presence and absence of external magnetic field at the mean field level. We calculate all of so-called inert-states of these systems. Inert-states are very unique class of stationary states because they remain stationary while Hamiltonian parameters change. Their existence comes from Michel's theorem. For illustration of symmetry properties of the inert-states we use method that allows classification of the systems as a polyhedron with 2f vertices proposed by R. Barnett et al., Phys. Rev. Lett. 97, 180412 ("},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.6042","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":"2026-05-18T02:00:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iT5cm8PTxAMkiQtxtIeVIfWYLlQRamqsY+gkXDBaAgMHpMI/QmVNpCR89OcbLf+R+qctMeM3ZnSxMboStfKfBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T04:59:51.017763Z"},"content_sha256":"12039d20e67cc4e52bd8017a59edb4b25b556854a911a953f56e89c8c7c2db5b","schema_version":"1.0","event_id":"sha256:12039d20e67cc4e52bd8017a59edb4b25b556854a911a953f56e89c8c7c2db5b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IB5N5EAZJPB7T6EWF3LCU5DS32/bundle.json","state_url":"https://pith.science/pith/IB5N5EAZJPB7T6EWF3LCU5DS32/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IB5N5EAZJPB7T6EWF3LCU5DS32/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":"2026-06-12T04:59:51Z","links":{"resolver":"https://pith.science/pith/IB5N5EAZJPB7T6EWF3LCU5DS32","bundle":"https://pith.science/pith/IB5N5EAZJPB7T6EWF3LCU5DS32/bundle.json","state":"https://pith.science/pith/IB5N5EAZJPB7T6EWF3LCU5DS32/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IB5N5EAZJPB7T6EWF3LCU5DS32/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:IB5N5EAZJPB7T6EWF3LCU5DS32","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":"13f24aec90d73003a51c6f2562eb911017ded8eca7a789ab812df9bc27927655","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-08-30T19:21:22Z","title_canon_sha256":"c04142f268506c1a8fc26b010ed7afc513cca67dabcffc720c72382981911ff9"},"schema_version":"1.0","source":{"id":"1108.6042","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.6042","created_at":"2026-05-18T02:00:44Z"},{"alias_kind":"arxiv_version","alias_value":"1108.6042v1","created_at":"2026-05-18T02:00:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.6042","created_at":"2026-05-18T02:00:44Z"},{"alias_kind":"pith_short_12","alias_value":"IB5N5EAZJPB7","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"IB5N5EAZJPB7T6EW","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"IB5N5EAZ","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:12039d20e67cc4e52bd8017a59edb4b25b556854a911a953f56e89c8c7c2db5b","target":"graph","created_at":"2026-05-18T02:00:44Z","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 consider spinor Bose-Einstein condensates with spin f=5 and f=6 in the presence and absence of external magnetic field at the mean field level. We calculate all of so-called inert-states of these systems. Inert-states are very unique class of stationary states because they remain stationary while Hamiltonian parameters change. Their existence comes from Michel's theorem. For illustration of symmetry properties of the inert-states we use method that allows classification of the systems as a polyhedron with 2f vertices proposed by R. Barnett et al., Phys. Rev. Lett. 97, 180412 (","authors_text":"Krzysztof Sacha, Marcin Fizia","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-08-30T19:21:22Z","title":"Inert-states of spin-5 and spin-6 Bose-Einstein condensates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.6042","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":"sha256:0f024ca8151ac954029e913d868089af1fe2a93b3cd780a65c90ca9da0812c66","target":"record","created_at":"2026-05-18T02:00:44Z","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":"13f24aec90d73003a51c6f2562eb911017ded8eca7a789ab812df9bc27927655","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-08-30T19:21:22Z","title_canon_sha256":"c04142f268506c1a8fc26b010ed7afc513cca67dabcffc720c72382981911ff9"},"schema_version":"1.0","source":{"id":"1108.6042","kind":"arxiv","version":1}},"canonical_sha256":"407ade90194bc3f9f8962ed62a7472deafa12b139582206be9af64dc5e522f99","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"407ade90194bc3f9f8962ed62a7472deafa12b139582206be9af64dc5e522f99","first_computed_at":"2026-05-18T02:00:44.537738Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:44.537738Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fDWR4a43QtZ5+7w4yeilWTP0aS9w71ZNQ+Ek9vT6iQHhs0RbjQYlwvTXHweZMpIKgW2OxLSvnblhBWUGT1RECA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:44.538354Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.6042","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f024ca8151ac954029e913d868089af1fe2a93b3cd780a65c90ca9da0812c66","sha256:12039d20e67cc4e52bd8017a59edb4b25b556854a911a953f56e89c8c7c2db5b"],"state_sha256":"4dc47c7f475d0f21e2df64ecf4aa6055e76aefc6c9e5c0983324d57604e898a2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xWSDjfZTMNGCBVuzOx6hSeVbYEpZx5Tv9j/3FbaaJamHs3/rg66fPdtFBhqu1ljp0B1SvN+kLzch+alKBup/Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T04:59:51.020454Z","bundle_sha256":"50db58a76351809b4ade533bb4e5cd505cf451fd50e9db08d89c1f478161cec8"}}