{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:TOPQLQQKGOBTNUDN7DH7I6PBAQ","short_pith_number":"pith:TOPQLQQK","canonical_record":{"source":{"id":"1604.06125","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-20T21:18:05Z","cross_cats_sorted":["cond-mat.str-el","math-ph","math.MP"],"title_canon_sha256":"a15ab3a1c7bf1e256e9a8e123c9a1965adfd06246511c13b64487fb4f1f19d08","abstract_canon_sha256":"c5fda90058db3f3fc7c761153b6ad8dd5559f03fe4e25ba27eb153ef35af82f8"},"schema_version":"1.0"},"canonical_sha256":"9b9f05c20a338336d06df8cff479e1042056371aeab855918b93f3ecbed67d28","source":{"kind":"arxiv","id":"1604.06125","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.06125","created_at":"2026-05-18T01:09:45Z"},{"alias_kind":"arxiv_version","alias_value":"1604.06125v2","created_at":"2026-05-18T01:09:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.06125","created_at":"2026-05-18T01:09:45Z"},{"alias_kind":"pith_short_12","alias_value":"TOPQLQQKGOBT","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"TOPQLQQKGOBTNUDN","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"TOPQLQQK","created_at":"2026-05-18T12:30:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:TOPQLQQKGOBTNUDN7DH7I6PBAQ","target":"record","payload":{"canonical_record":{"source":{"id":"1604.06125","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-20T21:18:05Z","cross_cats_sorted":["cond-mat.str-el","math-ph","math.MP"],"title_canon_sha256":"a15ab3a1c7bf1e256e9a8e123c9a1965adfd06246511c13b64487fb4f1f19d08","abstract_canon_sha256":"c5fda90058db3f3fc7c761153b6ad8dd5559f03fe4e25ba27eb153ef35af82f8"},"schema_version":"1.0"},"canonical_sha256":"9b9f05c20a338336d06df8cff479e1042056371aeab855918b93f3ecbed67d28","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:45.381300Z","signature_b64":"nfUbhUkZRPam5X4j9sQvgStDfXSX8PmFuo+cK4h5dgKLuNeThmerxTDyc50Ltf8ScKo59DL7kENlg8G3hpL6Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9b9f05c20a338336d06df8cff479e1042056371aeab855918b93f3ecbed67d28","last_reissued_at":"2026-05-18T01:09:45.380729Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:45.380729Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.06125","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":"2026-05-18T01:09:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DWUiFN5iYr8bR1PLTOo+QSSTxEnOw0KHqCj7j6Ixt+kUVAb8DZhMpO1vejdnlDDrKH8/XWnLh2qed7WzrB5sAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T13:23:17.127058Z"},"content_sha256":"847f9761a3b48a0cccb7da46febcfeaac55e8adb6cc6b8cc638fdccae02249f9","schema_version":"1.0","event_id":"sha256:847f9761a3b48a0cccb7da46febcfeaac55e8adb6cc6b8cc638fdccae02249f9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:TOPQLQQKGOBTNUDN7DH7I6PBAQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Collective coordinate quantization and spin statistics of the solitons in the $\\mathbb{C}P^N$ Skyrme-Faddeev model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Nobuyuki Sawado, Pawel Klimas, Yuki Amari","submitted_at":"2016-04-20T21:18:05Z","abstract_excerpt":"The $\\mathbb{C}P^N$ extended Skyrme-Faddeev model possesses planar soliton solutions. We consider quantum aspects of the solutions applying collective coordinate quantization in regime of rigid body approximation. In order to discuss statistical properties of the solutions we include an Abelian Chern-Simons term (the Hopf term) in the Lagrangian. Since $\\Pi_3(\\mathbb{C}P^1)=\\mathbb{Z}$ then for $N=1$ the term becomes an integer. On the other hand for $N>1$ it became perturbative because $\\Pi_3(\\mathbb{C}P^N)$ is trivial. The prefactor of the Hopf term (anyon angle) $\\Theta$ is not quantized an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.06125","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":"2026-05-18T01:09:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8DqA3RwRw1x78Di0mqRbzuQnwYAhTVkU89BTjlj+k+i3d4Ouvx56Pt2l1uMg+Paf92/FiG9cLD2Vh8RIS+E9Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T13:23:17.127770Z"},"content_sha256":"ff1cc284a190ab553d1e9987c4e80530b5814a130944d5741ca4b51e0fd325c0","schema_version":"1.0","event_id":"sha256:ff1cc284a190ab553d1e9987c4e80530b5814a130944d5741ca4b51e0fd325c0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TOPQLQQKGOBTNUDN7DH7I6PBAQ/bundle.json","state_url":"https://pith.science/pith/TOPQLQQKGOBTNUDN7DH7I6PBAQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TOPQLQQKGOBTNUDN7DH7I6PBAQ/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":"2026-06-01T13:23:17Z","links":{"resolver":"https://pith.science/pith/TOPQLQQKGOBTNUDN7DH7I6PBAQ","bundle":"https://pith.science/pith/TOPQLQQKGOBTNUDN7DH7I6PBAQ/bundle.json","state":"https://pith.science/pith/TOPQLQQKGOBTNUDN7DH7I6PBAQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TOPQLQQKGOBTNUDN7DH7I6PBAQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:TOPQLQQKGOBTNUDN7DH7I6PBAQ","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":"c5fda90058db3f3fc7c761153b6ad8dd5559f03fe4e25ba27eb153ef35af82f8","cross_cats_sorted":["cond-mat.str-el","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-20T21:18:05Z","title_canon_sha256":"a15ab3a1c7bf1e256e9a8e123c9a1965adfd06246511c13b64487fb4f1f19d08"},"schema_version":"1.0","source":{"id":"1604.06125","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.06125","created_at":"2026-05-18T01:09:45Z"},{"alias_kind":"arxiv_version","alias_value":"1604.06125v2","created_at":"2026-05-18T01:09:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.06125","created_at":"2026-05-18T01:09:45Z"},{"alias_kind":"pith_short_12","alias_value":"TOPQLQQKGOBT","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"TOPQLQQKGOBTNUDN","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"TOPQLQQK","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:ff1cc284a190ab553d1e9987c4e80530b5814a130944d5741ca4b51e0fd325c0","target":"graph","created_at":"2026-05-18T01:09:45Z","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":"The $\\mathbb{C}P^N$ extended Skyrme-Faddeev model possesses planar soliton solutions. We consider quantum aspects of the solutions applying collective coordinate quantization in regime of rigid body approximation. In order to discuss statistical properties of the solutions we include an Abelian Chern-Simons term (the Hopf term) in the Lagrangian. Since $\\Pi_3(\\mathbb{C}P^1)=\\mathbb{Z}$ then for $N=1$ the term becomes an integer. On the other hand for $N>1$ it became perturbative because $\\Pi_3(\\mathbb{C}P^N)$ is trivial. The prefactor of the Hopf term (anyon angle) $\\Theta$ is not quantized an","authors_text":"Nobuyuki Sawado, Pawel Klimas, Yuki Amari","cross_cats":["cond-mat.str-el","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-20T21:18:05Z","title":"Collective coordinate quantization and spin statistics of the solitons in the $\\mathbb{C}P^N$ Skyrme-Faddeev model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.06125","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":"sha256:847f9761a3b48a0cccb7da46febcfeaac55e8adb6cc6b8cc638fdccae02249f9","target":"record","created_at":"2026-05-18T01:09:45Z","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":"c5fda90058db3f3fc7c761153b6ad8dd5559f03fe4e25ba27eb153ef35af82f8","cross_cats_sorted":["cond-mat.str-el","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-20T21:18:05Z","title_canon_sha256":"a15ab3a1c7bf1e256e9a8e123c9a1965adfd06246511c13b64487fb4f1f19d08"},"schema_version":"1.0","source":{"id":"1604.06125","kind":"arxiv","version":2}},"canonical_sha256":"9b9f05c20a338336d06df8cff479e1042056371aeab855918b93f3ecbed67d28","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9b9f05c20a338336d06df8cff479e1042056371aeab855918b93f3ecbed67d28","first_computed_at":"2026-05-18T01:09:45.380729Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:45.380729Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nfUbhUkZRPam5X4j9sQvgStDfXSX8PmFuo+cK4h5dgKLuNeThmerxTDyc50Ltf8ScKo59DL7kENlg8G3hpL6Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:45.381300Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.06125","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:847f9761a3b48a0cccb7da46febcfeaac55e8adb6cc6b8cc638fdccae02249f9","sha256:ff1cc284a190ab553d1e9987c4e80530b5814a130944d5741ca4b51e0fd325c0"],"state_sha256":"86ad8a434b9f04615d01a005d826b3fcab6c836a4105969260b015a917c2eda3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pZPOY28hpB4S6B5mpzJ3MP0/ZZMjw6yHb//m6IprrILXlm82FnxLIXkCLMoh6/1wuAGeJheeqp7gJ6G8jfd/BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T13:23:17.130957Z","bundle_sha256":"87a77c5fc2f0a7e7ede540f5c3bc429a409e6676c464867b1ec9c765bd6a9d01"}}