{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:XNUTRCGYRQG5ITPNMPWIJQ4ESG","short_pith_number":"pith:XNUTRCGY","canonical_record":{"source":{"id":"1402.2759","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-02-12T08:26:07Z","cross_cats_sorted":["hep-th","math-ph","math.MP","nlin.SI"],"title_canon_sha256":"a7db7ba1632e45a13c3a3355133437e842a8d9594b88f39f4fcafaa9434df681","abstract_canon_sha256":"c8449942d454868accebf460132ea68e9ad57f573c6c8a01d045cf0bd77da7dd"},"schema_version":"1.0"},"canonical_sha256":"bb693888d88c0dd44ded63ec84c38491bdbfcf58f4e28d737f029febdbf788c9","source":{"kind":"arxiv","id":"1402.2759","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.2759","created_at":"2026-05-18T01:44:45Z"},{"alias_kind":"arxiv_version","alias_value":"1402.2759v2","created_at":"2026-05-18T01:44:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.2759","created_at":"2026-05-18T01:44:45Z"},{"alias_kind":"pith_short_12","alias_value":"XNUTRCGYRQG5","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XNUTRCGYRQG5ITPN","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XNUTRCGY","created_at":"2026-05-18T12:28:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:XNUTRCGYRQG5ITPNMPWIJQ4ESG","target":"record","payload":{"canonical_record":{"source":{"id":"1402.2759","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-02-12T08:26:07Z","cross_cats_sorted":["hep-th","math-ph","math.MP","nlin.SI"],"title_canon_sha256":"a7db7ba1632e45a13c3a3355133437e842a8d9594b88f39f4fcafaa9434df681","abstract_canon_sha256":"c8449942d454868accebf460132ea68e9ad57f573c6c8a01d045cf0bd77da7dd"},"schema_version":"1.0"},"canonical_sha256":"bb693888d88c0dd44ded63ec84c38491bdbfcf58f4e28d737f029febdbf788c9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:44:45.038136Z","signature_b64":"+lsFH49GsEqm14xfM/kjkNNIXWuDZp0lg+mr6qmy+xNfFISTO2cN2W2AvuwMOYh5SdVfWCcS7D+2JqUCNXO+Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bb693888d88c0dd44ded63ec84c38491bdbfcf58f4e28d737f029febdbf788c9","last_reissued_at":"2026-05-18T01:44:45.037569Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:44:45.037569Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.2759","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":"2026-05-18T01:44:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1ui3uDhR162e3iNjUZL/3LZvIvqpMFP9L3n/U994S+exPukpgSCqzfWZZ+s6HhRFjex3g1XJRQlv+O4SedqbDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T22:58:50.679893Z"},"content_sha256":"c1fe02e4e419c5fa085e468343a8042e36347594fb058cae3ac58178181f4cb2","schema_version":"1.0","event_id":"sha256:c1fe02e4e419c5fa085e468343a8042e36347594fb058cae3ac58178181f4cb2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:XNUTRCGYRQG5ITPNMPWIJQ4ESG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Partition functions of Polychronakos like spin chains associated with polarized spin reversal operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP","nlin.SI"],"primary_cat":"cond-mat.stat-mech","authors_text":"B. Basu-Mallick, Nilanjan Bondyopadhaya, Pratyay Banerjee","submitted_at":"2014-02-12T08:26:07Z","abstract_excerpt":"We construct polarized spin reversal operator (PSRO) which yields a class of representations for the $BC_N$ type of Weyl algebra, and subsequently use this PSRO to find out novel exactly solvable variants of the $BC_N$ type of spin Calogero model. The strong coupling limit of such spin Calogero models generates the $BC_N$ type of Polychronakos spin chains with PSRO. We derive the exact spectra of the $BC_N$ type of spin Calogero models with PSRO and compute the partition functions of the related spin chains by using the freezing trick. We also find out an interesting relation between the parti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.2759","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":"2026-05-18T01:44:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JQcBmKiT3w8brIeQN203UqY1HzvwX1qSJ/tXIIPr8xU8fSt6tw/yl/Bs1HQVrby3+C4thnelRNttl4ezXYUfAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T22:58:50.680611Z"},"content_sha256":"5c0604ea4537f42e0756f5d93acf35d71219d2a57cce20be1f433a34a0e92e99","schema_version":"1.0","event_id":"sha256:5c0604ea4537f42e0756f5d93acf35d71219d2a57cce20be1f433a34a0e92e99"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XNUTRCGYRQG5ITPNMPWIJQ4ESG/bundle.json","state_url":"https://pith.science/pith/XNUTRCGYRQG5ITPNMPWIJQ4ESG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XNUTRCGYRQG5ITPNMPWIJQ4ESG/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":"2026-05-27T22:58:50Z","links":{"resolver":"https://pith.science/pith/XNUTRCGYRQG5ITPNMPWIJQ4ESG","bundle":"https://pith.science/pith/XNUTRCGYRQG5ITPNMPWIJQ4ESG/bundle.json","state":"https://pith.science/pith/XNUTRCGYRQG5ITPNMPWIJQ4ESG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XNUTRCGYRQG5ITPNMPWIJQ4ESG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:XNUTRCGYRQG5ITPNMPWIJQ4ESG","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":"c8449942d454868accebf460132ea68e9ad57f573c6c8a01d045cf0bd77da7dd","cross_cats_sorted":["hep-th","math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-02-12T08:26:07Z","title_canon_sha256":"a7db7ba1632e45a13c3a3355133437e842a8d9594b88f39f4fcafaa9434df681"},"schema_version":"1.0","source":{"id":"1402.2759","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.2759","created_at":"2026-05-18T01:44:45Z"},{"alias_kind":"arxiv_version","alias_value":"1402.2759v2","created_at":"2026-05-18T01:44:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.2759","created_at":"2026-05-18T01:44:45Z"},{"alias_kind":"pith_short_12","alias_value":"XNUTRCGYRQG5","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XNUTRCGYRQG5ITPN","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XNUTRCGY","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:5c0604ea4537f42e0756f5d93acf35d71219d2a57cce20be1f433a34a0e92e99","target":"graph","created_at":"2026-05-18T01:44:45Z","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":"We construct polarized spin reversal operator (PSRO) which yields a class of representations for the $BC_N$ type of Weyl algebra, and subsequently use this PSRO to find out novel exactly solvable variants of the $BC_N$ type of spin Calogero model. The strong coupling limit of such spin Calogero models generates the $BC_N$ type of Polychronakos spin chains with PSRO. We derive the exact spectra of the $BC_N$ type of spin Calogero models with PSRO and compute the partition functions of the related spin chains by using the freezing trick. We also find out an interesting relation between the parti","authors_text":"B. Basu-Mallick, Nilanjan Bondyopadhaya, Pratyay Banerjee","cross_cats":["hep-th","math-ph","math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-02-12T08:26:07Z","title":"Partition functions of Polychronakos like spin chains associated with polarized spin reversal operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.2759","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:c1fe02e4e419c5fa085e468343a8042e36347594fb058cae3ac58178181f4cb2","target":"record","created_at":"2026-05-18T01:44:45Z","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":"c8449942d454868accebf460132ea68e9ad57f573c6c8a01d045cf0bd77da7dd","cross_cats_sorted":["hep-th","math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-02-12T08:26:07Z","title_canon_sha256":"a7db7ba1632e45a13c3a3355133437e842a8d9594b88f39f4fcafaa9434df681"},"schema_version":"1.0","source":{"id":"1402.2759","kind":"arxiv","version":2}},"canonical_sha256":"bb693888d88c0dd44ded63ec84c38491bdbfcf58f4e28d737f029febdbf788c9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bb693888d88c0dd44ded63ec84c38491bdbfcf58f4e28d737f029febdbf788c9","first_computed_at":"2026-05-18T01:44:45.037569Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:44:45.037569Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+lsFH49GsEqm14xfM/kjkNNIXWuDZp0lg+mr6qmy+xNfFISTO2cN2W2AvuwMOYh5SdVfWCcS7D+2JqUCNXO+Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:44:45.038136Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.2759","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c1fe02e4e419c5fa085e468343a8042e36347594fb058cae3ac58178181f4cb2","sha256:5c0604ea4537f42e0756f5d93acf35d71219d2a57cce20be1f433a34a0e92e99"],"state_sha256":"7febf703b15c43866fa49120dad3103891a4ad2dfb25fe206959701ebf6f8988"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zZuVKscx+50AvkA1GL2+ug2SgEVo5SKo/mOKWz0tN0fNbTnLwZnaXC5ieNI3fTt1PWvYzsgo7/R+Jtt7AM8jCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T22:58:50.684257Z","bundle_sha256":"82f4e7d6e92a910d09be591915edef664aee63d160be9d1c7443dda042d432f0"}}