{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:ETOYM3OK7WYQCRWT346R3X3CPD","short_pith_number":"pith:ETOYM3OK","canonical_record":{"source":{"id":"math-ph/9904033","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"1999-04-28T09:25:10Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP","nlin.SI","solv-int"],"title_canon_sha256":"4bf765c2d07d2e943a448b3d65a30d18df19622a64dca71b277d218414045621","abstract_canon_sha256":"fec9b673672208495ed82901f61cbdb56712177023fd5bc3382367c218a47f27"},"schema_version":"1.0"},"canonical_sha256":"24dd866dcafdb10146d3df3d1ddf6278e015f8b4ac7c658d7734be73ab4bc5b2","source":{"kind":"arxiv","id":"math-ph/9904033","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/9904033","created_at":"2026-05-18T01:38:30Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/9904033v2","created_at":"2026-05-18T01:38:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/9904033","created_at":"2026-05-18T01:38:30Z"},{"alias_kind":"pith_short_12","alias_value":"ETOYM3OK7WYQ","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"ETOYM3OK7WYQCRWT","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"ETOYM3OK","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:ETOYM3OK7WYQCRWT346R3X3CPD","target":"record","payload":{"canonical_record":{"source":{"id":"math-ph/9904033","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"1999-04-28T09:25:10Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP","nlin.SI","solv-int"],"title_canon_sha256":"4bf765c2d07d2e943a448b3d65a30d18df19622a64dca71b277d218414045621","abstract_canon_sha256":"fec9b673672208495ed82901f61cbdb56712177023fd5bc3382367c218a47f27"},"schema_version":"1.0"},"canonical_sha256":"24dd866dcafdb10146d3df3d1ddf6278e015f8b4ac7c658d7734be73ab4bc5b2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:30.591505Z","signature_b64":"UmH23ePWQhE0BlFgRSE2ge+fWXjkJe4vvyvr27iAgnHd1I18taT0uVP+o3Rv8AA7crnYTDQZBrW8PSP6aOEZAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"24dd866dcafdb10146d3df3d1ddf6278e015f8b4ac7c658d7734be73ab4bc5b2","last_reissued_at":"2026-05-18T01:38:30.591029Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:30.591029Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math-ph/9904033","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":"2026-05-18T01:38:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ax7bwumCQcS5+iyxR/GgZgswPuJfo35FW3DJHkqOe2cVsY6MowmXkGsWZFT4223cFCvSQMKB04ru0flG3zG0DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T21:43:47.434999Z"},"content_sha256":"55d38e28558b8220f0dd5a57bda1ed1e7fdc7a6ab928960d753d618d0a330c2c","schema_version":"1.0","event_id":"sha256:55d38e28558b8220f0dd5a57bda1ed1e7fdc7a6ab928960d753d618d0a330c2c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:ETOYM3OK7WYQCRWT346R3X3CPD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Supersymmetric Polychronakos Spin Chain: Motif, Distribution Function, and Character","license":"","headline":"","cross_cats":["cond-mat.stat-mech","hep-th","math.MP","nlin.SI","solv-int"],"primary_cat":"math-ph","authors_text":"B. Basu-Mallick, Kazuhiro Hikami","submitted_at":"1999-04-28T09:25:10Z","abstract_excerpt":"Degeneracy patterns and hyper-multiplet structure in the spectrum of the su($m|n$) supersymmetric Polychronakos spin chain are studied by use of the \"motif''. Using the recursion relation of the supersymmetric Rogers-Szeg{\\\"o} polynomials which are closely related to the partition function of the $N$ spin chain, we give the representation for motif in terms of the supersymmetric skew Young diagrams. We also study the distribution function for quasi-particles. The character formulae for $N\\to \\infty$ are briefly discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/9904033","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":"2026-05-18T01:38:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jfnDSXe3Q+ZsiTHYZcNa9Mtp+EttNkq9mmd+qyCkCfDkSYFl20sH1E2wh/IhDmJC4Vp8zNH2ILbL+td7C2pKBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T21:43:47.435396Z"},"content_sha256":"9b83a6a01649ba34ac4d6172ff8666683876fd1cc7e3b43771a7e7ce3d966a4c","schema_version":"1.0","event_id":"sha256:9b83a6a01649ba34ac4d6172ff8666683876fd1cc7e3b43771a7e7ce3d966a4c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ETOYM3OK7WYQCRWT346R3X3CPD/bundle.json","state_url":"https://pith.science/pith/ETOYM3OK7WYQCRWT346R3X3CPD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ETOYM3OK7WYQCRWT346R3X3CPD/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":"2026-06-02T21:43:47Z","links":{"resolver":"https://pith.science/pith/ETOYM3OK7WYQCRWT346R3X3CPD","bundle":"https://pith.science/pith/ETOYM3OK7WYQCRWT346R3X3CPD/bundle.json","state":"https://pith.science/pith/ETOYM3OK7WYQCRWT346R3X3CPD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ETOYM3OK7WYQCRWT346R3X3CPD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:ETOYM3OK7WYQCRWT346R3X3CPD","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":"fec9b673672208495ed82901f61cbdb56712177023fd5bc3382367c218a47f27","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP","nlin.SI","solv-int"],"license":"","primary_cat":"math-ph","submitted_at":"1999-04-28T09:25:10Z","title_canon_sha256":"4bf765c2d07d2e943a448b3d65a30d18df19622a64dca71b277d218414045621"},"schema_version":"1.0","source":{"id":"math-ph/9904033","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/9904033","created_at":"2026-05-18T01:38:30Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/9904033v2","created_at":"2026-05-18T01:38:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/9904033","created_at":"2026-05-18T01:38:30Z"},{"alias_kind":"pith_short_12","alias_value":"ETOYM3OK7WYQ","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"ETOYM3OK7WYQCRWT","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"ETOYM3OK","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:9b83a6a01649ba34ac4d6172ff8666683876fd1cc7e3b43771a7e7ce3d966a4c","target":"graph","created_at":"2026-05-18T01:38:30Z","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":"Degeneracy patterns and hyper-multiplet structure in the spectrum of the su($m|n$) supersymmetric Polychronakos spin chain are studied by use of the \"motif''. Using the recursion relation of the supersymmetric Rogers-Szeg{\\\"o} polynomials which are closely related to the partition function of the $N$ spin chain, we give the representation for motif in terms of the supersymmetric skew Young diagrams. We also study the distribution function for quasi-particles. The character formulae for $N\\to \\infty$ are briefly discussed.","authors_text":"B. Basu-Mallick, Kazuhiro Hikami","cross_cats":["cond-mat.stat-mech","hep-th","math.MP","nlin.SI","solv-int"],"headline":"","license":"","primary_cat":"math-ph","submitted_at":"1999-04-28T09:25:10Z","title":"Supersymmetric Polychronakos Spin Chain: Motif, Distribution Function, and Character"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/9904033","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":"sha256:55d38e28558b8220f0dd5a57bda1ed1e7fdc7a6ab928960d753d618d0a330c2c","target":"record","created_at":"2026-05-18T01:38:30Z","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":"fec9b673672208495ed82901f61cbdb56712177023fd5bc3382367c218a47f27","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP","nlin.SI","solv-int"],"license":"","primary_cat":"math-ph","submitted_at":"1999-04-28T09:25:10Z","title_canon_sha256":"4bf765c2d07d2e943a448b3d65a30d18df19622a64dca71b277d218414045621"},"schema_version":"1.0","source":{"id":"math-ph/9904033","kind":"arxiv","version":2}},"canonical_sha256":"24dd866dcafdb10146d3df3d1ddf6278e015f8b4ac7c658d7734be73ab4bc5b2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"24dd866dcafdb10146d3df3d1ddf6278e015f8b4ac7c658d7734be73ab4bc5b2","first_computed_at":"2026-05-18T01:38:30.591029Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:30.591029Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UmH23ePWQhE0BlFgRSE2ge+fWXjkJe4vvyvr27iAgnHd1I18taT0uVP+o3Rv8AA7crnYTDQZBrW8PSP6aOEZAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:30.591505Z","signed_message":"canonical_sha256_bytes"},"source_id":"math-ph/9904033","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:55d38e28558b8220f0dd5a57bda1ed1e7fdc7a6ab928960d753d618d0a330c2c","sha256:9b83a6a01649ba34ac4d6172ff8666683876fd1cc7e3b43771a7e7ce3d966a4c"],"state_sha256":"bccf1505fd36c1eb10bbdf92d4638eed173b76ecd0e5edf80dead6d45a029d6a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"66cNQ5OInLFSFG1j7AlnR4dP1mrBo27Lb/7CepcPtP/vinuiVlOfAR1L72eL/RKoXVKwueuK8Gn7PDQwqF+FDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T21:43:47.437492Z","bundle_sha256":"175016072afa00636704e2ed20bc0bdbab4cd499e9e51ed433f3e242818fe8b2"}}