{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:LPIMBBDY6ZZ3N64XB4V6UVD52R","short_pith_number":"pith:LPIMBBDY","canonical_record":{"source":{"id":"1506.00541","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-06-01T15:35:57Z","cross_cats_sorted":["cond-mat.other","math.MP"],"title_canon_sha256":"31e265136fc55610db9ca4fd17fd682e9c9e147825957e15fbe7d33239ffa030","abstract_canon_sha256":"086d02171222175ba0f0eef1fdea19e23f81a9ca148785a1461cfa6d8e4e921f"},"schema_version":"1.0"},"canonical_sha256":"5bd0c08478f673b6fb970f2bea547dd44e5d82ccbf10b41f65769f6812f35a4a","source":{"kind":"arxiv","id":"1506.00541","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.00541","created_at":"2026-05-18T01:55:59Z"},{"alias_kind":"arxiv_version","alias_value":"1506.00541v3","created_at":"2026-05-18T01:55:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.00541","created_at":"2026-05-18T01:55:59Z"},{"alias_kind":"pith_short_12","alias_value":"LPIMBBDY6ZZ3","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"LPIMBBDY6ZZ3N64X","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"LPIMBBDY","created_at":"2026-05-18T12:29:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:LPIMBBDY6ZZ3N64XB4V6UVD52R","target":"record","payload":{"canonical_record":{"source":{"id":"1506.00541","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-06-01T15:35:57Z","cross_cats_sorted":["cond-mat.other","math.MP"],"title_canon_sha256":"31e265136fc55610db9ca4fd17fd682e9c9e147825957e15fbe7d33239ffa030","abstract_canon_sha256":"086d02171222175ba0f0eef1fdea19e23f81a9ca148785a1461cfa6d8e4e921f"},"schema_version":"1.0"},"canonical_sha256":"5bd0c08478f673b6fb970f2bea547dd44e5d82ccbf10b41f65769f6812f35a4a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:55:59.432574Z","signature_b64":"DVTvGSXsdFDGD8fSzs6QSulzb5OqPtT1lAmqeYdt8DMP7cjHbjKJB09vYP9e1nP7Z6jqFhF0WZj8GQQdtZA1Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5bd0c08478f673b6fb970f2bea547dd44e5d82ccbf10b41f65769f6812f35a4a","last_reissued_at":"2026-05-18T01:55:59.432054Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:55:59.432054Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.00541","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:55:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ut2godqef/8ZzU1a49Ia+y9BeXmmqsqsg0pzMvCN99OvAJRqHPHibutjaMi3hYgEDWTRX1mmQQoChTcGkC1LCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T21:25:05.848135Z"},"content_sha256":"46e725b6b01e13115e58e4db18ceb0aba4959a32427d817b286c409baf801793","schema_version":"1.0","event_id":"sha256:46e725b6b01e13115e58e4db18ceb0aba4959a32427d817b286c409baf801793"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:LPIMBBDY6ZZ3N64XB4V6UVD52R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Asymptotic Equation for Zeros of Hermite Polynomials from the Holstein-Primakoff Representation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other","math.MP"],"primary_cat":"math-ph","authors_text":"Lucas Kocia","submitted_at":"2015-06-01T15:35:57Z","abstract_excerpt":"The Holstein-Primakoff representation for spin systems is used to derive expressions with solutions that are conjectured to be the zeros of Hermite polynomials $H_n(x)$ as $n \\rightarrow \\infty$. This establishes a correspondence between the zeros of the Hermite polynomials and the boundaries of the position basis of finite-dimensional Hilbert spaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.00541","kind":"arxiv","version":3},"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":"2026-05-18T01:55:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"78EHLpK8YDEbSO+VbrACmqVx1MEe1O7j7z8zmhsvQfJuen9ZnyL2/8NRUdDslKbrS14T5YbES1gb7yhvvkG0Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T21:25:05.848478Z"},"content_sha256":"28815947febfd43321fad911cb852629c38a944badca73c4c098aed7479068b3","schema_version":"1.0","event_id":"sha256:28815947febfd43321fad911cb852629c38a944badca73c4c098aed7479068b3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LPIMBBDY6ZZ3N64XB4V6UVD52R/bundle.json","state_url":"https://pith.science/pith/LPIMBBDY6ZZ3N64XB4V6UVD52R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LPIMBBDY6ZZ3N64XB4V6UVD52R/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":"2026-06-29T21:25:05Z","links":{"resolver":"https://pith.science/pith/LPIMBBDY6ZZ3N64XB4V6UVD52R","bundle":"https://pith.science/pith/LPIMBBDY6ZZ3N64XB4V6UVD52R/bundle.json","state":"https://pith.science/pith/LPIMBBDY6ZZ3N64XB4V6UVD52R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LPIMBBDY6ZZ3N64XB4V6UVD52R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:LPIMBBDY6ZZ3N64XB4V6UVD52R","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":"086d02171222175ba0f0eef1fdea19e23f81a9ca148785a1461cfa6d8e4e921f","cross_cats_sorted":["cond-mat.other","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-06-01T15:35:57Z","title_canon_sha256":"31e265136fc55610db9ca4fd17fd682e9c9e147825957e15fbe7d33239ffa030"},"schema_version":"1.0","source":{"id":"1506.00541","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.00541","created_at":"2026-05-18T01:55:59Z"},{"alias_kind":"arxiv_version","alias_value":"1506.00541v3","created_at":"2026-05-18T01:55:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.00541","created_at":"2026-05-18T01:55:59Z"},{"alias_kind":"pith_short_12","alias_value":"LPIMBBDY6ZZ3","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"LPIMBBDY6ZZ3N64X","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"LPIMBBDY","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:28815947febfd43321fad911cb852629c38a944badca73c4c098aed7479068b3","target":"graph","created_at":"2026-05-18T01:55:59Z","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 Holstein-Primakoff representation for spin systems is used to derive expressions with solutions that are conjectured to be the zeros of Hermite polynomials $H_n(x)$ as $n \\rightarrow \\infty$. This establishes a correspondence between the zeros of the Hermite polynomials and the boundaries of the position basis of finite-dimensional Hilbert spaces.","authors_text":"Lucas Kocia","cross_cats":["cond-mat.other","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-06-01T15:35:57Z","title":"Asymptotic Equation for Zeros of Hermite Polynomials from the Holstein-Primakoff Representation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.00541","kind":"arxiv","version":3},"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":"sha256:46e725b6b01e13115e58e4db18ceb0aba4959a32427d817b286c409baf801793","target":"record","created_at":"2026-05-18T01:55:59Z","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":"086d02171222175ba0f0eef1fdea19e23f81a9ca148785a1461cfa6d8e4e921f","cross_cats_sorted":["cond-mat.other","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-06-01T15:35:57Z","title_canon_sha256":"31e265136fc55610db9ca4fd17fd682e9c9e147825957e15fbe7d33239ffa030"},"schema_version":"1.0","source":{"id":"1506.00541","kind":"arxiv","version":3}},"canonical_sha256":"5bd0c08478f673b6fb970f2bea547dd44e5d82ccbf10b41f65769f6812f35a4a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5bd0c08478f673b6fb970f2bea547dd44e5d82ccbf10b41f65769f6812f35a4a","first_computed_at":"2026-05-18T01:55:59.432054Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:55:59.432054Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DVTvGSXsdFDGD8fSzs6QSulzb5OqPtT1lAmqeYdt8DMP7cjHbjKJB09vYP9e1nP7Z6jqFhF0WZj8GQQdtZA1Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:55:59.432574Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.00541","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:46e725b6b01e13115e58e4db18ceb0aba4959a32427d817b286c409baf801793","sha256:28815947febfd43321fad911cb852629c38a944badca73c4c098aed7479068b3"],"state_sha256":"15869b6b2aa3df144cf3179ae99946acadd8673ced28072a735553015d7b7c33"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6c0ZwfHPrc4ybLTsGqbLmvCDMeakcHIn0DMHqN7gkKToDn+NxlZAACV6AOHqtuzyrGoIf9ZkS+ZVZXCaF9TvBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T21:25:05.850560Z","bundle_sha256":"e494c119b551ae21d2cccb6c489b5b64a96cb22e2e92f65b34026e286cc15388"}}