{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:553CQWH3NEHJJISN3IWCVRX46N","short_pith_number":"pith:553CQWH3","canonical_record":{"source":{"id":"2106.07235","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2021-06-14T08:44:53Z","cross_cats_sorted":[],"title_canon_sha256":"95452ac8222bdf53dd63a421c00e536973b7beeb349bf173d7c127c0877a8287","abstract_canon_sha256":"6d9761c456be27800b2aba485b12bdeccad856de2a8c0db25094dfa7964d2005"},"schema_version":"1.0"},"canonical_sha256":"ef762858fb690e94a24dda2c2ac6fcf376bb67317bb5252a254f406990b949a4","source":{"kind":"arxiv","id":"2106.07235","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2106.07235","created_at":"2026-07-05T02:51:27Z"},{"alias_kind":"arxiv_version","alias_value":"2106.07235v2","created_at":"2026-07-05T02:51:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2106.07235","created_at":"2026-07-05T02:51:27Z"},{"alias_kind":"pith_short_12","alias_value":"553CQWH3NEHJ","created_at":"2026-07-05T02:51:27Z"},{"alias_kind":"pith_short_16","alias_value":"553CQWH3NEHJJISN","created_at":"2026-07-05T02:51:27Z"},{"alias_kind":"pith_short_8","alias_value":"553CQWH3","created_at":"2026-07-05T02:51:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:553CQWH3NEHJJISN3IWCVRX46N","target":"record","payload":{"canonical_record":{"source":{"id":"2106.07235","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2021-06-14T08:44:53Z","cross_cats_sorted":[],"title_canon_sha256":"95452ac8222bdf53dd63a421c00e536973b7beeb349bf173d7c127c0877a8287","abstract_canon_sha256":"6d9761c456be27800b2aba485b12bdeccad856de2a8c0db25094dfa7964d2005"},"schema_version":"1.0"},"canonical_sha256":"ef762858fb690e94a24dda2c2ac6fcf376bb67317bb5252a254f406990b949a4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:51:27.366896Z","signature_b64":"6nbVkmeFe7oYBYqUa46ncwXxIMmGsN7ukOCg8FibTgry5sEIyO/FjptxySFzjFCyhKYekyCRqVk7h1nfY/NBCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ef762858fb690e94a24dda2c2ac6fcf376bb67317bb5252a254f406990b949a4","last_reissued_at":"2026-07-05T02:51:27.366456Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:51:27.366456Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2106.07235","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":"2026-07-05T02:51:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6W4HN2pu93+LqcTSnk09wSP7rrQcWwcXFdwYdf2GgezvlwNCEMRn/91d/w4A7DyTCK7zmiUGN8crqHnYcqcgBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T07:12:32.130679Z"},"content_sha256":"f11637ef8acff622848a4c3b2a782782c7c9b4887e48691d21fea0feeac81c3f","schema_version":"1.0","event_id":"sha256:f11637ef8acff622848a4c3b2a782782c7c9b4887e48691d21fea0feeac81c3f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:553CQWH3NEHJJISN3IWCVRX46N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cluster-cluster correlations beyond the Laughlin state","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Bartosz Kusmierz, G J Sreejith","submitted_at":"2021-06-14T08:44:53Z","abstract_excerpt":"Number of zeros seen by a particle around small clusters of other particles is encoded in the root partition, and partly characterizes the correlations in fractional quantum Hall trial wavefunctions. We explore a generalization wherein we consider the counting of zeros seen by a cluster of particles on another cluster. Numbers of such zeros between clusters in the Laughlin wavefunctions are fully determined by the root partition. However, such a counting is unclear for general Jain states where a polynomial expansion is difficult. Here we consider the simplest state beyond the Laughlin wavefun"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2106.07235","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2106.07235/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T02:51:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n/5aKePBix3r8qIqeBqTK8yITfAfFxwdqHjf4c4GtenBWG0oFHtPV28lUzXGFsANSAmtaGkf86b0llF+x/T3CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T07:12:32.131195Z"},"content_sha256":"198b0a5ae705fa3e37cd8c7db04199633840bb8529a2247ee5da41cda3233de8","schema_version":"1.0","event_id":"sha256:198b0a5ae705fa3e37cd8c7db04199633840bb8529a2247ee5da41cda3233de8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/553CQWH3NEHJJISN3IWCVRX46N/bundle.json","state_url":"https://pith.science/pith/553CQWH3NEHJJISN3IWCVRX46N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/553CQWH3NEHJJISN3IWCVRX46N/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":"2026-08-22T07:12:32Z","links":{"resolver":"https://pith.science/pith/553CQWH3NEHJJISN3IWCVRX46N","bundle":"https://pith.science/pith/553CQWH3NEHJJISN3IWCVRX46N/bundle.json","state":"https://pith.science/pith/553CQWH3NEHJJISN3IWCVRX46N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/553CQWH3NEHJJISN3IWCVRX46N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:553CQWH3NEHJJISN3IWCVRX46N","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":"6d9761c456be27800b2aba485b12bdeccad856de2a8c0db25094dfa7964d2005","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2021-06-14T08:44:53Z","title_canon_sha256":"95452ac8222bdf53dd63a421c00e536973b7beeb349bf173d7c127c0877a8287"},"schema_version":"1.0","source":{"id":"2106.07235","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2106.07235","created_at":"2026-07-05T02:51:27Z"},{"alias_kind":"arxiv_version","alias_value":"2106.07235v2","created_at":"2026-07-05T02:51:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2106.07235","created_at":"2026-07-05T02:51:27Z"},{"alias_kind":"pith_short_12","alias_value":"553CQWH3NEHJ","created_at":"2026-07-05T02:51:27Z"},{"alias_kind":"pith_short_16","alias_value":"553CQWH3NEHJJISN","created_at":"2026-07-05T02:51:27Z"},{"alias_kind":"pith_short_8","alias_value":"553CQWH3","created_at":"2026-07-05T02:51:27Z"}],"graph_snapshots":[{"event_id":"sha256:198b0a5ae705fa3e37cd8c7db04199633840bb8529a2247ee5da41cda3233de8","target":"graph","created_at":"2026-07-05T02:51:27Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2106.07235/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Number of zeros seen by a particle around small clusters of other particles is encoded in the root partition, and partly characterizes the correlations in fractional quantum Hall trial wavefunctions. We explore a generalization wherein we consider the counting of zeros seen by a cluster of particles on another cluster. Numbers of such zeros between clusters in the Laughlin wavefunctions are fully determined by the root partition. However, such a counting is unclear for general Jain states where a polynomial expansion is difficult. Here we consider the simplest state beyond the Laughlin wavefun","authors_text":"Bartosz Kusmierz, G J Sreejith","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2021-06-14T08:44:53Z","title":"Cluster-cluster correlations beyond the Laughlin state"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2106.07235","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:f11637ef8acff622848a4c3b2a782782c7c9b4887e48691d21fea0feeac81c3f","target":"record","created_at":"2026-07-05T02:51:27Z","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":"6d9761c456be27800b2aba485b12bdeccad856de2a8c0db25094dfa7964d2005","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2021-06-14T08:44:53Z","title_canon_sha256":"95452ac8222bdf53dd63a421c00e536973b7beeb349bf173d7c127c0877a8287"},"schema_version":"1.0","source":{"id":"2106.07235","kind":"arxiv","version":2}},"canonical_sha256":"ef762858fb690e94a24dda2c2ac6fcf376bb67317bb5252a254f406990b949a4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ef762858fb690e94a24dda2c2ac6fcf376bb67317bb5252a254f406990b949a4","first_computed_at":"2026-07-05T02:51:27.366456Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:51:27.366456Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6nbVkmeFe7oYBYqUa46ncwXxIMmGsN7ukOCg8FibTgry5sEIyO/FjptxySFzjFCyhKYekyCRqVk7h1nfY/NBCA==","signature_status":"signed_v1","signed_at":"2026-07-05T02:51:27.366896Z","signed_message":"canonical_sha256_bytes"},"source_id":"2106.07235","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f11637ef8acff622848a4c3b2a782782c7c9b4887e48691d21fea0feeac81c3f","sha256:198b0a5ae705fa3e37cd8c7db04199633840bb8529a2247ee5da41cda3233de8"],"state_sha256":"09bb6c7e1be9e3d1d1dcb594aea3f5ea7128404a93e0c402b361485c255cb618"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fnHIZEslbYgT0QnUoQTqdNzy7/b7JGWloLoS9DNHsAgSprP+nJcg10MUTkZXgclo0P9UMFaaImmmbVb/40jaDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T07:12:32.135642Z","bundle_sha256":"64ac1b3313807336b0e6a96577536347583bdffb9ba7a42298160e2d7d1b9660"}}