{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:WNMFXNF6EK6V7AQPG5MTKKVPJM","short_pith_number":"pith:WNMFXNF6","canonical_record":{"source":{"id":"2409.00409","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2024-08-31T09:55:26Z","cross_cats_sorted":["cond-mat.quant-gas","math.MP"],"title_canon_sha256":"3d071b5c226f65fe3d57c8a1160b05336795e15534d7e5c445e254325a600259","abstract_canon_sha256":"7236a4d923569aed868cb1050a3f453b9cecbd589c2deea72ff74e36167ebdba"},"schema_version":"1.0"},"canonical_sha256":"b3585bb4be22bd5f820f3759352aaf4b326a6bc7fe9d8c775dca365a6644ebdc","source":{"kind":"arxiv","id":"2409.00409","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.00409","created_at":"2026-07-05T09:01:47Z"},{"alias_kind":"arxiv_version","alias_value":"2409.00409v1","created_at":"2026-07-05T09:01:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.00409","created_at":"2026-07-05T09:01:47Z"},{"alias_kind":"pith_short_12","alias_value":"WNMFXNF6EK6V","created_at":"2026-07-05T09:01:47Z"},{"alias_kind":"pith_short_16","alias_value":"WNMFXNF6EK6V7AQP","created_at":"2026-07-05T09:01:47Z"},{"alias_kind":"pith_short_8","alias_value":"WNMFXNF6","created_at":"2026-07-05T09:01:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:WNMFXNF6EK6V7AQPG5MTKKVPJM","target":"record","payload":{"canonical_record":{"source":{"id":"2409.00409","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2024-08-31T09:55:26Z","cross_cats_sorted":["cond-mat.quant-gas","math.MP"],"title_canon_sha256":"3d071b5c226f65fe3d57c8a1160b05336795e15534d7e5c445e254325a600259","abstract_canon_sha256":"7236a4d923569aed868cb1050a3f453b9cecbd589c2deea72ff74e36167ebdba"},"schema_version":"1.0"},"canonical_sha256":"b3585bb4be22bd5f820f3759352aaf4b326a6bc7fe9d8c775dca365a6644ebdc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:01:47.086749Z","signature_b64":"9rle0hhJFSimX7xOklqSer+G6+ZXv4L4g2GhkHSiLLsyipIOHErgZgzRFhl1HZGwJW8Z8D8ZLUsiGt9kR3RHBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b3585bb4be22bd5f820f3759352aaf4b326a6bc7fe9d8c775dca365a6644ebdc","last_reissued_at":"2026-07-05T09:01:47.086341Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:01:47.086341Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2409.00409","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:01:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dT0PAVRqxu+Ht73Ef5MCOEwpLHiZCrjNsswtefRyqqLXLDyfP+IG/P6uTkmeuEzClFbVN+FzxOWNsBbkpUp5DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T13:30:22.958796Z"},"content_sha256":"32878ebad1da9dc56f490cdaf6c1460471faefd42ffa50c98c1bd98f420ea65a","schema_version":"1.0","event_id":"sha256:32878ebad1da9dc56f490cdaf6c1460471faefd42ffa50c98c1bd98f420ea65a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:WNMFXNF6EK6V7AQPG5MTKKVPJM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"2D attractive almost-bosonic anyon gases","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.quant-gas","math.MP"],"primary_cat":"math-ph","authors_text":"Dinh-Thi Nguyen","submitted_at":"2024-08-31T09:55:26Z","abstract_excerpt":"In two-dimensional space, we consider a system of $N$ anyons interacts via a short range attractive two-body interaction. In the stable regime, we derive the average-field Pauli functional as the mean-field limit of many-body quantum mechanics. Furthermore, we investigate the collapse phenomenon in the collapse regime where the strength of attractions tends to a critical value (defined by the cubic NLS equation) while simultaneously considering the weak field regime where the strength of the self-generated magnetic field tends to zero."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.00409","kind":"arxiv","version":1},"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/2409.00409/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":"2026-07-05T09:01:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y2kx5YOs3mX5aBYtWf9NeBU+ez2zNZgWRlKQs8C14QMJXWOnJ4+wqZY76ofp5Ix7J4tvxXnARmKoqD3A0W9kBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T13:30:22.959177Z"},"content_sha256":"6e802f9186ebcfc656e4fa16eab3e39523345b55a4d4f9b9f7dfefbabacea7a0","schema_version":"1.0","event_id":"sha256:6e802f9186ebcfc656e4fa16eab3e39523345b55a4d4f9b9f7dfefbabacea7a0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WNMFXNF6EK6V7AQPG5MTKKVPJM/bundle.json","state_url":"https://pith.science/pith/WNMFXNF6EK6V7AQPG5MTKKVPJM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WNMFXNF6EK6V7AQPG5MTKKVPJM/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":"2026-08-13T13:30:22Z","links":{"resolver":"https://pith.science/pith/WNMFXNF6EK6V7AQPG5MTKKVPJM","bundle":"https://pith.science/pith/WNMFXNF6EK6V7AQPG5MTKKVPJM/bundle.json","state":"https://pith.science/pith/WNMFXNF6EK6V7AQPG5MTKKVPJM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WNMFXNF6EK6V7AQPG5MTKKVPJM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:WNMFXNF6EK6V7AQPG5MTKKVPJM","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":"7236a4d923569aed868cb1050a3f453b9cecbd589c2deea72ff74e36167ebdba","cross_cats_sorted":["cond-mat.quant-gas","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2024-08-31T09:55:26Z","title_canon_sha256":"3d071b5c226f65fe3d57c8a1160b05336795e15534d7e5c445e254325a600259"},"schema_version":"1.0","source":{"id":"2409.00409","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.00409","created_at":"2026-07-05T09:01:47Z"},{"alias_kind":"arxiv_version","alias_value":"2409.00409v1","created_at":"2026-07-05T09:01:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.00409","created_at":"2026-07-05T09:01:47Z"},{"alias_kind":"pith_short_12","alias_value":"WNMFXNF6EK6V","created_at":"2026-07-05T09:01:47Z"},{"alias_kind":"pith_short_16","alias_value":"WNMFXNF6EK6V7AQP","created_at":"2026-07-05T09:01:47Z"},{"alias_kind":"pith_short_8","alias_value":"WNMFXNF6","created_at":"2026-07-05T09:01:47Z"}],"graph_snapshots":[{"event_id":"sha256:6e802f9186ebcfc656e4fa16eab3e39523345b55a4d4f9b9f7dfefbabacea7a0","target":"graph","created_at":"2026-07-05T09:01:47Z","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/2409.00409/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In two-dimensional space, we consider a system of $N$ anyons interacts via a short range attractive two-body interaction. In the stable regime, we derive the average-field Pauli functional as the mean-field limit of many-body quantum mechanics. Furthermore, we investigate the collapse phenomenon in the collapse regime where the strength of attractions tends to a critical value (defined by the cubic NLS equation) while simultaneously considering the weak field regime where the strength of the self-generated magnetic field tends to zero.","authors_text":"Dinh-Thi Nguyen","cross_cats":["cond-mat.quant-gas","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2024-08-31T09:55:26Z","title":"2D attractive almost-bosonic anyon gases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.00409","kind":"arxiv","version":1},"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":"sha256:32878ebad1da9dc56f490cdaf6c1460471faefd42ffa50c98c1bd98f420ea65a","target":"record","created_at":"2026-07-05T09:01:47Z","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":"7236a4d923569aed868cb1050a3f453b9cecbd589c2deea72ff74e36167ebdba","cross_cats_sorted":["cond-mat.quant-gas","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2024-08-31T09:55:26Z","title_canon_sha256":"3d071b5c226f65fe3d57c8a1160b05336795e15534d7e5c445e254325a600259"},"schema_version":"1.0","source":{"id":"2409.00409","kind":"arxiv","version":1}},"canonical_sha256":"b3585bb4be22bd5f820f3759352aaf4b326a6bc7fe9d8c775dca365a6644ebdc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b3585bb4be22bd5f820f3759352aaf4b326a6bc7fe9d8c775dca365a6644ebdc","first_computed_at":"2026-07-05T09:01:47.086341Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:01:47.086341Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9rle0hhJFSimX7xOklqSer+G6+ZXv4L4g2GhkHSiLLsyipIOHErgZgzRFhl1HZGwJW8Z8D8ZLUsiGt9kR3RHBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:01:47.086749Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.00409","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:32878ebad1da9dc56f490cdaf6c1460471faefd42ffa50c98c1bd98f420ea65a","sha256:6e802f9186ebcfc656e4fa16eab3e39523345b55a4d4f9b9f7dfefbabacea7a0"],"state_sha256":"4059bf82ba21654a87b1b80efe3e02ddebd58fc9ddfc993eb14c6a954e038629"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jFcSHwC5sm0O8N1ylVEmgvrNNM07op18BX2eyK8QTgo1A+a/B8jqX9uMr+ZKM0O+xWgSuAeg7I/fKFZ3roUqCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T13:30:22.962712Z","bundle_sha256":"c099c19672d50eb9dcd537704790695576fa31cd5ef5e4ec19babea560141f7a"}}