{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:TC3SAY5HCQ3NZ4AML6LTVVTKLT","short_pith_number":"pith:TC3SAY5H","canonical_record":{"source":{"id":"1604.00458","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2016-04-02T04:13:40Z","cross_cats_sorted":[],"title_canon_sha256":"e86c21d5abdf335b1fa488fadd8061fcee6df3ea023cd7f1c5b2ed38783a471a","abstract_canon_sha256":"7107095a547fa0d5dcb900e2c893b262888669232a6d95264a5102eeb2700e83"},"schema_version":"1.0"},"canonical_sha256":"98b72063a71436dcf00c5f973ad66a5ce08ef3391eb74066e4bd9c411d79952f","source":{"kind":"arxiv","id":"1604.00458","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.00458","created_at":"2026-05-18T01:11:12Z"},{"alias_kind":"arxiv_version","alias_value":"1604.00458v1","created_at":"2026-05-18T01:11:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.00458","created_at":"2026-05-18T01:11:12Z"},{"alias_kind":"pith_short_12","alias_value":"TC3SAY5HCQ3N","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"TC3SAY5HCQ3NZ4AM","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"TC3SAY5H","created_at":"2026-05-18T12:30:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:TC3SAY5HCQ3NZ4AML6LTVVTKLT","target":"record","payload":{"canonical_record":{"source":{"id":"1604.00458","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2016-04-02T04:13:40Z","cross_cats_sorted":[],"title_canon_sha256":"e86c21d5abdf335b1fa488fadd8061fcee6df3ea023cd7f1c5b2ed38783a471a","abstract_canon_sha256":"7107095a547fa0d5dcb900e2c893b262888669232a6d95264a5102eeb2700e83"},"schema_version":"1.0"},"canonical_sha256":"98b72063a71436dcf00c5f973ad66a5ce08ef3391eb74066e4bd9c411d79952f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:12.305338Z","signature_b64":"DH8IIfBSEHInUN0zV0PL7c83r6a8l6xoL34AE72UEOJQDGFhc2/sG4lf2Xgkv5MsiLqdnf9Jplb+Wv/WrlYpDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"98b72063a71436dcf00c5f973ad66a5ce08ef3391eb74066e4bd9c411d79952f","last_reissued_at":"2026-05-18T01:11:12.304745Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:12.304745Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.00458","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":"2026-05-18T01:11:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z3z46qCaW2d4cXPzcoB6ULC/otTOZMwF0/AQ4BrUlFB57tM0hxIRxMTNc2yjy6cesc6cTmVsoUTZAL3210fyAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T06:29:20.230358Z"},"content_sha256":"fa8e98b70b2d3f8d4566950c6189150b3a1e422e8047e28fe0dc1be5925536f5","schema_version":"1.0","event_id":"sha256:fa8e98b70b2d3f8d4566950c6189150b3a1e422e8047e28fe0dc1be5925536f5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:TC3SAY5HCQ3NZ4AML6LTVVTKLT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ground state properties of hard-core anyons in a harmonic potential","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Yajiang Hao","submitted_at":"2016-04-02T04:13:40Z","abstract_excerpt":"Using anyon-fermion mapping method, we investigate the ground state properties of hard-core anyons confined in a one-dimensional harmonic trap. The concise analytical formula of the reduced one-body density matrix are obtained. Basing on the formula, we evaluated the momentum distribution, the natural orbitals and their occupation distributions for different statistical parameters. The occupation and occupation fraction of the lowest natural orbital versus anyon number are also displayed. It is shown that the ground state properties of anyons interplay between Bosons and Fermions continuously."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.00458","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":""},"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":"2026-05-18T01:11:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yJLyt5BVN2qkVACPcOTEO0btGK4ddr4uId+xB02eoByN2g4Fr8rScpI3+tpSdyIi0aU2SedbdYTPmjgrRIkfDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T06:29:20.230810Z"},"content_sha256":"5556b666aaf365bb5bfea751a9050b02730f17f1ad1b5b5c2a0a9b2b9bc6bb33","schema_version":"1.0","event_id":"sha256:5556b666aaf365bb5bfea751a9050b02730f17f1ad1b5b5c2a0a9b2b9bc6bb33"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TC3SAY5HCQ3NZ4AML6LTVVTKLT/bundle.json","state_url":"https://pith.science/pith/TC3SAY5HCQ3NZ4AML6LTVVTKLT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TC3SAY5HCQ3NZ4AML6LTVVTKLT/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":"2026-06-24T06:29:20Z","links":{"resolver":"https://pith.science/pith/TC3SAY5HCQ3NZ4AML6LTVVTKLT","bundle":"https://pith.science/pith/TC3SAY5HCQ3NZ4AML6LTVVTKLT/bundle.json","state":"https://pith.science/pith/TC3SAY5HCQ3NZ4AML6LTVVTKLT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TC3SAY5HCQ3NZ4AML6LTVVTKLT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:TC3SAY5HCQ3NZ4AML6LTVVTKLT","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":"7107095a547fa0d5dcb900e2c893b262888669232a6d95264a5102eeb2700e83","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2016-04-02T04:13:40Z","title_canon_sha256":"e86c21d5abdf335b1fa488fadd8061fcee6df3ea023cd7f1c5b2ed38783a471a"},"schema_version":"1.0","source":{"id":"1604.00458","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.00458","created_at":"2026-05-18T01:11:12Z"},{"alias_kind":"arxiv_version","alias_value":"1604.00458v1","created_at":"2026-05-18T01:11:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.00458","created_at":"2026-05-18T01:11:12Z"},{"alias_kind":"pith_short_12","alias_value":"TC3SAY5HCQ3N","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"TC3SAY5HCQ3NZ4AM","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"TC3SAY5H","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:5556b666aaf365bb5bfea751a9050b02730f17f1ad1b5b5c2a0a9b2b9bc6bb33","target":"graph","created_at":"2026-05-18T01:11:12Z","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":"Using anyon-fermion mapping method, we investigate the ground state properties of hard-core anyons confined in a one-dimensional harmonic trap. The concise analytical formula of the reduced one-body density matrix are obtained. Basing on the formula, we evaluated the momentum distribution, the natural orbitals and their occupation distributions for different statistical parameters. The occupation and occupation fraction of the lowest natural orbital versus anyon number are also displayed. It is shown that the ground state properties of anyons interplay between Bosons and Fermions continuously.","authors_text":"Yajiang Hao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2016-04-02T04:13:40Z","title":"Ground state properties of hard-core anyons in a harmonic potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.00458","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:fa8e98b70b2d3f8d4566950c6189150b3a1e422e8047e28fe0dc1be5925536f5","target":"record","created_at":"2026-05-18T01:11:12Z","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":"7107095a547fa0d5dcb900e2c893b262888669232a6d95264a5102eeb2700e83","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2016-04-02T04:13:40Z","title_canon_sha256":"e86c21d5abdf335b1fa488fadd8061fcee6df3ea023cd7f1c5b2ed38783a471a"},"schema_version":"1.0","source":{"id":"1604.00458","kind":"arxiv","version":1}},"canonical_sha256":"98b72063a71436dcf00c5f973ad66a5ce08ef3391eb74066e4bd9c411d79952f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"98b72063a71436dcf00c5f973ad66a5ce08ef3391eb74066e4bd9c411d79952f","first_computed_at":"2026-05-18T01:11:12.304745Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:12.304745Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DH8IIfBSEHInUN0zV0PL7c83r6a8l6xoL34AE72UEOJQDGFhc2/sG4lf2Xgkv5MsiLqdnf9Jplb+Wv/WrlYpDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:12.305338Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.00458","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fa8e98b70b2d3f8d4566950c6189150b3a1e422e8047e28fe0dc1be5925536f5","sha256:5556b666aaf365bb5bfea751a9050b02730f17f1ad1b5b5c2a0a9b2b9bc6bb33"],"state_sha256":"d767a67ef6b8c4876fd2f65c8cee28405de6289495dbdc8e3848c1dd882d7d50"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3VdicoNp2sCLphkVVXbJv9+TEbLwFC0I9ZXPoodJgkzFxYk79vriUDkEuYv/W/ZR/HUnJNWqcBFxdVrGQYWsBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T06:29:20.233599Z","bundle_sha256":"897c507b32a0435ac356f3aed3ba1c5a7545f24d4c98b2f916edc66a1535b0d3"}}