{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:SY34ZISGT23SQX5K7PZVYRKXZL","short_pith_number":"pith:SY34ZISG","canonical_record":{"source":{"id":"0804.3429","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2008-04-22T01:21:58Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"f07a3052d93aabacb70528d077cae25008ab8ac14564def716e2d1b61ee8cf37","abstract_canon_sha256":"c17586627c950b318d0376a158de66c48793d4f4710c9dca8f1ffef5c5422ff0"},"schema_version":"1.0"},"canonical_sha256":"9637cca2469eb7285faafbf35c4557cafe29ea3184bb87dd4e9c52d109d4323f","source":{"kind":"arxiv","id":"0804.3429","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0804.3429","created_at":"2026-05-18T03:37:19Z"},{"alias_kind":"arxiv_version","alias_value":"0804.3429v4","created_at":"2026-05-18T03:37:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0804.3429","created_at":"2026-05-18T03:37:19Z"},{"alias_kind":"pith_short_12","alias_value":"SY34ZISGT23S","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"SY34ZISGT23SQX5K","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"SY34ZISG","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:SY34ZISGT23SQX5K7PZVYRKXZL","target":"record","payload":{"canonical_record":{"source":{"id":"0804.3429","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2008-04-22T01:21:58Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"f07a3052d93aabacb70528d077cae25008ab8ac14564def716e2d1b61ee8cf37","abstract_canon_sha256":"c17586627c950b318d0376a158de66c48793d4f4710c9dca8f1ffef5c5422ff0"},"schema_version":"1.0"},"canonical_sha256":"9637cca2469eb7285faafbf35c4557cafe29ea3184bb87dd4e9c52d109d4323f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:37:19.294058Z","signature_b64":"tFqyXdm2VZCjFtMmUvnI4KytB2Z07XyqeahCamSktJ343WIlRuveEEH9655mQFjIRXq4wyFwfjjEksJezIJgDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9637cca2469eb7285faafbf35c4557cafe29ea3184bb87dd4e9c52d109d4323f","last_reissued_at":"2026-05-18T03:37:19.293700Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:37:19.293700Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0804.3429","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:37:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t3g16FKDjjWo3c5SveY4H1344Bo3zKz0ye2zZJDAeOrkZo9k4CVY2iXq9ynHr3GRRgMvi7F/2YIwE2ZBqKVpDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T10:35:46.704438Z"},"content_sha256":"b6360303f4023fe8f9c5fd3d63a145da898f97b9d7e7f0133b1274b0c229bff7","schema_version":"1.0","event_id":"sha256:b6360303f4023fe8f9c5fd3d63a145da898f97b9d7e7f0133b1274b0c229bff7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:SY34ZISGT23SQX5K7PZVYRKXZL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Characterizing symmetry breaking patterns in a lattice by dual vortex degree of freedoms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.str-el","authors_text":"Jinwu Ye, Yan Chen","submitted_at":"2008-04-22T01:21:58Z","abstract_excerpt":"A duality transformation in quantum field theory is usually established first through partition functions. It is always important to explore the dual relations between various correlation functions in the transformation. Here, we explore such a dual relation to study quantum phases and phase transitions in an extended boson Hubbard model at 1/3 (2/3) filling on a triangular lattice.\n  We develop systematically a simple and effective way to use the vortex degree of freedoms on dual lattices to characterize both the density wave and valence bond symmetry breaking patterns of the boson insulating"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0804.3429","kind":"arxiv","version":4},"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":"2026-05-18T03:37:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/iP6M4S6bdfcxbFPCKsTF+KRzfVweEJjEk6KHBt4D0r0+pXe/vSMIYd/W9m6CphS4oqcVUkmhQp528j1mToHAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T10:35:46.704807Z"},"content_sha256":"f88492a4cfe72ea2b68d220f9435cbdf5d99af805ff64d6c90b52acd6f475e65","schema_version":"1.0","event_id":"sha256:f88492a4cfe72ea2b68d220f9435cbdf5d99af805ff64d6c90b52acd6f475e65"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SY34ZISGT23SQX5K7PZVYRKXZL/bundle.json","state_url":"https://pith.science/pith/SY34ZISGT23SQX5K7PZVYRKXZL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SY34ZISGT23SQX5K7PZVYRKXZL/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":"2026-06-02T10:35:46Z","links":{"resolver":"https://pith.science/pith/SY34ZISGT23SQX5K7PZVYRKXZL","bundle":"https://pith.science/pith/SY34ZISGT23SQX5K7PZVYRKXZL/bundle.json","state":"https://pith.science/pith/SY34ZISGT23SQX5K7PZVYRKXZL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SY34ZISGT23SQX5K7PZVYRKXZL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:SY34ZISGT23SQX5K7PZVYRKXZL","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":"c17586627c950b318d0376a158de66c48793d4f4710c9dca8f1ffef5c5422ff0","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2008-04-22T01:21:58Z","title_canon_sha256":"f07a3052d93aabacb70528d077cae25008ab8ac14564def716e2d1b61ee8cf37"},"schema_version":"1.0","source":{"id":"0804.3429","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0804.3429","created_at":"2026-05-18T03:37:19Z"},{"alias_kind":"arxiv_version","alias_value":"0804.3429v4","created_at":"2026-05-18T03:37:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0804.3429","created_at":"2026-05-18T03:37:19Z"},{"alias_kind":"pith_short_12","alias_value":"SY34ZISGT23S","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"SY34ZISGT23SQX5K","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"SY34ZISG","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:f88492a4cfe72ea2b68d220f9435cbdf5d99af805ff64d6c90b52acd6f475e65","target":"graph","created_at":"2026-05-18T03:37:19Z","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":"A duality transformation in quantum field theory is usually established first through partition functions. It is always important to explore the dual relations between various correlation functions in the transformation. Here, we explore such a dual relation to study quantum phases and phase transitions in an extended boson Hubbard model at 1/3 (2/3) filling on a triangular lattice.\n  We develop systematically a simple and effective way to use the vortex degree of freedoms on dual lattices to characterize both the density wave and valence bond symmetry breaking patterns of the boson insulating","authors_text":"Jinwu Ye, Yan Chen","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2008-04-22T01:21:58Z","title":"Characterizing symmetry breaking patterns in a lattice by dual vortex degree of freedoms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0804.3429","kind":"arxiv","version":4},"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:b6360303f4023fe8f9c5fd3d63a145da898f97b9d7e7f0133b1274b0c229bff7","target":"record","created_at":"2026-05-18T03:37:19Z","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":"c17586627c950b318d0376a158de66c48793d4f4710c9dca8f1ffef5c5422ff0","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2008-04-22T01:21:58Z","title_canon_sha256":"f07a3052d93aabacb70528d077cae25008ab8ac14564def716e2d1b61ee8cf37"},"schema_version":"1.0","source":{"id":"0804.3429","kind":"arxiv","version":4}},"canonical_sha256":"9637cca2469eb7285faafbf35c4557cafe29ea3184bb87dd4e9c52d109d4323f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9637cca2469eb7285faafbf35c4557cafe29ea3184bb87dd4e9c52d109d4323f","first_computed_at":"2026-05-18T03:37:19.293700Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:37:19.293700Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tFqyXdm2VZCjFtMmUvnI4KytB2Z07XyqeahCamSktJ343WIlRuveEEH9655mQFjIRXq4wyFwfjjEksJezIJgDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:37:19.294058Z","signed_message":"canonical_sha256_bytes"},"source_id":"0804.3429","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b6360303f4023fe8f9c5fd3d63a145da898f97b9d7e7f0133b1274b0c229bff7","sha256:f88492a4cfe72ea2b68d220f9435cbdf5d99af805ff64d6c90b52acd6f475e65"],"state_sha256":"c66718fd797b8b2bc491d44ae074f7e9d9bbf995a1ad43a1c18fc240ed6e6fde"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CDcYsZg54wOFmIAfMZ51z9rQxZNk2ll9rU1vVyUA43aGdj/0saJC7rW5GQpbgv8Uciv7PKV59OezbAZADCaiDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T10:35:46.706781Z","bundle_sha256":"50c495329038e0acf785a999e69df5b91be97a70f85c1dad8eef90b9024a5900"}}