{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:PFHWSG2IPPSCLBYIQ4APYNRPH7","short_pith_number":"pith:PFHWSG2I","canonical_record":{"source":{"id":"0912.1908","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-12-10T03:00:49Z","cross_cats_sorted":[],"title_canon_sha256":"393d35e7f22685cf4b227f5901e31a79e7bb40b0cde5ec94895d83d16e7473c0","abstract_canon_sha256":"ed611c389effc979330dd1ed7b2bf1c7177fcc3daaf41dec88becc6c43bf50fe"},"schema_version":"1.0"},"canonical_sha256":"794f691b487be42587088700fc362f3fdf3fa6da85b470ec07bc5fe847d0b53c","source":{"kind":"arxiv","id":"0912.1908","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.1908","created_at":"2026-05-18T02:10:25Z"},{"alias_kind":"arxiv_version","alias_value":"0912.1908v2","created_at":"2026-05-18T02:10:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.1908","created_at":"2026-05-18T02:10:25Z"},{"alias_kind":"pith_short_12","alias_value":"PFHWSG2IPPSC","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"PFHWSG2IPPSCLBYI","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"PFHWSG2I","created_at":"2026-05-18T12:26:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:PFHWSG2IPPSCLBYIQ4APYNRPH7","target":"record","payload":{"canonical_record":{"source":{"id":"0912.1908","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-12-10T03:00:49Z","cross_cats_sorted":[],"title_canon_sha256":"393d35e7f22685cf4b227f5901e31a79e7bb40b0cde5ec94895d83d16e7473c0","abstract_canon_sha256":"ed611c389effc979330dd1ed7b2bf1c7177fcc3daaf41dec88becc6c43bf50fe"},"schema_version":"1.0"},"canonical_sha256":"794f691b487be42587088700fc362f3fdf3fa6da85b470ec07bc5fe847d0b53c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:10:25.021734Z","signature_b64":"oLX2TKjBWEjSuBYhi2cZc2Pqd7Bb8KR1+HZwC73mZRtYQBvnvCdFnkj+o7NmCdlbZomcPK8+MZ88JG1ZusPwCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"794f691b487be42587088700fc362f3fdf3fa6da85b470ec07bc5fe847d0b53c","last_reissued_at":"2026-05-18T02:10:25.021362Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:10:25.021362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0912.1908","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":"2026-05-18T02:10:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ORUqzjaqWKN6FwQlkAqvsINq/fOTKq5uQZv1sasPnjGGE0v7cr4e2t3vsE/zqoVb34NVlNhEOK31mT53Gk4vCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T03:15:23.632265Z"},"content_sha256":"d949cf0170893e9039a49cfbca1fa16f54ae4efe5c748294d7fcda98b8ac2941","schema_version":"1.0","event_id":"sha256:d949cf0170893e9039a49cfbca1fa16f54ae4efe5c748294d7fcda98b8ac2941"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:PFHWSG2IPPSCLBYIQ4APYNRPH7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Featureless Mott Insulators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Chyh-Hong Chern","submitted_at":"2009-12-10T03:00:49Z","abstract_excerpt":"A family of the pair hopping models exhibiting the incompressible quantum liquid at fractional filling $1/m^D$ is constructed in $D$ dimensional lattice. Except in one dimension, the lattice is the generalized edge-shared triangular lattice, for example the triangular lattice in two dimensions and tetrahedral lattice in three dimensions. They obey the new symmetry, conservation of the center-of-mass position proposed by Seidel et al..\\cite{Seidel2005} The uniqueness of the ground state is proved rigorously in the open boundary condition. The finiteness of the excitation energy is calculated by"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.1908","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":""},"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":"2026-05-18T02:10:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Jys7A4JpFPMIxmau4ewp6bbURWDL2NGmnsT5gomrwtlQUJtJMsBc4SJwDP10VGEdgnCWnd54d8pIXdLqXLicCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T03:15:23.632966Z"},"content_sha256":"4121b8e8ef5d33be1012b46090b71a0aa6e09289b1e05375049e96532c0553a7","schema_version":"1.0","event_id":"sha256:4121b8e8ef5d33be1012b46090b71a0aa6e09289b1e05375049e96532c0553a7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PFHWSG2IPPSCLBYIQ4APYNRPH7/bundle.json","state_url":"https://pith.science/pith/PFHWSG2IPPSCLBYIQ4APYNRPH7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PFHWSG2IPPSCLBYIQ4APYNRPH7/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":"2026-05-27T03:15:23Z","links":{"resolver":"https://pith.science/pith/PFHWSG2IPPSCLBYIQ4APYNRPH7","bundle":"https://pith.science/pith/PFHWSG2IPPSCLBYIQ4APYNRPH7/bundle.json","state":"https://pith.science/pith/PFHWSG2IPPSCLBYIQ4APYNRPH7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PFHWSG2IPPSCLBYIQ4APYNRPH7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:PFHWSG2IPPSCLBYIQ4APYNRPH7","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":"ed611c389effc979330dd1ed7b2bf1c7177fcc3daaf41dec88becc6c43bf50fe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-12-10T03:00:49Z","title_canon_sha256":"393d35e7f22685cf4b227f5901e31a79e7bb40b0cde5ec94895d83d16e7473c0"},"schema_version":"1.0","source":{"id":"0912.1908","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.1908","created_at":"2026-05-18T02:10:25Z"},{"alias_kind":"arxiv_version","alias_value":"0912.1908v2","created_at":"2026-05-18T02:10:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.1908","created_at":"2026-05-18T02:10:25Z"},{"alias_kind":"pith_short_12","alias_value":"PFHWSG2IPPSC","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"PFHWSG2IPPSCLBYI","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"PFHWSG2I","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:4121b8e8ef5d33be1012b46090b71a0aa6e09289b1e05375049e96532c0553a7","target":"graph","created_at":"2026-05-18T02:10:25Z","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 family of the pair hopping models exhibiting the incompressible quantum liquid at fractional filling $1/m^D$ is constructed in $D$ dimensional lattice. Except in one dimension, the lattice is the generalized edge-shared triangular lattice, for example the triangular lattice in two dimensions and tetrahedral lattice in three dimensions. They obey the new symmetry, conservation of the center-of-mass position proposed by Seidel et al..\\cite{Seidel2005} The uniqueness of the ground state is proved rigorously in the open boundary condition. The finiteness of the excitation energy is calculated by","authors_text":"Chyh-Hong Chern","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-12-10T03:00:49Z","title":"Featureless Mott Insulators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.1908","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:d949cf0170893e9039a49cfbca1fa16f54ae4efe5c748294d7fcda98b8ac2941","target":"record","created_at":"2026-05-18T02:10:25Z","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":"ed611c389effc979330dd1ed7b2bf1c7177fcc3daaf41dec88becc6c43bf50fe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-12-10T03:00:49Z","title_canon_sha256":"393d35e7f22685cf4b227f5901e31a79e7bb40b0cde5ec94895d83d16e7473c0"},"schema_version":"1.0","source":{"id":"0912.1908","kind":"arxiv","version":2}},"canonical_sha256":"794f691b487be42587088700fc362f3fdf3fa6da85b470ec07bc5fe847d0b53c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"794f691b487be42587088700fc362f3fdf3fa6da85b470ec07bc5fe847d0b53c","first_computed_at":"2026-05-18T02:10:25.021362Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:10:25.021362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oLX2TKjBWEjSuBYhi2cZc2Pqd7Bb8KR1+HZwC73mZRtYQBvnvCdFnkj+o7NmCdlbZomcPK8+MZ88JG1ZusPwCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:10:25.021734Z","signed_message":"canonical_sha256_bytes"},"source_id":"0912.1908","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d949cf0170893e9039a49cfbca1fa16f54ae4efe5c748294d7fcda98b8ac2941","sha256:4121b8e8ef5d33be1012b46090b71a0aa6e09289b1e05375049e96532c0553a7"],"state_sha256":"898a5dcb713c543b7021b4825df9cfee1b8a6b9abcb5a8a05183c3cb8a3d8f16"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UTvI++geZlsW7NkgzzgHl85Hp7/F/fCgLLm6EO0q+r/ZA0Bu07Kvo4tEVM73G0KYEQGFFfp3TXt14d6wjakkBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T03:15:23.636369Z","bundle_sha256":"e67858226401f6bd1767836a7e579c2a755fbea4efdf440aef8fe0f850737ef6"}}