{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:LHRGQQGD5OJ747RD7LLM5C3PHL","short_pith_number":"pith:LHRGQQGD","canonical_record":{"source":{"id":"1301.6172","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-01-25T21:01:06Z","cross_cats_sorted":[],"title_canon_sha256":"33506330b65d3151daf296cb83ede778a4834e8b17f243b8c65fcb2646102fab","abstract_canon_sha256":"080f7d80ac876aaded33478e4998e4f145e94ffc5bddfd67051953687ba88f0c"},"schema_version":"1.0"},"canonical_sha256":"59e26840c3eb93fe7e23fad6ce8b6f3acd5d9ff4823eeed11e99512c1e3f2fff","source":{"kind":"arxiv","id":"1301.6172","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.6172","created_at":"2026-05-18T01:51:58Z"},{"alias_kind":"arxiv_version","alias_value":"1301.6172v3","created_at":"2026-05-18T01:51:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.6172","created_at":"2026-05-18T01:51:58Z"},{"alias_kind":"pith_short_12","alias_value":"LHRGQQGD5OJ7","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LHRGQQGD5OJ747RD","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LHRGQQGD","created_at":"2026-05-18T12:27:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:LHRGQQGD5OJ747RD7LLM5C3PHL","target":"record","payload":{"canonical_record":{"source":{"id":"1301.6172","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-01-25T21:01:06Z","cross_cats_sorted":[],"title_canon_sha256":"33506330b65d3151daf296cb83ede778a4834e8b17f243b8c65fcb2646102fab","abstract_canon_sha256":"080f7d80ac876aaded33478e4998e4f145e94ffc5bddfd67051953687ba88f0c"},"schema_version":"1.0"},"canonical_sha256":"59e26840c3eb93fe7e23fad6ce8b6f3acd5d9ff4823eeed11e99512c1e3f2fff","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:51:58.289362Z","signature_b64":"hTBNIKOkxjuHQBsq792R6Yr81cDLImMmVZmder6WSW2WfM+2+iz71F0csP2fwbKpJT923X6AC8G516NT6wvkCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"59e26840c3eb93fe7e23fad6ce8b6f3acd5d9ff4823eeed11e99512c1e3f2fff","last_reissued_at":"2026-05-18T01:51:58.288709Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:51:58.288709Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.6172","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:51:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ih3FccP5T/Yow1czqKPzDmPezpESyN20hm82egb9dqXZqSVToyZdUJNlu6I4vnN0sPxtiscetlM0oUmkAfQbAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T18:54:12.619935Z"},"content_sha256":"49ae73c4ecc3a46e0765fb67136a1e006a9fbb432cb38bbcb12da82692da352b","schema_version":"1.0","event_id":"sha256:49ae73c4ecc3a46e0765fb67136a1e006a9fbb432cb38bbcb12da82692da352b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:LHRGQQGD5OJ747RD7LLM5C3PHL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Wave Functions of Bosonic Symmetry Protected Topological Phases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Cenke Xu, T. Senthil","submitted_at":"2013-01-25T21:01:06Z","abstract_excerpt":"We study the structure of the ground state wave functions of bosonic Symmetry Protected Topological (SPT) insulators in 3 space dimensions. We demonstrate that the differences with conventional insulators are captured simply in a dual vortex description. As an example we show that a previously studied bosonic topological insulator with both global U(1) and time-reversal symmetry can be described by a rather simple wave function written in terms of dual \"vortex ribbons\". The wave function is a superposition of all the vortex ribbon configurations of the boson, and a factor (-1) is associated wi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.6172","kind":"arxiv","version":3},"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":"2026-05-18T01:51:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VeymCoU/zbEnsF6L6sOsPv03DxdlHvgrysxG4zwtkPO9cCpikoECjE0skiJJLUuK1VIFlVczigxZ5F3eUEcCBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T18:54:12.620277Z"},"content_sha256":"eb0659210163516d417cdd44f4e1bfaa0206681eb912a32c92dcae5f9f5e2fdc","schema_version":"1.0","event_id":"sha256:eb0659210163516d417cdd44f4e1bfaa0206681eb912a32c92dcae5f9f5e2fdc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LHRGQQGD5OJ747RD7LLM5C3PHL/bundle.json","state_url":"https://pith.science/pith/LHRGQQGD5OJ747RD7LLM5C3PHL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LHRGQQGD5OJ747RD7LLM5C3PHL/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":"2026-06-06T18:54:12Z","links":{"resolver":"https://pith.science/pith/LHRGQQGD5OJ747RD7LLM5C3PHL","bundle":"https://pith.science/pith/LHRGQQGD5OJ747RD7LLM5C3PHL/bundle.json","state":"https://pith.science/pith/LHRGQQGD5OJ747RD7LLM5C3PHL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LHRGQQGD5OJ747RD7LLM5C3PHL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:LHRGQQGD5OJ747RD7LLM5C3PHL","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":"080f7d80ac876aaded33478e4998e4f145e94ffc5bddfd67051953687ba88f0c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-01-25T21:01:06Z","title_canon_sha256":"33506330b65d3151daf296cb83ede778a4834e8b17f243b8c65fcb2646102fab"},"schema_version":"1.0","source":{"id":"1301.6172","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.6172","created_at":"2026-05-18T01:51:58Z"},{"alias_kind":"arxiv_version","alias_value":"1301.6172v3","created_at":"2026-05-18T01:51:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.6172","created_at":"2026-05-18T01:51:58Z"},{"alias_kind":"pith_short_12","alias_value":"LHRGQQGD5OJ7","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LHRGQQGD5OJ747RD","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LHRGQQGD","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:eb0659210163516d417cdd44f4e1bfaa0206681eb912a32c92dcae5f9f5e2fdc","target":"graph","created_at":"2026-05-18T01:51:58Z","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":"We study the structure of the ground state wave functions of bosonic Symmetry Protected Topological (SPT) insulators in 3 space dimensions. We demonstrate that the differences with conventional insulators are captured simply in a dual vortex description. As an example we show that a previously studied bosonic topological insulator with both global U(1) and time-reversal symmetry can be described by a rather simple wave function written in terms of dual \"vortex ribbons\". The wave function is a superposition of all the vortex ribbon configurations of the boson, and a factor (-1) is associated wi","authors_text":"Cenke Xu, T. Senthil","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-01-25T21:01:06Z","title":"Wave Functions of Bosonic Symmetry Protected Topological Phases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.6172","kind":"arxiv","version":3},"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":"sha256:49ae73c4ecc3a46e0765fb67136a1e006a9fbb432cb38bbcb12da82692da352b","target":"record","created_at":"2026-05-18T01:51:58Z","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":"080f7d80ac876aaded33478e4998e4f145e94ffc5bddfd67051953687ba88f0c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-01-25T21:01:06Z","title_canon_sha256":"33506330b65d3151daf296cb83ede778a4834e8b17f243b8c65fcb2646102fab"},"schema_version":"1.0","source":{"id":"1301.6172","kind":"arxiv","version":3}},"canonical_sha256":"59e26840c3eb93fe7e23fad6ce8b6f3acd5d9ff4823eeed11e99512c1e3f2fff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"59e26840c3eb93fe7e23fad6ce8b6f3acd5d9ff4823eeed11e99512c1e3f2fff","first_computed_at":"2026-05-18T01:51:58.288709Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:51:58.288709Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hTBNIKOkxjuHQBsq792R6Yr81cDLImMmVZmder6WSW2WfM+2+iz71F0csP2fwbKpJT923X6AC8G516NT6wvkCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:51:58.289362Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.6172","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:49ae73c4ecc3a46e0765fb67136a1e006a9fbb432cb38bbcb12da82692da352b","sha256:eb0659210163516d417cdd44f4e1bfaa0206681eb912a32c92dcae5f9f5e2fdc"],"state_sha256":"3103cfd175505a00ef194c1c006f1531ee3f8ef5b471a060f403306862f64e46"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p3Q/6Y3Q0zzvEZoOk9VJh+iQ44m2WtC6xhxuwrEOKp2eKdaFebfax/cN3hXM5C1Wcnk5C8pCTFKJkGp36hscBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T18:54:12.622382Z","bundle_sha256":"fc86617c5f95bcaffab555e2ac36e401e1bfdaf126619f72711a766c221bc849"}}