{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:GJPORLGRDTALOJK4M2JVNG5CCZ","short_pith_number":"pith:GJPORLGR","canonical_record":{"source":{"id":"1501.01395","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-01-07T08:48:47Z","cross_cats_sorted":[],"title_canon_sha256":"67c153cbae45928a55ad2db6cf7339d3c57b1783d542ca76b8ee9135a71fa2da","abstract_canon_sha256":"84ee2bfde0f74ebb9334120b5ef1ccfef3e7c9dc8b83e06f3e4cef71fe366ff3"},"schema_version":"1.0"},"canonical_sha256":"325ee8acd11cc0b7255c6693569ba216633bfdc6a7c52df2ee769759dacf1ee9","source":{"kind":"arxiv","id":"1501.01395","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.01395","created_at":"2026-05-18T00:28:47Z"},{"alias_kind":"arxiv_version","alias_value":"1501.01395v1","created_at":"2026-05-18T00:28:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.01395","created_at":"2026-05-18T00:28:47Z"},{"alias_kind":"pith_short_12","alias_value":"GJPORLGRDTAL","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"GJPORLGRDTALOJK4","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"GJPORLGR","created_at":"2026-05-18T12:29:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:GJPORLGRDTALOJK4M2JVNG5CCZ","target":"record","payload":{"canonical_record":{"source":{"id":"1501.01395","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-01-07T08:48:47Z","cross_cats_sorted":[],"title_canon_sha256":"67c153cbae45928a55ad2db6cf7339d3c57b1783d542ca76b8ee9135a71fa2da","abstract_canon_sha256":"84ee2bfde0f74ebb9334120b5ef1ccfef3e7c9dc8b83e06f3e4cef71fe366ff3"},"schema_version":"1.0"},"canonical_sha256":"325ee8acd11cc0b7255c6693569ba216633bfdc6a7c52df2ee769759dacf1ee9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:47.299733Z","signature_b64":"B2zlQ8M0+Lj0sZXSdjtDBhuB4l04ZA5FvCuauvU2QUe3drvnUwenkVyRO7C4hxW9VAUKJ59IK5tsqXZcvrQMDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"325ee8acd11cc0b7255c6693569ba216633bfdc6a7c52df2ee769759dacf1ee9","last_reissued_at":"2026-05-18T00:28:47.298966Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:47.298966Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.01395","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":"2026-05-18T00:28:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mSd5L76cMlnKkxee+R+TUBM3WJd+86gSPc3hqGX1cE0/lIjKc+nCIeGnXcOQaamgc1GtdDZz9JcflryCg820Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T18:46:38.251952Z"},"content_sha256":"13d3f8c0ce33515a75a5f54cae34ded9cfa93cb93db8b6113f08ddac98517c44","schema_version":"1.0","event_id":"sha256:13d3f8c0ce33515a75a5f54cae34ded9cfa93cb93db8b6113f08ddac98517c44"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:GJPORLGRDTALOJK4M2JVNG5CCZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Measuring space-group symmetry fractionalization in Z$_2$ spin liquids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Ashvin Vishwanath, Michael Zaletel, Yuan-Ming Lu","submitted_at":"2015-01-07T08:48:47Z","abstract_excerpt":"The interplay of symmetry and topological order leads to a variety of distinct phases of matter, the Symmetry Enriched Topological (SET) phases. Here we discuss physical observables that distinguish different SETs in the context of Z$_2$ quantum spin liquids with SU(2) spin rotation invariance. We focus on the cylinder geometry, and show that ground state quantum numbers for different topological sectors are robust invariants which can be used to identify the SET phase. More generally these invariants are related to 1D symmetry protected topological phases when viewing the cylinder geometry as"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.01395","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":"2026-05-18T00:28:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FHckXFNL3t7wFyxKy1GG15MZ1XJHXjsNv0c5qI2YjVF1IDcqXyLcsFQJQ2vaUvutVNB0yLoyS1BawrOg+kppDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T18:46:38.252296Z"},"content_sha256":"4ff690a92e778468755a3380b068ef40606d45dafed40e668d223ce268cfa8aa","schema_version":"1.0","event_id":"sha256:4ff690a92e778468755a3380b068ef40606d45dafed40e668d223ce268cfa8aa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GJPORLGRDTALOJK4M2JVNG5CCZ/bundle.json","state_url":"https://pith.science/pith/GJPORLGRDTALOJK4M2JVNG5CCZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GJPORLGRDTALOJK4M2JVNG5CCZ/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":"2026-06-28T18:46:38Z","links":{"resolver":"https://pith.science/pith/GJPORLGRDTALOJK4M2JVNG5CCZ","bundle":"https://pith.science/pith/GJPORLGRDTALOJK4M2JVNG5CCZ/bundle.json","state":"https://pith.science/pith/GJPORLGRDTALOJK4M2JVNG5CCZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GJPORLGRDTALOJK4M2JVNG5CCZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:GJPORLGRDTALOJK4M2JVNG5CCZ","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":"84ee2bfde0f74ebb9334120b5ef1ccfef3e7c9dc8b83e06f3e4cef71fe366ff3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-01-07T08:48:47Z","title_canon_sha256":"67c153cbae45928a55ad2db6cf7339d3c57b1783d542ca76b8ee9135a71fa2da"},"schema_version":"1.0","source":{"id":"1501.01395","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.01395","created_at":"2026-05-18T00:28:47Z"},{"alias_kind":"arxiv_version","alias_value":"1501.01395v1","created_at":"2026-05-18T00:28:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.01395","created_at":"2026-05-18T00:28:47Z"},{"alias_kind":"pith_short_12","alias_value":"GJPORLGRDTAL","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"GJPORLGRDTALOJK4","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"GJPORLGR","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:4ff690a92e778468755a3380b068ef40606d45dafed40e668d223ce268cfa8aa","target":"graph","created_at":"2026-05-18T00:28:47Z","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"},"paper":{"abstract_excerpt":"The interplay of symmetry and topological order leads to a variety of distinct phases of matter, the Symmetry Enriched Topological (SET) phases. Here we discuss physical observables that distinguish different SETs in the context of Z$_2$ quantum spin liquids with SU(2) spin rotation invariance. We focus on the cylinder geometry, and show that ground state quantum numbers for different topological sectors are robust invariants which can be used to identify the SET phase. More generally these invariants are related to 1D symmetry protected topological phases when viewing the cylinder geometry as","authors_text":"Ashvin Vishwanath, Michael Zaletel, Yuan-Ming Lu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-01-07T08:48:47Z","title":"Measuring space-group symmetry fractionalization in Z$_2$ spin liquids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.01395","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":"sha256:13d3f8c0ce33515a75a5f54cae34ded9cfa93cb93db8b6113f08ddac98517c44","target":"record","created_at":"2026-05-18T00:28:47Z","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":"84ee2bfde0f74ebb9334120b5ef1ccfef3e7c9dc8b83e06f3e4cef71fe366ff3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-01-07T08:48:47Z","title_canon_sha256":"67c153cbae45928a55ad2db6cf7339d3c57b1783d542ca76b8ee9135a71fa2da"},"schema_version":"1.0","source":{"id":"1501.01395","kind":"arxiv","version":1}},"canonical_sha256":"325ee8acd11cc0b7255c6693569ba216633bfdc6a7c52df2ee769759dacf1ee9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"325ee8acd11cc0b7255c6693569ba216633bfdc6a7c52df2ee769759dacf1ee9","first_computed_at":"2026-05-18T00:28:47.298966Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:28:47.298966Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"B2zlQ8M0+Lj0sZXSdjtDBhuB4l04ZA5FvCuauvU2QUe3drvnUwenkVyRO7C4hxW9VAUKJ59IK5tsqXZcvrQMDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:28:47.299733Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.01395","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:13d3f8c0ce33515a75a5f54cae34ded9cfa93cb93db8b6113f08ddac98517c44","sha256:4ff690a92e778468755a3380b068ef40606d45dafed40e668d223ce268cfa8aa"],"state_sha256":"25d1ebdcef1a105c0d60f77ca8235ec0eee3a31c63a1f2fa6c9d9d8fc1dcd3a5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GOKKAu1ZA3c3bn0MZ1muk+x8hSjAFtaWZ2gM3jPp3subi69p4hqRI0fyWbkVGKcw+EjyOF2j0UBYW1vQ88JRAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T18:46:38.254217Z","bundle_sha256":"bfcc1c4d2b2b6ae7291663d31f7a907eab159f310f94cf2f109abde6d0c22e61"}}