{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:7QKNUR3KJ2ZDNODHDTTP4BFDHP","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":"f6e4d6137a4f6c683d72654583d38dff157f90e731fb4a84ef6758aba7dad4dc","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-08-22T17:59:37Z","title_canon_sha256":"f444182dc8a0bda7429cb2972bfc49009ecd6239855f729b3b1c0d32b9ea84b2"},"schema_version":"1.0","source":{"id":"1808.07465","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.07465","created_at":"2026-05-17T23:44:59Z"},{"alias_kind":"arxiv_version","alias_value":"1808.07465v1","created_at":"2026-05-17T23:44:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.07465","created_at":"2026-05-17T23:44:59Z"},{"alias_kind":"pith_short_12","alias_value":"7QKNUR3KJ2ZD","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"7QKNUR3KJ2ZDNODH","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"7QKNUR3K","created_at":"2026-05-18T12:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:e15957b5285d468e2c27659c737667c9324f8039a94036989ccdda4284474781","target":"graph","created_at":"2026-05-17T23:44:59Z","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":"Continuous quantum phase transitions that are beyond the conventional paradigm of fluctuations of a symmetry breaking order parameter are challenging for theory. These phase transitions often involve emergent deconfined gauge fields at the critical points as demonstrated in 2+1-dimensions. Examples include phase transitions in quantum magnetism as well as those between Symmetry Protected Topological phases. In this paper, we present several examples of Deconfined Quantum Critical Points (DQCP) between Symmetry Protected Topological phases in 3+1-D for both bosonic and fermionic systems. Some o","authors_text":"T. Senthil, Zhen Bi","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-08-22T17:59:37Z","title":"An Adventure in Topological Phase Transitions in 3 + 1-D: Non-abelian Deconfined Quantum Criticalities and a Possible Duality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.07465","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":"sha256:5970756de159e6c323f6af83d5c306a074401a8c61add36e23e0f6186610ac23","target":"record","created_at":"2026-05-17T23:44:59Z","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":"f6e4d6137a4f6c683d72654583d38dff157f90e731fb4a84ef6758aba7dad4dc","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-08-22T17:59:37Z","title_canon_sha256":"f444182dc8a0bda7429cb2972bfc49009ecd6239855f729b3b1c0d32b9ea84b2"},"schema_version":"1.0","source":{"id":"1808.07465","kind":"arxiv","version":1}},"canonical_sha256":"fc14da476a4eb236b8671ce6fe04a33bfc992241bd168e3e9ef1252912f41d3d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc14da476a4eb236b8671ce6fe04a33bfc992241bd168e3e9ef1252912f41d3d","first_computed_at":"2026-05-17T23:44:59.166705Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:59.166705Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jrq4ajab/Dcy/yQAKVpJKeLflzZtj94d3KRTVT33M+ua6mUMgnMRtLBqKFaloUDiXhiLrzYENcxzjAxRDQ+rCw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:59.167262Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.07465","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5970756de159e6c323f6af83d5c306a074401a8c61add36e23e0f6186610ac23","sha256:e15957b5285d468e2c27659c737667c9324f8039a94036989ccdda4284474781"],"state_sha256":"e7a772aa0e158a05c80cdacd466cd33de923e800cd836d54397c15db3047944d"}