{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:X3CZM4KPMHA6CYTYY32XQOTQ5F","short_pith_number":"pith:X3CZM4KP","canonical_record":{"source":{"id":"1804.00054","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-03-30T21:00:06Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"8c5fddbd80b5affdccd83f0b261158ccf699467532e4ed044064e825b81b1a49","abstract_canon_sha256":"4f5549b95b16fcc110a6946b172a381a7bffa8a3c163b0404b1d6481f4f1c526"},"schema_version":"1.0"},"canonical_sha256":"bec596714f61c1e16278c6f5783a70e95e28f8827babda2efdec1b505e1cb340","source":{"kind":"arxiv","id":"1804.00054","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.00054","created_at":"2026-05-18T00:09:52Z"},{"alias_kind":"arxiv_version","alias_value":"1804.00054v2","created_at":"2026-05-18T00:09:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.00054","created_at":"2026-05-18T00:09:52Z"},{"alias_kind":"pith_short_12","alias_value":"X3CZM4KPMHA6","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"X3CZM4KPMHA6CYTY","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"X3CZM4KP","created_at":"2026-05-18T12:33:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:X3CZM4KPMHA6CYTYY32XQOTQ5F","target":"record","payload":{"canonical_record":{"source":{"id":"1804.00054","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-03-30T21:00:06Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"8c5fddbd80b5affdccd83f0b261158ccf699467532e4ed044064e825b81b1a49","abstract_canon_sha256":"4f5549b95b16fcc110a6946b172a381a7bffa8a3c163b0404b1d6481f4f1c526"},"schema_version":"1.0"},"canonical_sha256":"bec596714f61c1e16278c6f5783a70e95e28f8827babda2efdec1b505e1cb340","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:09:52.431923Z","signature_b64":"T5DcqENF3gzf9GuzQ7R5PuQBSMC4N/Nx9lK5OVJ8ZYvbxX7ErVq7fw7ldOnlfmw+u+POJKDi5dIAAyaW2qBsDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bec596714f61c1e16278c6f5783a70e95e28f8827babda2efdec1b505e1cb340","last_reissued_at":"2026-05-18T00:09:52.431252Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:09:52.431252Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.00054","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":"2026-05-18T00:09:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DsiKhV3VbYQ/fzDNLikLFAObqhUhHqHdi/xZ2ePx1MVCNsbnZq1A2FvCuCAfawBZBb+hWmjMTt+PhRU9AiK2Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T05:33:15.355354Z"},"content_sha256":"b8b1dc360d6cc41036c3a0d5ecd0f0776511dd3fbe1629c512233958f2079fce","schema_version":"1.0","event_id":"sha256:b8b1dc360d6cc41036c3a0d5ecd0f0776511dd3fbe1629c512233958f2079fce"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:X3CZM4KPMHA6CYTYY32XQOTQ5F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Transition between algebraic and $\\mathbb{Z}_2$ quantum spin liquids at large $N$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.str-el","authors_text":"Ahmed Rayyan, Chien-Hung Lin, Joseph Maciejko, Nikolai Zerf, Rufus Boyack","submitted_at":"2018-03-30T21:00:06Z","abstract_excerpt":"We present a field theory description of a quantum phase transition in two spatial dimensions between a $U(1)$ algebraic spin liquid with $N$ flavors of gapless two-component Dirac fermionic spinons and a gapped $\\mathbb{Z}_2$ spin liquid. This transition is driven by spinon pairing and concomitant Higgsing of the emergent $U(1)$ gauge field. For sufficiently large $N$ we find a quantum critical point with non-Gaussian exponents that is stable against instanton proliferation. We compute critical exponents using either $1/N$ or $\\epsilon$ expansions, and give estimates of the critical value of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.00054","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":"2026-05-18T00:09:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aSSzCLAGEOBhb8ZkK1u1FSMnWLsGFUDi6Gj9CZK7a6jaHZbh+E6xkfpp84Q3bmwQYrTwJp7uZ6IaFIekJ/o2DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T05:33:15.355974Z"},"content_sha256":"bbaf42ba36bed633de48a26057997fe2febc6851c47f9a0838f75c83d0546eb0","schema_version":"1.0","event_id":"sha256:bbaf42ba36bed633de48a26057997fe2febc6851c47f9a0838f75c83d0546eb0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X3CZM4KPMHA6CYTYY32XQOTQ5F/bundle.json","state_url":"https://pith.science/pith/X3CZM4KPMHA6CYTYY32XQOTQ5F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X3CZM4KPMHA6CYTYY32XQOTQ5F/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":"2026-06-30T05:33:15Z","links":{"resolver":"https://pith.science/pith/X3CZM4KPMHA6CYTYY32XQOTQ5F","bundle":"https://pith.science/pith/X3CZM4KPMHA6CYTYY32XQOTQ5F/bundle.json","state":"https://pith.science/pith/X3CZM4KPMHA6CYTYY32XQOTQ5F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X3CZM4KPMHA6CYTYY32XQOTQ5F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:X3CZM4KPMHA6CYTYY32XQOTQ5F","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":"4f5549b95b16fcc110a6946b172a381a7bffa8a3c163b0404b1d6481f4f1c526","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-03-30T21:00:06Z","title_canon_sha256":"8c5fddbd80b5affdccd83f0b261158ccf699467532e4ed044064e825b81b1a49"},"schema_version":"1.0","source":{"id":"1804.00054","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.00054","created_at":"2026-05-18T00:09:52Z"},{"alias_kind":"arxiv_version","alias_value":"1804.00054v2","created_at":"2026-05-18T00:09:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.00054","created_at":"2026-05-18T00:09:52Z"},{"alias_kind":"pith_short_12","alias_value":"X3CZM4KPMHA6","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"X3CZM4KPMHA6CYTY","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"X3CZM4KP","created_at":"2026-05-18T12:33:01Z"}],"graph_snapshots":[{"event_id":"sha256:bbaf42ba36bed633de48a26057997fe2febc6851c47f9a0838f75c83d0546eb0","target":"graph","created_at":"2026-05-18T00:09:52Z","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 present a field theory description of a quantum phase transition in two spatial dimensions between a $U(1)$ algebraic spin liquid with $N$ flavors of gapless two-component Dirac fermionic spinons and a gapped $\\mathbb{Z}_2$ spin liquid. This transition is driven by spinon pairing and concomitant Higgsing of the emergent $U(1)$ gauge field. For sufficiently large $N$ we find a quantum critical point with non-Gaussian exponents that is stable against instanton proliferation. We compute critical exponents using either $1/N$ or $\\epsilon$ expansions, and give estimates of the critical value of ","authors_text":"Ahmed Rayyan, Chien-Hung Lin, Joseph Maciejko, Nikolai Zerf, Rufus Boyack","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-03-30T21:00:06Z","title":"Transition between algebraic and $\\mathbb{Z}_2$ quantum spin liquids at large $N$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.00054","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:b8b1dc360d6cc41036c3a0d5ecd0f0776511dd3fbe1629c512233958f2079fce","target":"record","created_at":"2026-05-18T00:09:52Z","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":"4f5549b95b16fcc110a6946b172a381a7bffa8a3c163b0404b1d6481f4f1c526","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-03-30T21:00:06Z","title_canon_sha256":"8c5fddbd80b5affdccd83f0b261158ccf699467532e4ed044064e825b81b1a49"},"schema_version":"1.0","source":{"id":"1804.00054","kind":"arxiv","version":2}},"canonical_sha256":"bec596714f61c1e16278c6f5783a70e95e28f8827babda2efdec1b505e1cb340","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bec596714f61c1e16278c6f5783a70e95e28f8827babda2efdec1b505e1cb340","first_computed_at":"2026-05-18T00:09:52.431252Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:09:52.431252Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T5DcqENF3gzf9GuzQ7R5PuQBSMC4N/Nx9lK5OVJ8ZYvbxX7ErVq7fw7ldOnlfmw+u+POJKDi5dIAAyaW2qBsDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:09:52.431923Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.00054","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b8b1dc360d6cc41036c3a0d5ecd0f0776511dd3fbe1629c512233958f2079fce","sha256:bbaf42ba36bed633de48a26057997fe2febc6851c47f9a0838f75c83d0546eb0"],"state_sha256":"6de900685a948d4d155cf8386a1c8037a94995915a2fa695e66a7d70cab42424"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IuCvSk2QK+D+ZY57YK9D48YL6AcXU7VOzBVw8STRCLUtep8VZ2ixbAhy7Yt7EO2ZEwBa4ptmP7PWcdfzrYFOBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T05:33:15.361253Z","bundle_sha256":"324c8a65eb7c35675971c725b9755d5a56df831ea312fb9188239a9657fb4f20"}}