{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:Z2VBVVUDEKQRCHPE5HX6O2JRRF","short_pith_number":"pith:Z2VBVVUD","canonical_record":{"source":{"id":"1212.4109","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-12-17T19:20:22Z","cross_cats_sorted":["hep-lat","hep-th","quant-ph"],"title_canon_sha256":"f1a8e15f2d9617db01ca223e1b4d0775a5f32d9ae2205f57670f79044d9e1499","abstract_canon_sha256":"050827260006f43adfafe5564b0fa38c90e723907b58ac2352b23d6e0907fbbf"},"schema_version":"1.0"},"canonical_sha256":"ceaa1ad68322a1111de4e9efe769318972fb72095c843acd5ba056193d763fbc","source":{"kind":"arxiv","id":"1212.4109","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.4109","created_at":"2026-05-18T03:29:06Z"},{"alias_kind":"arxiv_version","alias_value":"1212.4109v3","created_at":"2026-05-18T03:29:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.4109","created_at":"2026-05-18T03:29:06Z"},{"alias_kind":"pith_short_12","alias_value":"Z2VBVVUDEKQR","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"Z2VBVVUDEKQRCHPE","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"Z2VBVVUD","created_at":"2026-05-18T12:27:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:Z2VBVVUDEKQRCHPE5HX6O2JRRF","target":"record","payload":{"canonical_record":{"source":{"id":"1212.4109","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-12-17T19:20:22Z","cross_cats_sorted":["hep-lat","hep-th","quant-ph"],"title_canon_sha256":"f1a8e15f2d9617db01ca223e1b4d0775a5f32d9ae2205f57670f79044d9e1499","abstract_canon_sha256":"050827260006f43adfafe5564b0fa38c90e723907b58ac2352b23d6e0907fbbf"},"schema_version":"1.0"},"canonical_sha256":"ceaa1ad68322a1111de4e9efe769318972fb72095c843acd5ba056193d763fbc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:29:06.453039Z","signature_b64":"PNF6suhUE/9AZdLGV9V5274JG6gLh0St5UfeN1PXn4oCp7bLBNYJx4unbR+f4jxFD+RubnjWGmu9kbF7AlUmAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ceaa1ad68322a1111de4e9efe769318972fb72095c843acd5ba056193d763fbc","last_reissued_at":"2026-05-18T03:29:06.452630Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:29:06.452630Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.4109","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":"2026-05-18T03:29:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"epiWN3S5r/ymnuXBBTZHsda4wcczAal13Ul/CyRZyBp0LChXElwc5LMxXHS+ThwYqXsjOam3pNci5bQr9CdsDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T07:22:14.651227Z"},"content_sha256":"95ee23a905e1d79506b2e3b3cd76f13ff94318ae4c7b8a0f503508d989a0e3b6","schema_version":"1.0","event_id":"sha256:95ee23a905e1d79506b2e3b3cd76f13ff94318ae4c7b8a0f503508d989a0e3b6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:Z2VBVVUDEKQRCHPE5HX6O2JRRF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Topological Phase Transitions in the Golden String-Net Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-th","quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"J. Vidal, K. P. Schmidt, M. D. Schulz, S. Dusuel","submitted_at":"2012-12-17T19:20:22Z","abstract_excerpt":"We examine the zero-temperature phase diagram of the two-dimensional Levin-Wen string-net model with Fibonacci anyons in the presence of competing interactions. Combining high-order series expansions around three exactly solvable points and exact diagonalizations, we find that the non-Abelian doubled Fibonacci topological phase is separated from two nontopological phases by different second-order quantum critical points, the positions of which are computed accurately. These trivial phases are separated by a first-order transition occurring at a fourth exactly solvable point where the ground-st"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.4109","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":"2026-05-18T03:29:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0KHCUcpq/GhELBMjeQZczQ0ELnO4BLI7kxYJk2dSqsmWkBKPvgYk4ZQd8opScX66z1QqpnG3lsc5iPOGYb+JBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T07:22:14.651607Z"},"content_sha256":"23fd2d401828b1fdf465183f26e07885c6fea28a105815389b62c936f4043c64","schema_version":"1.0","event_id":"sha256:23fd2d401828b1fdf465183f26e07885c6fea28a105815389b62c936f4043c64"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z2VBVVUDEKQRCHPE5HX6O2JRRF/bundle.json","state_url":"https://pith.science/pith/Z2VBVVUDEKQRCHPE5HX6O2JRRF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z2VBVVUDEKQRCHPE5HX6O2JRRF/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":"2026-05-28T07:22:14Z","links":{"resolver":"https://pith.science/pith/Z2VBVVUDEKQRCHPE5HX6O2JRRF","bundle":"https://pith.science/pith/Z2VBVVUDEKQRCHPE5HX6O2JRRF/bundle.json","state":"https://pith.science/pith/Z2VBVVUDEKQRCHPE5HX6O2JRRF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z2VBVVUDEKQRCHPE5HX6O2JRRF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:Z2VBVVUDEKQRCHPE5HX6O2JRRF","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":"050827260006f43adfafe5564b0fa38c90e723907b58ac2352b23d6e0907fbbf","cross_cats_sorted":["hep-lat","hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-12-17T19:20:22Z","title_canon_sha256":"f1a8e15f2d9617db01ca223e1b4d0775a5f32d9ae2205f57670f79044d9e1499"},"schema_version":"1.0","source":{"id":"1212.4109","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.4109","created_at":"2026-05-18T03:29:06Z"},{"alias_kind":"arxiv_version","alias_value":"1212.4109v3","created_at":"2026-05-18T03:29:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.4109","created_at":"2026-05-18T03:29:06Z"},{"alias_kind":"pith_short_12","alias_value":"Z2VBVVUDEKQR","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"Z2VBVVUDEKQRCHPE","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"Z2VBVVUD","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:23fd2d401828b1fdf465183f26e07885c6fea28a105815389b62c936f4043c64","target":"graph","created_at":"2026-05-18T03:29:06Z","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 examine the zero-temperature phase diagram of the two-dimensional Levin-Wen string-net model with Fibonacci anyons in the presence of competing interactions. Combining high-order series expansions around three exactly solvable points and exact diagonalizations, we find that the non-Abelian doubled Fibonacci topological phase is separated from two nontopological phases by different second-order quantum critical points, the positions of which are computed accurately. These trivial phases are separated by a first-order transition occurring at a fourth exactly solvable point where the ground-st","authors_text":"J. Vidal, K. P. Schmidt, M. D. Schulz, S. Dusuel","cross_cats":["hep-lat","hep-th","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-12-17T19:20:22Z","title":"Topological Phase Transitions in the Golden String-Net Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.4109","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":"sha256:95ee23a905e1d79506b2e3b3cd76f13ff94318ae4c7b8a0f503508d989a0e3b6","target":"record","created_at":"2026-05-18T03:29:06Z","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":"050827260006f43adfafe5564b0fa38c90e723907b58ac2352b23d6e0907fbbf","cross_cats_sorted":["hep-lat","hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-12-17T19:20:22Z","title_canon_sha256":"f1a8e15f2d9617db01ca223e1b4d0775a5f32d9ae2205f57670f79044d9e1499"},"schema_version":"1.0","source":{"id":"1212.4109","kind":"arxiv","version":3}},"canonical_sha256":"ceaa1ad68322a1111de4e9efe769318972fb72095c843acd5ba056193d763fbc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ceaa1ad68322a1111de4e9efe769318972fb72095c843acd5ba056193d763fbc","first_computed_at":"2026-05-18T03:29:06.452630Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:29:06.452630Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PNF6suhUE/9AZdLGV9V5274JG6gLh0St5UfeN1PXn4oCp7bLBNYJx4unbR+f4jxFD+RubnjWGmu9kbF7AlUmAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:29:06.453039Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.4109","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:95ee23a905e1d79506b2e3b3cd76f13ff94318ae4c7b8a0f503508d989a0e3b6","sha256:23fd2d401828b1fdf465183f26e07885c6fea28a105815389b62c936f4043c64"],"state_sha256":"e1f3002eed4b5b167666f54cddcc26be0f8136732e1c5e7ba49b7d4487801e13"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4KXZ6Bie4F/ItRAHF3OquRUQAY5Qkww2gevzk47c3On4AUWyuhU7+MzxEVDdk/5rYTXWbLbBtspvX6S/JgrWAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T07:22:14.653553Z","bundle_sha256":"d7c329d2fe1f19931d2c63998fd7bc28c0de7314dcdbab3bd3d847f01e9be6af"}}