{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:NUFFDJZUJASRNPM7UJMNWLL35X","short_pith_number":"pith:NUFFDJZU","canonical_record":{"source":{"id":"1308.4673","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-08-21T19:54:32Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"459f8784da19e959322439cfd45fb54a36f28bdd445b722fe4076d05e0daf157","abstract_canon_sha256":"49d9f184ed9c95626dfd98fc6723df9cb2166af333744b24840e26eea3529b1e"},"schema_version":"1.0"},"canonical_sha256":"6d0a51a734482516bd9fa258db2d7bede674209142585f4c09deb67f3b2fbdb9","source":{"kind":"arxiv","id":"1308.4673","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.4673","created_at":"2026-05-18T02:32:00Z"},{"alias_kind":"arxiv_version","alias_value":"1308.4673v1","created_at":"2026-05-18T02:32:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.4673","created_at":"2026-05-18T02:32:00Z"},{"alias_kind":"pith_short_12","alias_value":"NUFFDJZUJASR","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NUFFDJZUJASRNPM7","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NUFFDJZU","created_at":"2026-05-18T12:27:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:NUFFDJZUJASRNPM7UJMNWLL35X","target":"record","payload":{"canonical_record":{"source":{"id":"1308.4673","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-08-21T19:54:32Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"459f8784da19e959322439cfd45fb54a36f28bdd445b722fe4076d05e0daf157","abstract_canon_sha256":"49d9f184ed9c95626dfd98fc6723df9cb2166af333744b24840e26eea3529b1e"},"schema_version":"1.0"},"canonical_sha256":"6d0a51a734482516bd9fa258db2d7bede674209142585f4c09deb67f3b2fbdb9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:00.326033Z","signature_b64":"EypNCkPQTx6P/OkOZ44A2DCHSYVD4KcIkyqktkzqIWwbKBhe8/SerwHQfWMImjItBM9F9/w3/vR3t6prN1wwBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6d0a51a734482516bd9fa258db2d7bede674209142585f4c09deb67f3b2fbdb9","last_reissued_at":"2026-05-18T02:32:00.325535Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:00.325535Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1308.4673","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":"2026-05-18T02:32:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RNtqBBoSyTSjFDs5HApV5EjAJ3EHY6Eiz4KbowEpozJByx3HmIgfHuIvN1d7WB/vEHQi6k6DTKtYNacDN/nmDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T13:49:29.955286Z"},"content_sha256":"8d0f5515d3801cd10115ebed6ba62b087ba146c3c628955788f547753aeca033","schema_version":"1.0","event_id":"sha256:8d0f5515d3801cd10115ebed6ba62b087ba146c3c628955788f547753aeca033"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:NUFFDJZUJASRNPM7UJMNWLL35X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Symmetry Enriched Phases via Pseudo Anyon Condensation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"cond-mat.str-el","authors_text":"Ling-Yan Hung, Yidun Wan","submitted_at":"2013-08-21T19:54:32Z","abstract_excerpt":"We show that a large class of symmetry enriched (topological) phases of matter in 2+1 dimensions can be embedded in \"larger\" topological phases- phases describable by larger hidden Hopf symmetries. Such an embedding is analogous to anyon condensation, although no physical condensation actually occurs. This generalizes the Landau-Ginzburg paradigm of symmetry breaking from continuous groups to quantum groups- in fact algebras- and offers a potential classification of the symmetry enriched (topological) phases thus obtained, including symmetry protected trivial phases as well, in a unified frame"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.4673","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":"2026-05-18T02:32:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6ijH3kKOJQ+bBIe6fpI0j53oRiRxRK1jKQGdsXeZMj3fEjqJYLEpymC8AFQMOPAjQsGuPhbX9D94WfXrTf0qBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T13:49:29.955735Z"},"content_sha256":"51564269b4fc47f0a88706e992ad5d9d8c0d8f205401d592bb924ca99ad657e8","schema_version":"1.0","event_id":"sha256:51564269b4fc47f0a88706e992ad5d9d8c0d8f205401d592bb924ca99ad657e8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NUFFDJZUJASRNPM7UJMNWLL35X/bundle.json","state_url":"https://pith.science/pith/NUFFDJZUJASRNPM7UJMNWLL35X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NUFFDJZUJASRNPM7UJMNWLL35X/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":"2026-08-08T13:49:29Z","links":{"resolver":"https://pith.science/pith/NUFFDJZUJASRNPM7UJMNWLL35X","bundle":"https://pith.science/pith/NUFFDJZUJASRNPM7UJMNWLL35X/bundle.json","state":"https://pith.science/pith/NUFFDJZUJASRNPM7UJMNWLL35X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NUFFDJZUJASRNPM7UJMNWLL35X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:NUFFDJZUJASRNPM7UJMNWLL35X","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":"49d9f184ed9c95626dfd98fc6723df9cb2166af333744b24840e26eea3529b1e","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-08-21T19:54:32Z","title_canon_sha256":"459f8784da19e959322439cfd45fb54a36f28bdd445b722fe4076d05e0daf157"},"schema_version":"1.0","source":{"id":"1308.4673","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.4673","created_at":"2026-05-18T02:32:00Z"},{"alias_kind":"arxiv_version","alias_value":"1308.4673v1","created_at":"2026-05-18T02:32:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.4673","created_at":"2026-05-18T02:32:00Z"},{"alias_kind":"pith_short_12","alias_value":"NUFFDJZUJASR","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NUFFDJZUJASRNPM7","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NUFFDJZU","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:51564269b4fc47f0a88706e992ad5d9d8c0d8f205401d592bb924ca99ad657e8","target":"graph","created_at":"2026-05-18T02:32:00Z","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 show that a large class of symmetry enriched (topological) phases of matter in 2+1 dimensions can be embedded in \"larger\" topological phases- phases describable by larger hidden Hopf symmetries. Such an embedding is analogous to anyon condensation, although no physical condensation actually occurs. This generalizes the Landau-Ginzburg paradigm of symmetry breaking from continuous groups to quantum groups- in fact algebras- and offers a potential classification of the symmetry enriched (topological) phases thus obtained, including symmetry protected trivial phases as well, in a unified frame","authors_text":"Ling-Yan Hung, Yidun Wan","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-08-21T19:54:32Z","title":"Symmetry Enriched Phases via Pseudo Anyon Condensation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.4673","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":"sha256:8d0f5515d3801cd10115ebed6ba62b087ba146c3c628955788f547753aeca033","target":"record","created_at":"2026-05-18T02:32:00Z","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":"49d9f184ed9c95626dfd98fc6723df9cb2166af333744b24840e26eea3529b1e","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-08-21T19:54:32Z","title_canon_sha256":"459f8784da19e959322439cfd45fb54a36f28bdd445b722fe4076d05e0daf157"},"schema_version":"1.0","source":{"id":"1308.4673","kind":"arxiv","version":1}},"canonical_sha256":"6d0a51a734482516bd9fa258db2d7bede674209142585f4c09deb67f3b2fbdb9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6d0a51a734482516bd9fa258db2d7bede674209142585f4c09deb67f3b2fbdb9","first_computed_at":"2026-05-18T02:32:00.325535Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:00.325535Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EypNCkPQTx6P/OkOZ44A2DCHSYVD4KcIkyqktkzqIWwbKBhe8/SerwHQfWMImjItBM9F9/w3/vR3t6prN1wwBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:00.326033Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.4673","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d0f5515d3801cd10115ebed6ba62b087ba146c3c628955788f547753aeca033","sha256:51564269b4fc47f0a88706e992ad5d9d8c0d8f205401d592bb924ca99ad657e8"],"state_sha256":"e8e28c569094244b318224a883a46536f4bd94e83289d61dee630a1b715fa233"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LRxzkhJ+nYsQ0+MHThsiavEOP0f19ZeSOHFROe/DyG0S3thBS/JTekz4/e3vkGh4VAQMYeB/UrFX1tZH3ofpCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T13:49:29.960289Z","bundle_sha256":"eed4bd95127bb819e663509a36f46064bd7d6950fafebf6529344756adb4545b"}}