{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:YGR2CQWCZJN2YZDAAMMPYQTRLV","short_pith_number":"pith:YGR2CQWC","canonical_record":{"source":{"id":"2207.10712","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-07-21T19:01:09Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"d4e4b36a659088233ad771cabf64f01092465fd9543c485a834f0011586fb9ff","abstract_canon_sha256":"758fe391578fa550c47af438ce11a24f38d7e9b404b614eb78855aa5871d9eaa"},"schema_version":"1.0"},"canonical_sha256":"c1a3a142c2ca5bac64600318fc42715d480ad613a04f21ed405f863130abdfa8","source":{"kind":"arxiv","id":"2207.10712","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.10712","created_at":"2026-07-05T11:28:28Z"},{"alias_kind":"arxiv_version","alias_value":"2207.10712v3","created_at":"2026-07-05T11:28:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.10712","created_at":"2026-07-05T11:28:28Z"},{"alias_kind":"pith_short_12","alias_value":"YGR2CQWCZJN2","created_at":"2026-07-05T11:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"YGR2CQWCZJN2YZDA","created_at":"2026-07-05T11:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"YGR2CQWC","created_at":"2026-07-05T11:28:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:YGR2CQWCZJN2YZDAAMMPYQTRLV","target":"record","payload":{"canonical_record":{"source":{"id":"2207.10712","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-07-21T19:01:09Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"d4e4b36a659088233ad771cabf64f01092465fd9543c485a834f0011586fb9ff","abstract_canon_sha256":"758fe391578fa550c47af438ce11a24f38d7e9b404b614eb78855aa5871d9eaa"},"schema_version":"1.0"},"canonical_sha256":"c1a3a142c2ca5bac64600318fc42715d480ad613a04f21ed405f863130abdfa8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:28:28.143024Z","signature_b64":"SBejuXGoHus/5h7lHQuLm6QgCx4YXpi4nXopoThz6Eq2KHjy3O+G+nlVsVkc4y6Mi+gAhn0fqxFMPsHOtk7IBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c1a3a142c2ca5bac64600318fc42715d480ad613a04f21ed405f863130abdfa8","last_reissued_at":"2026-07-05T11:28:28.142512Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:28:28.142512Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2207.10712","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":"2026-07-05T11:28:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"brV/9kvNIZu56dNr1e+jetCJmOK+2aS3w+wAVgs3QJEPSdiN3mTfUEF+nYltLVEkyGEKX5ORZHw5v0JhpdU4Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T16:03:49.861503Z"},"content_sha256":"e83c800a98c6ad9969bca8a5a12972c96ccdd6be52704dac61c0ec32dd503567","schema_version":"1.0","event_id":"sha256:e83c800a98c6ad9969bca8a5a12972c96ccdd6be52704dac61c0ec32dd503567"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:YGR2CQWCZJN2YZDAAMMPYQTRLV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Topological Holography: Towards a Unification of Landau and Beyond-Landau Physics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.str-el","authors_text":"Apoorv Tiwari, Heidar Moradi, Seyed Faroogh Moosavian","submitted_at":"2022-07-21T19:01:09Z","abstract_excerpt":"We outline a holographic framework that attempts to unify Landau and beyond-Landau paradigms of quantum phases and phase transitions. Leveraging a modern understanding of symmetries as topological defects/operators, the framework uses a topological order to organize the space of quantum systems with a global symmetry in one lower dimension. The global symmetry naturally serves as an input for the topological order. In particular, we holographically construct a String Operator Algebra (SOA) which is the building block of symmetric quantum systems with a given symmetry $G$ in one lower dimension"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.10712","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2207.10712/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T11:28:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LpR7BmhE/0I+NjuGP/O/rCRtUDyfm1k7TgICtqiGiE7tpLSKyp6eSdNQHDIF7LY0wi94AZarbpNa+WLegcPGCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T16:03:49.861973Z"},"content_sha256":"b39a1535e86d58a967600195babc5b70d953729ab240532d7f4cd8abedd4eea0","schema_version":"1.0","event_id":"sha256:b39a1535e86d58a967600195babc5b70d953729ab240532d7f4cd8abedd4eea0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YGR2CQWCZJN2YZDAAMMPYQTRLV/bundle.json","state_url":"https://pith.science/pith/YGR2CQWCZJN2YZDAAMMPYQTRLV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YGR2CQWCZJN2YZDAAMMPYQTRLV/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":"2026-08-06T16:03:49Z","links":{"resolver":"https://pith.science/pith/YGR2CQWCZJN2YZDAAMMPYQTRLV","bundle":"https://pith.science/pith/YGR2CQWCZJN2YZDAAMMPYQTRLV/bundle.json","state":"https://pith.science/pith/YGR2CQWCZJN2YZDAAMMPYQTRLV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YGR2CQWCZJN2YZDAAMMPYQTRLV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:YGR2CQWCZJN2YZDAAMMPYQTRLV","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":"758fe391578fa550c47af438ce11a24f38d7e9b404b614eb78855aa5871d9eaa","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-07-21T19:01:09Z","title_canon_sha256":"d4e4b36a659088233ad771cabf64f01092465fd9543c485a834f0011586fb9ff"},"schema_version":"1.0","source":{"id":"2207.10712","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.10712","created_at":"2026-07-05T11:28:28Z"},{"alias_kind":"arxiv_version","alias_value":"2207.10712v3","created_at":"2026-07-05T11:28:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.10712","created_at":"2026-07-05T11:28:28Z"},{"alias_kind":"pith_short_12","alias_value":"YGR2CQWCZJN2","created_at":"2026-07-05T11:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"YGR2CQWCZJN2YZDA","created_at":"2026-07-05T11:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"YGR2CQWC","created_at":"2026-07-05T11:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:b39a1535e86d58a967600195babc5b70d953729ab240532d7f4cd8abedd4eea0","target":"graph","created_at":"2026-07-05T11:28:28Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2207.10712/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We outline a holographic framework that attempts to unify Landau and beyond-Landau paradigms of quantum phases and phase transitions. Leveraging a modern understanding of symmetries as topological defects/operators, the framework uses a topological order to organize the space of quantum systems with a global symmetry in one lower dimension. The global symmetry naturally serves as an input for the topological order. In particular, we holographically construct a String Operator Algebra (SOA) which is the building block of symmetric quantum systems with a given symmetry $G$ in one lower dimension","authors_text":"Apoorv Tiwari, Heidar Moradi, Seyed Faroogh Moosavian","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-07-21T19:01:09Z","title":"Topological Holography: Towards a Unification of Landau and Beyond-Landau Physics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.10712","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:e83c800a98c6ad9969bca8a5a12972c96ccdd6be52704dac61c0ec32dd503567","target":"record","created_at":"2026-07-05T11:28:28Z","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":"758fe391578fa550c47af438ce11a24f38d7e9b404b614eb78855aa5871d9eaa","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-07-21T19:01:09Z","title_canon_sha256":"d4e4b36a659088233ad771cabf64f01092465fd9543c485a834f0011586fb9ff"},"schema_version":"1.0","source":{"id":"2207.10712","kind":"arxiv","version":3}},"canonical_sha256":"c1a3a142c2ca5bac64600318fc42715d480ad613a04f21ed405f863130abdfa8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c1a3a142c2ca5bac64600318fc42715d480ad613a04f21ed405f863130abdfa8","first_computed_at":"2026-07-05T11:28:28.142512Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:28:28.142512Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SBejuXGoHus/5h7lHQuLm6QgCx4YXpi4nXopoThz6Eq2KHjy3O+G+nlVsVkc4y6Mi+gAhn0fqxFMPsHOtk7IBw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:28:28.143024Z","signed_message":"canonical_sha256_bytes"},"source_id":"2207.10712","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e83c800a98c6ad9969bca8a5a12972c96ccdd6be52704dac61c0ec32dd503567","sha256:b39a1535e86d58a967600195babc5b70d953729ab240532d7f4cd8abedd4eea0"],"state_sha256":"ad853da95fbebec674847ec7a279a687aac01a5de2cbf280bcb902028c8c7b2c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wSxjXaIDInMmnX0Oq7dQ2TpPKpPyUKTq8mBoFRDmS/Lxtu59VrYaR/EJoLEEU3gCJKfliRoF6yBi2/g5x6qUBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T16:03:49.866230Z","bundle_sha256":"2cf48997d6651c5846a93db28e7cfa5688e8516ba9d06042ca693f9a3f5d27ca"}}