{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:GBODL7N54WW3OTZUB4PT26MERZ","short_pith_number":"pith:GBODL7N5","canonical_record":{"source":{"id":"1612.02831","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-12-08T21:00:11Z","cross_cats_sorted":[],"title_canon_sha256":"f3e0a8a2f6f097b55fa27767bca25543d583acdef12d99b636e5532b713fb5ef","abstract_canon_sha256":"098630fb8688f49fb077f9ecb16b4640d6ff2d22cb009de572d8f4055f31d571"},"schema_version":"1.0"},"canonical_sha256":"305c35fdbde5adb74f340f1f3d79848e51158808fbe0d624d357aefe85cf3e2d","source":{"kind":"arxiv","id":"1612.02831","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.02831","created_at":"2026-05-18T00:44:24Z"},{"alias_kind":"arxiv_version","alias_value":"1612.02831v1","created_at":"2026-05-18T00:44:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.02831","created_at":"2026-05-18T00:44:24Z"},{"alias_kind":"pith_short_12","alias_value":"GBODL7N54WW3","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"GBODL7N54WW3OTZU","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"GBODL7N5","created_at":"2026-05-18T12:30:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:GBODL7N54WW3OTZUB4PT26MERZ","target":"record","payload":{"canonical_record":{"source":{"id":"1612.02831","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-12-08T21:00:11Z","cross_cats_sorted":[],"title_canon_sha256":"f3e0a8a2f6f097b55fa27767bca25543d583acdef12d99b636e5532b713fb5ef","abstract_canon_sha256":"098630fb8688f49fb077f9ecb16b4640d6ff2d22cb009de572d8f4055f31d571"},"schema_version":"1.0"},"canonical_sha256":"305c35fdbde5adb74f340f1f3d79848e51158808fbe0d624d357aefe85cf3e2d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:24.008325Z","signature_b64":"1TaZ2RCC6AoOb89MTm0bQ11tbKOauLywdKsaalMkeSN3pbsNQ9NKK4vAjfi1UMUcBnlzBUF2a4Y3pF95vQMPAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"305c35fdbde5adb74f340f1f3d79848e51158808fbe0d624d357aefe85cf3e2d","last_reissued_at":"2026-05-18T00:44:24.007860Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:24.007860Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.02831","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":"2026-05-18T00:44:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bcAhqoJRD8tStU8h6UuI3kFeCttbX4pNvyzMvXpsr9UgeyHFisNup5YXmA9Y1tRorCMEn4zxLVh5m2Q/09XVBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T08:21:34.289829Z"},"content_sha256":"1a3559e58807121d928c802a0fe072691a5c84c65cbfcae8753394cf5f59774a","schema_version":"1.0","event_id":"sha256:1a3559e58807121d928c802a0fe072691a5c84c65cbfcae8753394cf5f59774a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:GBODL7N54WW3OTZUB4PT26MERZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Edge--Entanglement correspondence for gapped topological phases with symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Erez Berg, Kusum Dhochak, Maciej Koch-Janusz","submitted_at":"2016-12-08T21:00:11Z","abstract_excerpt":"The correspondence between the edge theory and the entanglement spectrum is firmly established for the chiral topological phases. We study gapped, topologically ordered, non-chiral states with a conserved $U(1)$ charge and show that the entanglement Hamiltonian contains not only the information about topologically distinct edges such phases may admit, but also which of them will be realized in the presence of symmetry breaking/conserving perturbations. We introduce an exactly solvable, charge conserving lattice model of a $\\mathbb{Z}_2$ spin liquid and derive its edge theory and the entangleme"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.02831","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":"2026-05-18T00:44:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D0qkpNbIcrgZn1Air0Qvio+VBfetv5QreUxo7xinoX/v065BU6YR40TyNHw5+Po2/ZALHJ2q6M3HZ6P0bFBdBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T08:21:34.290561Z"},"content_sha256":"8ada00112448152c18a86f0f1b36bd49d251b9b7931ccc6b39a19f73ddd153f8","schema_version":"1.0","event_id":"sha256:8ada00112448152c18a86f0f1b36bd49d251b9b7931ccc6b39a19f73ddd153f8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GBODL7N54WW3OTZUB4PT26MERZ/bundle.json","state_url":"https://pith.science/pith/GBODL7N54WW3OTZUB4PT26MERZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GBODL7N54WW3OTZUB4PT26MERZ/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":"2026-06-06T08:21:34Z","links":{"resolver":"https://pith.science/pith/GBODL7N54WW3OTZUB4PT26MERZ","bundle":"https://pith.science/pith/GBODL7N54WW3OTZUB4PT26MERZ/bundle.json","state":"https://pith.science/pith/GBODL7N54WW3OTZUB4PT26MERZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GBODL7N54WW3OTZUB4PT26MERZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:GBODL7N54WW3OTZUB4PT26MERZ","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":"098630fb8688f49fb077f9ecb16b4640d6ff2d22cb009de572d8f4055f31d571","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-12-08T21:00:11Z","title_canon_sha256":"f3e0a8a2f6f097b55fa27767bca25543d583acdef12d99b636e5532b713fb5ef"},"schema_version":"1.0","source":{"id":"1612.02831","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.02831","created_at":"2026-05-18T00:44:24Z"},{"alias_kind":"arxiv_version","alias_value":"1612.02831v1","created_at":"2026-05-18T00:44:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.02831","created_at":"2026-05-18T00:44:24Z"},{"alias_kind":"pith_short_12","alias_value":"GBODL7N54WW3","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"GBODL7N54WW3OTZU","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"GBODL7N5","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:8ada00112448152c18a86f0f1b36bd49d251b9b7931ccc6b39a19f73ddd153f8","target":"graph","created_at":"2026-05-18T00:44:24Z","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":"The correspondence between the edge theory and the entanglement spectrum is firmly established for the chiral topological phases. We study gapped, topologically ordered, non-chiral states with a conserved $U(1)$ charge and show that the entanglement Hamiltonian contains not only the information about topologically distinct edges such phases may admit, but also which of them will be realized in the presence of symmetry breaking/conserving perturbations. We introduce an exactly solvable, charge conserving lattice model of a $\\mathbb{Z}_2$ spin liquid and derive its edge theory and the entangleme","authors_text":"Erez Berg, Kusum Dhochak, Maciej Koch-Janusz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-12-08T21:00:11Z","title":"Edge--Entanglement correspondence for gapped topological phases with symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.02831","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":"sha256:1a3559e58807121d928c802a0fe072691a5c84c65cbfcae8753394cf5f59774a","target":"record","created_at":"2026-05-18T00:44:24Z","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":"098630fb8688f49fb077f9ecb16b4640d6ff2d22cb009de572d8f4055f31d571","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-12-08T21:00:11Z","title_canon_sha256":"f3e0a8a2f6f097b55fa27767bca25543d583acdef12d99b636e5532b713fb5ef"},"schema_version":"1.0","source":{"id":"1612.02831","kind":"arxiv","version":1}},"canonical_sha256":"305c35fdbde5adb74f340f1f3d79848e51158808fbe0d624d357aefe85cf3e2d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"305c35fdbde5adb74f340f1f3d79848e51158808fbe0d624d357aefe85cf3e2d","first_computed_at":"2026-05-18T00:44:24.007860Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:24.007860Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1TaZ2RCC6AoOb89MTm0bQ11tbKOauLywdKsaalMkeSN3pbsNQ9NKK4vAjfi1UMUcBnlzBUF2a4Y3pF95vQMPAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:24.008325Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.02831","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1a3559e58807121d928c802a0fe072691a5c84c65cbfcae8753394cf5f59774a","sha256:8ada00112448152c18a86f0f1b36bd49d251b9b7931ccc6b39a19f73ddd153f8"],"state_sha256":"d0856aaa038f49a3e7793804e285776179d51b06ab78ea159147d6d63d62bd79"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YMBMdTtIYanr5hNSPRI8T2O9VFAHTQEJp0iaUTSvEfHlcrZeiQB9ixgJesEGJYOgn5Miwsr4fT5UZltjti1JBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T08:21:34.294569Z","bundle_sha256":"861f280c29846f119b47a2be27f50c94fe723c116f0d0a41614a355c5f981313"}}