{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:5FHSDBUVD3464J7YLCOHBAI5D4","short_pith_number":"pith:5FHSDBUV","canonical_record":{"source":{"id":"1811.11115","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-11-27T17:17:52Z","cross_cats_sorted":["cond-mat.supr-con"],"title_canon_sha256":"d76d7a707dd4dd1aba567c327ec1730804a4163c89b13c15c5ddefeab53a8d37","abstract_canon_sha256":"c376a2b946e34804f1e40e9280003d95a528dbdcb889185ea0c81a9a10232caa"},"schema_version":"1.0"},"canonical_sha256":"e94f2186951ef9ee27f8589c70811d1f3116ca4893c5510bd07f84b8b95b9001","source":{"kind":"arxiv","id":"1811.11115","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.11115","created_at":"2026-05-17T23:56:27Z"},{"alias_kind":"arxiv_version","alias_value":"1811.11115v2","created_at":"2026-05-17T23:56:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.11115","created_at":"2026-05-17T23:56:27Z"},{"alias_kind":"pith_short_12","alias_value":"5FHSDBUVD346","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"5FHSDBUVD3464J7Y","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"5FHSDBUV","created_at":"2026-05-18T12:32:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:5FHSDBUVD3464J7YLCOHBAI5D4","target":"record","payload":{"canonical_record":{"source":{"id":"1811.11115","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-11-27T17:17:52Z","cross_cats_sorted":["cond-mat.supr-con"],"title_canon_sha256":"d76d7a707dd4dd1aba567c327ec1730804a4163c89b13c15c5ddefeab53a8d37","abstract_canon_sha256":"c376a2b946e34804f1e40e9280003d95a528dbdcb889185ea0c81a9a10232caa"},"schema_version":"1.0"},"canonical_sha256":"e94f2186951ef9ee27f8589c70811d1f3116ca4893c5510bd07f84b8b95b9001","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:27.534716Z","signature_b64":"bdHp5l/TbWTM8CUH8hNZ5qGeTwOgzGLZXsECp/ae36sjnSVB/mNp+4f93qdnOy40KH2F6j8f6byaliZ2rGUqBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e94f2186951ef9ee27f8589c70811d1f3116ca4893c5510bd07f84b8b95b9001","last_reissued_at":"2026-05-17T23:56:27.534083Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:27.534083Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.11115","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":"2026-05-17T23:56:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SFF7VjI8ObjibRty5hYT/mkBJXUlc/F/lq4yv4Zef57WiX713o2LyB5tQ5ICGZ7dOtU5J7RuycRiFtDIe3EGAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T22:50:13.452678Z"},"content_sha256":"78d67ae2ce1d00746921ce778007ad77b25eeb4e3d8f73a1abb5f1c14c8bd43b","schema_version":"1.0","event_id":"sha256:78d67ae2ce1d00746921ce778007ad77b25eeb4e3d8f73a1abb5f1c14c8bd43b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:5FHSDBUVD3464J7YLCOHBAI5D4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Order Fractionalization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.supr-con"],"primary_cat":"cond-mat.str-el","authors_text":"Anna Toth, Piers Coleman, Premala Chandra, Yashar Komijani","submitted_at":"2018-11-27T17:17:52Z","abstract_excerpt":"The confluence of quantum mechanics and complexity, which leads to the emergence of rich, exotic states of matter, motivates the extension of our concepts of quantum ordering. The twin concepts of spontaneously broken symmetry, described in terms of a Landau order parameter, and of off-diagonal long-range order (ODLRO), are fundamental to our understanding of phases of matter. In electronic matter it has long been assumed that Landau order parameters involve an even number of electron fields, with integer spin and even charge, that are bosons. On the other hand, in low-dimensional magnetism, o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.11115","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":"2026-05-17T23:56:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RaDD5q8mrQSY2LQi00g6S9efmVwqk1ux37g/weyBRtweweVXqpywtv/VjkIizGCpNp99qOcFuraecST8encBDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T22:50:13.453290Z"},"content_sha256":"fc162019c3c8de530606e185ea657fe23bfd0a9d223c1b896a62fac44811135d","schema_version":"1.0","event_id":"sha256:fc162019c3c8de530606e185ea657fe23bfd0a9d223c1b896a62fac44811135d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5FHSDBUVD3464J7YLCOHBAI5D4/bundle.json","state_url":"https://pith.science/pith/5FHSDBUVD3464J7YLCOHBAI5D4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5FHSDBUVD3464J7YLCOHBAI5D4/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":"2026-05-26T22:50:13Z","links":{"resolver":"https://pith.science/pith/5FHSDBUVD3464J7YLCOHBAI5D4","bundle":"https://pith.science/pith/5FHSDBUVD3464J7YLCOHBAI5D4/bundle.json","state":"https://pith.science/pith/5FHSDBUVD3464J7YLCOHBAI5D4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5FHSDBUVD3464J7YLCOHBAI5D4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:5FHSDBUVD3464J7YLCOHBAI5D4","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":"c376a2b946e34804f1e40e9280003d95a528dbdcb889185ea0c81a9a10232caa","cross_cats_sorted":["cond-mat.supr-con"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-11-27T17:17:52Z","title_canon_sha256":"d76d7a707dd4dd1aba567c327ec1730804a4163c89b13c15c5ddefeab53a8d37"},"schema_version":"1.0","source":{"id":"1811.11115","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.11115","created_at":"2026-05-17T23:56:27Z"},{"alias_kind":"arxiv_version","alias_value":"1811.11115v2","created_at":"2026-05-17T23:56:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.11115","created_at":"2026-05-17T23:56:27Z"},{"alias_kind":"pith_short_12","alias_value":"5FHSDBUVD346","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"5FHSDBUVD3464J7Y","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"5FHSDBUV","created_at":"2026-05-18T12:32:08Z"}],"graph_snapshots":[{"event_id":"sha256:fc162019c3c8de530606e185ea657fe23bfd0a9d223c1b896a62fac44811135d","target":"graph","created_at":"2026-05-17T23:56:27Z","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 confluence of quantum mechanics and complexity, which leads to the emergence of rich, exotic states of matter, motivates the extension of our concepts of quantum ordering. The twin concepts of spontaneously broken symmetry, described in terms of a Landau order parameter, and of off-diagonal long-range order (ODLRO), are fundamental to our understanding of phases of matter. In electronic matter it has long been assumed that Landau order parameters involve an even number of electron fields, with integer spin and even charge, that are bosons. On the other hand, in low-dimensional magnetism, o","authors_text":"Anna Toth, Piers Coleman, Premala Chandra, Yashar Komijani","cross_cats":["cond-mat.supr-con"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-11-27T17:17:52Z","title":"Order Fractionalization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.11115","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":"sha256:78d67ae2ce1d00746921ce778007ad77b25eeb4e3d8f73a1abb5f1c14c8bd43b","target":"record","created_at":"2026-05-17T23:56:27Z","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":"c376a2b946e34804f1e40e9280003d95a528dbdcb889185ea0c81a9a10232caa","cross_cats_sorted":["cond-mat.supr-con"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-11-27T17:17:52Z","title_canon_sha256":"d76d7a707dd4dd1aba567c327ec1730804a4163c89b13c15c5ddefeab53a8d37"},"schema_version":"1.0","source":{"id":"1811.11115","kind":"arxiv","version":2}},"canonical_sha256":"e94f2186951ef9ee27f8589c70811d1f3116ca4893c5510bd07f84b8b95b9001","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e94f2186951ef9ee27f8589c70811d1f3116ca4893c5510bd07f84b8b95b9001","first_computed_at":"2026-05-17T23:56:27.534083Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:27.534083Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bdHp5l/TbWTM8CUH8hNZ5qGeTwOgzGLZXsECp/ae36sjnSVB/mNp+4f93qdnOy40KH2F6j8f6byaliZ2rGUqBQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:27.534716Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.11115","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:78d67ae2ce1d00746921ce778007ad77b25eeb4e3d8f73a1abb5f1c14c8bd43b","sha256:fc162019c3c8de530606e185ea657fe23bfd0a9d223c1b896a62fac44811135d"],"state_sha256":"43972ce44e6e9d79585b342ef717f9c78f99863714760f311174154fd4bb0b8f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o0nFo28dKTWFbq83gy/+5c1oKj9hbIA/gLJnF0NFBXQT15owuxGcDL89/HwR2WNYfYjLPnjgbAFyGiTYQI/LCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T22:50:13.456370Z","bundle_sha256":"916d1c8bc7ebc3f2ab0e7a8457583e751c89b33ed3f286f205bcea86c4f501eb"}}