{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:ATHXXWBDWIQ7JINO34ICVIMYQ6","short_pith_number":"pith:ATHXXWBD","canonical_record":{"source":{"id":"1904.01822","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2019-04-03T07:57:45Z","cross_cats_sorted":[],"title_canon_sha256":"bab5225b0f310cf2fbcf0b27ff0942e1010cdb20c125c2523d262325edec9fd6","abstract_canon_sha256":"99707138f2b1bb01b83ca4fa1dcc97d8706cfaa5da9e6afa84425db3f4332bf6"},"schema_version":"1.0"},"canonical_sha256":"04cf7bd823b221f4a1aedf102aa19887b82e29c46964246912f2528c77cefc8d","source":{"kind":"arxiv","id":"1904.01822","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.01822","created_at":"2026-05-17T23:40:11Z"},{"alias_kind":"arxiv_version","alias_value":"1904.01822v2","created_at":"2026-05-17T23:40:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.01822","created_at":"2026-05-17T23:40:11Z"},{"alias_kind":"pith_short_12","alias_value":"ATHXXWBDWIQ7","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"ATHXXWBDWIQ7JINO","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"ATHXXWBD","created_at":"2026-05-18T12:33:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:ATHXXWBDWIQ7JINO34ICVIMYQ6","target":"record","payload":{"canonical_record":{"source":{"id":"1904.01822","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2019-04-03T07:57:45Z","cross_cats_sorted":[],"title_canon_sha256":"bab5225b0f310cf2fbcf0b27ff0942e1010cdb20c125c2523d262325edec9fd6","abstract_canon_sha256":"99707138f2b1bb01b83ca4fa1dcc97d8706cfaa5da9e6afa84425db3f4332bf6"},"schema_version":"1.0"},"canonical_sha256":"04cf7bd823b221f4a1aedf102aa19887b82e29c46964246912f2528c77cefc8d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:40:11.031849Z","signature_b64":"IFI1mVh+gaUjxe93CfoMj2D6YkXKoD+CjDdhAK2+5BJeQApSr9tllVMY3oUlXNx1oUQ49ULjSClNVedvhgnzAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"04cf7bd823b221f4a1aedf102aa19887b82e29c46964246912f2528c77cefc8d","last_reissued_at":"2026-05-17T23:40:11.031144Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:40:11.031144Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1904.01822","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":"2026-05-17T23:40:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TumWHOhN2I4IU2PdFCA4XSXPS0kXzJAIudDeLHCDbzotFrnaqX7D69cUYUSn30nPXFKv2LgHY/R737O4c9DgCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T14:25:36.222620Z"},"content_sha256":"81083a8d414e4658226cff3cbf09bcd9e64e0ce5874fb2bb87ec9924cae9379e","schema_version":"1.0","event_id":"sha256:81083a8d414e4658226cff3cbf09bcd9e64e0ce5874fb2bb87ec9924cae9379e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:ATHXXWBDWIQ7JINO34ICVIMYQ6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Novel families of ${\\rm SU}(N)$ AKLT states with arbitrary self-conjugate edge states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Didier Poilblanc, Fr\\'ed\\'eric Mila, Ian Affleck, Samuel Gozel","submitted_at":"2019-04-03T07:57:45Z","abstract_excerpt":"Using the Matrix Product State framework, we generalize the Affleck-Kennedy-Lieb-Tasaki (AKLT) construction to one-dimensional spin liquids with global color ${\\rm SU}(N)$ symmetry, finite correlation lengths, and edge states that can belong to any self-conjugate irreducible representation (irrep) of ${\\rm SU}(N)$. In particular, ${\\rm SU}(2)$ spin-$1$ AKLT states with edge states of arbitrary spin $s=1/2,1,3/2,\\cdots$ are constructed, and a general formula for their correlation length is given. Furthermore, we show how to construct local parent Hamiltonians for which these AKLT states are uni"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.01822","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":"2026-05-17T23:40:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zbq5VauBrtBFvPpPtnkaZkppYQTgiFbD1MbWKXmDJCqXW+ZYvuKyRynfU4L3C/1Bpsrj0sgzw3m3bGCkD+h6Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T14:25:36.222971Z"},"content_sha256":"35a07ec1221809694cd6642ac567e15792a6fc2ffe415eae34a97bf972cacfab","schema_version":"1.0","event_id":"sha256:35a07ec1221809694cd6642ac567e15792a6fc2ffe415eae34a97bf972cacfab"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ATHXXWBDWIQ7JINO34ICVIMYQ6/bundle.json","state_url":"https://pith.science/pith/ATHXXWBDWIQ7JINO34ICVIMYQ6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ATHXXWBDWIQ7JINO34ICVIMYQ6/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":"2026-06-05T14:25:36Z","links":{"resolver":"https://pith.science/pith/ATHXXWBDWIQ7JINO34ICVIMYQ6","bundle":"https://pith.science/pith/ATHXXWBDWIQ7JINO34ICVIMYQ6/bundle.json","state":"https://pith.science/pith/ATHXXWBDWIQ7JINO34ICVIMYQ6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ATHXXWBDWIQ7JINO34ICVIMYQ6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:ATHXXWBDWIQ7JINO34ICVIMYQ6","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":"99707138f2b1bb01b83ca4fa1dcc97d8706cfaa5da9e6afa84425db3f4332bf6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2019-04-03T07:57:45Z","title_canon_sha256":"bab5225b0f310cf2fbcf0b27ff0942e1010cdb20c125c2523d262325edec9fd6"},"schema_version":"1.0","source":{"id":"1904.01822","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.01822","created_at":"2026-05-17T23:40:11Z"},{"alias_kind":"arxiv_version","alias_value":"1904.01822v2","created_at":"2026-05-17T23:40:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.01822","created_at":"2026-05-17T23:40:11Z"},{"alias_kind":"pith_short_12","alias_value":"ATHXXWBDWIQ7","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"ATHXXWBDWIQ7JINO","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"ATHXXWBD","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:35a07ec1221809694cd6642ac567e15792a6fc2ffe415eae34a97bf972cacfab","target":"graph","created_at":"2026-05-17T23:40:11Z","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":"Using the Matrix Product State framework, we generalize the Affleck-Kennedy-Lieb-Tasaki (AKLT) construction to one-dimensional spin liquids with global color ${\\rm SU}(N)$ symmetry, finite correlation lengths, and edge states that can belong to any self-conjugate irreducible representation (irrep) of ${\\rm SU}(N)$. In particular, ${\\rm SU}(2)$ spin-$1$ AKLT states with edge states of arbitrary spin $s=1/2,1,3/2,\\cdots$ are constructed, and a general formula for their correlation length is given. Furthermore, we show how to construct local parent Hamiltonians for which these AKLT states are uni","authors_text":"Didier Poilblanc, Fr\\'ed\\'eric Mila, Ian Affleck, Samuel Gozel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2019-04-03T07:57:45Z","title":"Novel families of ${\\rm SU}(N)$ AKLT states with arbitrary self-conjugate edge states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.01822","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":"sha256:81083a8d414e4658226cff3cbf09bcd9e64e0ce5874fb2bb87ec9924cae9379e","target":"record","created_at":"2026-05-17T23:40:11Z","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":"99707138f2b1bb01b83ca4fa1dcc97d8706cfaa5da9e6afa84425db3f4332bf6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2019-04-03T07:57:45Z","title_canon_sha256":"bab5225b0f310cf2fbcf0b27ff0942e1010cdb20c125c2523d262325edec9fd6"},"schema_version":"1.0","source":{"id":"1904.01822","kind":"arxiv","version":2}},"canonical_sha256":"04cf7bd823b221f4a1aedf102aa19887b82e29c46964246912f2528c77cefc8d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"04cf7bd823b221f4a1aedf102aa19887b82e29c46964246912f2528c77cefc8d","first_computed_at":"2026-05-17T23:40:11.031144Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:40:11.031144Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IFI1mVh+gaUjxe93CfoMj2D6YkXKoD+CjDdhAK2+5BJeQApSr9tllVMY3oUlXNx1oUQ49ULjSClNVedvhgnzAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:40:11.031849Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.01822","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:81083a8d414e4658226cff3cbf09bcd9e64e0ce5874fb2bb87ec9924cae9379e","sha256:35a07ec1221809694cd6642ac567e15792a6fc2ffe415eae34a97bf972cacfab"],"state_sha256":"7f7c94e70f680b700caee6fb596d7c7aec5fef2dce38c5bd4b50c33ddce98cbe"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cXZvc9WMTsE+aqSrT+98obfcSw7r+2MHg0HCsi28eJCsceCo5QpG6srM233Xt+7SkxMUk0dcYLQORRQRA3JJDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T14:25:36.224945Z","bundle_sha256":"5e1ef288a5b2880d11129fa6983a67b5b2e914fd79bddda8a9ba1ff3b1282156"}}