{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:72L67L4B5O6PEMPABIFYFDDHNO","short_pith_number":"pith:72L67L4B","canonical_record":{"source":{"id":"2210.11781","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-10-21T07:32:38Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"5f10140cebe5231f4296a43db2a95a0313df70930fe49c0fc1fe12332b8ce31b","abstract_canon_sha256":"a72dd36aaa12b8ee2aeef6c0117430ebe65c7797d966b67e6e3a4f13f69de1bc"},"schema_version":"1.0"},"canonical_sha256":"fe97efaf81ebbcf231e00a0b828c676b865da50db1ae767d3f8ec957ed53d106","source":{"kind":"arxiv","id":"2210.11781","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.11781","created_at":"2026-07-05T05:21:03Z"},{"alias_kind":"arxiv_version","alias_value":"2210.11781v1","created_at":"2026-07-05T05:21:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.11781","created_at":"2026-07-05T05:21:03Z"},{"alias_kind":"pith_short_12","alias_value":"72L67L4B5O6P","created_at":"2026-07-05T05:21:03Z"},{"alias_kind":"pith_short_16","alias_value":"72L67L4B5O6PEMPA","created_at":"2026-07-05T05:21:03Z"},{"alias_kind":"pith_short_8","alias_value":"72L67L4B","created_at":"2026-07-05T05:21:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:72L67L4B5O6PEMPABIFYFDDHNO","target":"record","payload":{"canonical_record":{"source":{"id":"2210.11781","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-10-21T07:32:38Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"5f10140cebe5231f4296a43db2a95a0313df70930fe49c0fc1fe12332b8ce31b","abstract_canon_sha256":"a72dd36aaa12b8ee2aeef6c0117430ebe65c7797d966b67e6e3a4f13f69de1bc"},"schema_version":"1.0"},"canonical_sha256":"fe97efaf81ebbcf231e00a0b828c676b865da50db1ae767d3f8ec957ed53d106","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:21:03.739892Z","signature_b64":"a300yDunbbjxaMQjEPPOYkgkheYhCRKX6jWk3/759jlLVhas/AzvOPH3Fv1r1vIcEViFPLoyDmBIKaB/wWozAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fe97efaf81ebbcf231e00a0b828c676b865da50db1ae767d3f8ec957ed53d106","last_reissued_at":"2026-07-05T05:21:03.739210Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:21:03.739210Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2210.11781","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":"2026-07-05T05:21:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7DS9c+F4v1YgAhQw0PpI9v7hhjKyfnEkzdwKUIdduhBLvcNrHO/AaKt9vv6hm7I8KDWHvhN1QfzdB08b3fBqCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T17:14:10.783958Z"},"content_sha256":"a46d5665a53a2b2977986d61e6b8c05f87ef1b8793a4cbdd5117a32d65a155be","schema_version":"1.0","event_id":"sha256:a46d5665a53a2b2977986d61e6b8c05f87ef1b8793a4cbdd5117a32d65a155be"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:72L67L4B5O6PEMPABIFYFDDHNO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Line-Graph Approach to Spiral Spin Liquids","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.mtrl-sci"],"primary_cat":"cond-mat.str-el","authors_text":"Andrew D. Christianson, Andrew F. May, Chris Pasco, David G. Mandrus, Ganesh Pokharel, Joseph A. M. Paddison, Keith M. Taddei, Matthew B. Stone, Shang Gao, Stuart Calder, Yaohua Liu","submitted_at":"2022-10-21T07:32:38Z","abstract_excerpt":"Competition among exchange interactions is able to induce novel spin correlations on a bipartite lattice without geometrical frustration. A prototype example is the spiral spin liquid, which is a correlated paramagnetic state characterized by sub-dimensional degenerate propagation vectors. Here, using spectral graph theory, we show that spiral spin liquids on a bipartite lattice can be approximated by a further-neighbor model on the corresponding line-graph lattice that is non-bipartite, thus broadening the space of candidate materials that may support the spiral spin liquid phases. As illustr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.11781","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2210.11781/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":"2026-07-05T05:21:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vzH1VOhUuUwYRpSQxk4P9mrrvY8NF84FHWOpJrDo1vNy59kFsc32JDGbUs1Yzke1qB/V7O270iP5tE/ScVxqAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T17:14:10.784451Z"},"content_sha256":"43e9c78eecaa8c2e1d11879c8eed5b92f990d3ed6745152ac89567f4db1337f3","schema_version":"1.0","event_id":"sha256:43e9c78eecaa8c2e1d11879c8eed5b92f990d3ed6745152ac89567f4db1337f3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/72L67L4B5O6PEMPABIFYFDDHNO/bundle.json","state_url":"https://pith.science/pith/72L67L4B5O6PEMPABIFYFDDHNO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/72L67L4B5O6PEMPABIFYFDDHNO/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":"2026-08-03T17:14:10Z","links":{"resolver":"https://pith.science/pith/72L67L4B5O6PEMPABIFYFDDHNO","bundle":"https://pith.science/pith/72L67L4B5O6PEMPABIFYFDDHNO/bundle.json","state":"https://pith.science/pith/72L67L4B5O6PEMPABIFYFDDHNO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/72L67L4B5O6PEMPABIFYFDDHNO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:72L67L4B5O6PEMPABIFYFDDHNO","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":"a72dd36aaa12b8ee2aeef6c0117430ebe65c7797d966b67e6e3a4f13f69de1bc","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-10-21T07:32:38Z","title_canon_sha256":"5f10140cebe5231f4296a43db2a95a0313df70930fe49c0fc1fe12332b8ce31b"},"schema_version":"1.0","source":{"id":"2210.11781","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.11781","created_at":"2026-07-05T05:21:03Z"},{"alias_kind":"arxiv_version","alias_value":"2210.11781v1","created_at":"2026-07-05T05:21:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.11781","created_at":"2026-07-05T05:21:03Z"},{"alias_kind":"pith_short_12","alias_value":"72L67L4B5O6P","created_at":"2026-07-05T05:21:03Z"},{"alias_kind":"pith_short_16","alias_value":"72L67L4B5O6PEMPA","created_at":"2026-07-05T05:21:03Z"},{"alias_kind":"pith_short_8","alias_value":"72L67L4B","created_at":"2026-07-05T05:21:03Z"}],"graph_snapshots":[{"event_id":"sha256:43e9c78eecaa8c2e1d11879c8eed5b92f990d3ed6745152ac89567f4db1337f3","target":"graph","created_at":"2026-07-05T05:21:03Z","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/2210.11781/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Competition among exchange interactions is able to induce novel spin correlations on a bipartite lattice without geometrical frustration. A prototype example is the spiral spin liquid, which is a correlated paramagnetic state characterized by sub-dimensional degenerate propagation vectors. Here, using spectral graph theory, we show that spiral spin liquids on a bipartite lattice can be approximated by a further-neighbor model on the corresponding line-graph lattice that is non-bipartite, thus broadening the space of candidate materials that may support the spiral spin liquid phases. As illustr","authors_text":"Andrew D. Christianson, Andrew F. May, Chris Pasco, David G. Mandrus, Ganesh Pokharel, Joseph A. M. Paddison, Keith M. Taddei, Matthew B. Stone, Shang Gao, Stuart Calder, Yaohua Liu","cross_cats":["cond-mat.mtrl-sci"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-10-21T07:32:38Z","title":"Line-Graph Approach to Spiral Spin Liquids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.11781","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:a46d5665a53a2b2977986d61e6b8c05f87ef1b8793a4cbdd5117a32d65a155be","target":"record","created_at":"2026-07-05T05:21:03Z","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":"a72dd36aaa12b8ee2aeef6c0117430ebe65c7797d966b67e6e3a4f13f69de1bc","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-10-21T07:32:38Z","title_canon_sha256":"5f10140cebe5231f4296a43db2a95a0313df70930fe49c0fc1fe12332b8ce31b"},"schema_version":"1.0","source":{"id":"2210.11781","kind":"arxiv","version":1}},"canonical_sha256":"fe97efaf81ebbcf231e00a0b828c676b865da50db1ae767d3f8ec957ed53d106","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe97efaf81ebbcf231e00a0b828c676b865da50db1ae767d3f8ec957ed53d106","first_computed_at":"2026-07-05T05:21:03.739210Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:21:03.739210Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a300yDunbbjxaMQjEPPOYkgkheYhCRKX6jWk3/759jlLVhas/AzvOPH3Fv1r1vIcEViFPLoyDmBIKaB/wWozAg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:21:03.739892Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.11781","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a46d5665a53a2b2977986d61e6b8c05f87ef1b8793a4cbdd5117a32d65a155be","sha256:43e9c78eecaa8c2e1d11879c8eed5b92f990d3ed6745152ac89567f4db1337f3"],"state_sha256":"f5f78e987ae097036d07c05e36563b3069f2ff043d30b4bf0c1ded1f4f8a3d62"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uQS5fU5UpSyjeg/zvdsAF9lN5ZgBpfE4831DagQGHRo1+jpuSAHy3c8FfedjzVihpMc7SLMKlUejTPIq8MZJDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T17:14:10.787997Z","bundle_sha256":"9601242cb918431b12fc04a7754c1e8303ff7b1ffe8c5201f6440837feee3937"}}