{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:BEMEW2TWXKME3KNRC7NXECIT4I","short_pith_number":"pith:BEMEW2TW","canonical_record":{"source":{"id":"1411.6437","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2014-11-24T12:55:09Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"11f9623c3491243d604dee5648df4662bebc364c0ba3521f856e3e8f561759fc","abstract_canon_sha256":"dc2f950cbd8a8e93f57f8b4817b762ec8fed19610b4c132c0cb7a5b7772f8e5c"},"schema_version":"1.0"},"canonical_sha256":"09184b6a76ba984da9b117db720913e205509b2ae8a30f5cde25468f6a24acaf","source":{"kind":"arxiv","id":"1411.6437","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.6437","created_at":"2026-05-18T02:32:55Z"},{"alias_kind":"arxiv_version","alias_value":"1411.6437v1","created_at":"2026-05-18T02:32:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.6437","created_at":"2026-05-18T02:32:55Z"},{"alias_kind":"pith_short_12","alias_value":"BEMEW2TWXKME","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BEMEW2TWXKME3KNR","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BEMEW2TW","created_at":"2026-05-18T12:28:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:BEMEW2TWXKME3KNRC7NXECIT4I","target":"record","payload":{"canonical_record":{"source":{"id":"1411.6437","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2014-11-24T12:55:09Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"11f9623c3491243d604dee5648df4662bebc364c0ba3521f856e3e8f561759fc","abstract_canon_sha256":"dc2f950cbd8a8e93f57f8b4817b762ec8fed19610b4c132c0cb7a5b7772f8e5c"},"schema_version":"1.0"},"canonical_sha256":"09184b6a76ba984da9b117db720913e205509b2ae8a30f5cde25468f6a24acaf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:55.007396Z","signature_b64":"ey+u98bTkyT61YeHA74XJMAESFpTLHh6QLIzRIdLrdCAgEtzqC8mtriPC8wTYVzXusZ9EIygSBzuKlZBAmsNBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"09184b6a76ba984da9b117db720913e205509b2ae8a30f5cde25468f6a24acaf","last_reissued_at":"2026-05-18T02:32:55.006846Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:55.006846Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.6437","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":"2026-05-18T02:32:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"87un7LHPCrWFdghPLvXqPh54k8bVDxApHzEnxv/I20fuwSoGwgaC4FqN1+G0iLq6zc1aIIF3L5Bxa186l5ysAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T06:10:33.055529Z"},"content_sha256":"7d98a71acc6ee6c8892fec5f8d753d50d9b041b8d6919e467b71ce8b29215a31","schema_version":"1.0","event_id":"sha256:7d98a71acc6ee6c8892fec5f8d753d50d9b041b8d6919e467b71ce8b29215a31"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:BEMEW2TWXKME3KNRC7NXECIT4I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Zero-mode anomaly in the RKKY interaction on bipartite lattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"cond-mat.mes-hall","authors_text":"Hsiu-Hau Lin, Tsung-Cheng Lu","submitted_at":"2014-11-24T12:55:09Z","abstract_excerpt":"Carrier-mediated Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction plays an important role in itinerant magnetism. There have been intense interest on its general trend on bipartite lattice with particle-hole symmetry. In particular, recently fabricated graphene is well described by the honeycomb lattice within tight-binding approximation. We use SUSY quantum mechanics to study the RKKY interaction on bipartite lattices. The SUSY structure naturally differentiate the zero modes and those paired states at finite energies. The significant role of zero modes is largely ignored in previous literatu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.6437","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":"2026-05-18T02:32:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qnp87UTCoNe4Uf3pSC0Sp5B0NUvyCiQvtnmOlQXs8+alnqPGMaXfjfzTZ3Ka2m0IwtbNyfDUWmAPmb0qDYuWDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T06:10:33.056225Z"},"content_sha256":"8937d528d0dc607cb253b668fbed5991e7001e84a0259c13ee883619a9599eed","schema_version":"1.0","event_id":"sha256:8937d528d0dc607cb253b668fbed5991e7001e84a0259c13ee883619a9599eed"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BEMEW2TWXKME3KNRC7NXECIT4I/bundle.json","state_url":"https://pith.science/pith/BEMEW2TWXKME3KNRC7NXECIT4I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BEMEW2TWXKME3KNRC7NXECIT4I/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":"2026-05-31T06:10:33Z","links":{"resolver":"https://pith.science/pith/BEMEW2TWXKME3KNRC7NXECIT4I","bundle":"https://pith.science/pith/BEMEW2TWXKME3KNRC7NXECIT4I/bundle.json","state":"https://pith.science/pith/BEMEW2TWXKME3KNRC7NXECIT4I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BEMEW2TWXKME3KNRC7NXECIT4I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:BEMEW2TWXKME3KNRC7NXECIT4I","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":"dc2f950cbd8a8e93f57f8b4817b762ec8fed19610b4c132c0cb7a5b7772f8e5c","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2014-11-24T12:55:09Z","title_canon_sha256":"11f9623c3491243d604dee5648df4662bebc364c0ba3521f856e3e8f561759fc"},"schema_version":"1.0","source":{"id":"1411.6437","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.6437","created_at":"2026-05-18T02:32:55Z"},{"alias_kind":"arxiv_version","alias_value":"1411.6437v1","created_at":"2026-05-18T02:32:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.6437","created_at":"2026-05-18T02:32:55Z"},{"alias_kind":"pith_short_12","alias_value":"BEMEW2TWXKME","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BEMEW2TWXKME3KNR","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BEMEW2TW","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:8937d528d0dc607cb253b668fbed5991e7001e84a0259c13ee883619a9599eed","target":"graph","created_at":"2026-05-18T02:32:55Z","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":"Carrier-mediated Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction plays an important role in itinerant magnetism. There have been intense interest on its general trend on bipartite lattice with particle-hole symmetry. In particular, recently fabricated graphene is well described by the honeycomb lattice within tight-binding approximation. We use SUSY quantum mechanics to study the RKKY interaction on bipartite lattices. The SUSY structure naturally differentiate the zero modes and those paired states at finite energies. The significant role of zero modes is largely ignored in previous literatu","authors_text":"Hsiu-Hau Lin, Tsung-Cheng Lu","cross_cats":["cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2014-11-24T12:55:09Z","title":"Zero-mode anomaly in the RKKY interaction on bipartite lattices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.6437","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":"sha256:7d98a71acc6ee6c8892fec5f8d753d50d9b041b8d6919e467b71ce8b29215a31","target":"record","created_at":"2026-05-18T02:32:55Z","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":"dc2f950cbd8a8e93f57f8b4817b762ec8fed19610b4c132c0cb7a5b7772f8e5c","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2014-11-24T12:55:09Z","title_canon_sha256":"11f9623c3491243d604dee5648df4662bebc364c0ba3521f856e3e8f561759fc"},"schema_version":"1.0","source":{"id":"1411.6437","kind":"arxiv","version":1}},"canonical_sha256":"09184b6a76ba984da9b117db720913e205509b2ae8a30f5cde25468f6a24acaf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"09184b6a76ba984da9b117db720913e205509b2ae8a30f5cde25468f6a24acaf","first_computed_at":"2026-05-18T02:32:55.006846Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:55.006846Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ey+u98bTkyT61YeHA74XJMAESFpTLHh6QLIzRIdLrdCAgEtzqC8mtriPC8wTYVzXusZ9EIygSBzuKlZBAmsNBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:55.007396Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.6437","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7d98a71acc6ee6c8892fec5f8d753d50d9b041b8d6919e467b71ce8b29215a31","sha256:8937d528d0dc607cb253b668fbed5991e7001e84a0259c13ee883619a9599eed"],"state_sha256":"664913356d2a32565240340177c78ac910a92da4bbb49b6de1ff5894a1c443ce"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cpKXg0LhVJJmLJfyjiAyxFjLQODpao/Lzx7MRIGrvlXglM/AUaBaQKQU0i5alOpdzEaRri1HbVLn16jbZJRKCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T06:10:33.059562Z","bundle_sha256":"1215c1083548889e729f8270f035e49e1341e1b8821fdff071173a6f206ea480"}}