{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:HPYUAZIHGWHQ46RG2K5Y7NVXYV","short_pith_number":"pith:HPYUAZIH","canonical_record":{"source":{"id":"1207.1072","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-07-04T18:25:34Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"16c815f0e19969c3530159ece7356b41a62f189ea262a3b567672be2436c48eb","abstract_canon_sha256":"ed99dbcd2d64c0ddb6e858d7ec2e6d8248e065c776ddef38ca4c8ed15a4705a1"},"schema_version":"1.0"},"canonical_sha256":"3bf1406507358f0e7a26d2bb8fb6b7c54f2bdee9d229ada2dac661265805aebc","source":{"kind":"arxiv","id":"1207.1072","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.1072","created_at":"2026-05-18T03:39:16Z"},{"alias_kind":"arxiv_version","alias_value":"1207.1072v2","created_at":"2026-05-18T03:39:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.1072","created_at":"2026-05-18T03:39:16Z"},{"alias_kind":"pith_short_12","alias_value":"HPYUAZIHGWHQ","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"HPYUAZIHGWHQ46RG","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"HPYUAZIH","created_at":"2026-05-18T12:27:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:HPYUAZIHGWHQ46RG2K5Y7NVXYV","target":"record","payload":{"canonical_record":{"source":{"id":"1207.1072","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-07-04T18:25:34Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"16c815f0e19969c3530159ece7356b41a62f189ea262a3b567672be2436c48eb","abstract_canon_sha256":"ed99dbcd2d64c0ddb6e858d7ec2e6d8248e065c776ddef38ca4c8ed15a4705a1"},"schema_version":"1.0"},"canonical_sha256":"3bf1406507358f0e7a26d2bb8fb6b7c54f2bdee9d229ada2dac661265805aebc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:39:16.338981Z","signature_b64":"xNCon2NI10GhWqoavSN+llBIo1ci7b4VDZDg+Flcw/T28riX1FqBrFYHfbez8uzp3mRhECPwX/u4LOG1uPI6AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3bf1406507358f0e7a26d2bb8fb6b7c54f2bdee9d229ada2dac661265805aebc","last_reissued_at":"2026-05-18T03:39:16.338446Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:39:16.338446Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1207.1072","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":"2026-05-18T03:39:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O+vaXONsxGnytTSbDj9pdKqP/Nrv0uGupWYg+sRsIVvFNJHaWiUCOC+2e3cUKm35CvXz6kEpp3/AlDRHwKUSDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T09:43:33.182363Z"},"content_sha256":"2b06190a03fee18dba8250768bd1106c59fada497ff76e8c2b470b4f249b9f6d","schema_version":"1.0","event_id":"sha256:2b06190a03fee18dba8250768bd1106c59fada497ff76e8c2b470b4f249b9f6d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:HPYUAZIHGWHQ46RG2K5Y7NVXYV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Effective Spin Couplings in the Mott Insulator of the Honeycomb Lattice Hubbard Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"A.F. Albuquerque, A.M. L\\\"auchli, H-Y.Yang, K.P. Schmidt, S. Capponi","submitted_at":"2012-07-04T18:25:34Z","abstract_excerpt":"Motivated by the recent discovery of a spin liquid phase for the Hubbard model on the honeycomb lattice at half-filling, we apply both perturbative and non-perturbative techniques to derive effective spin Hamiltonians describing the low-energy physics of the Mott-insulating phase of the system. Exact diagonalizations of the so-derived models on small clusters are performed, in order to assess the quality of the effective low-energy theory in the spin-liquid regime. We show that six-spin interactions on the elementary loop of the honeycomb lattice are the dominant sub-leading effective coupling"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.1072","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":"2026-05-18T03:39:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cjLAA2brNqAWy6aX2UMDnIf6m1wAy21WhIyDfqCaPBj3ISkdvBb7PCref5xXraQo10avScUwj/kFCeeUeGBJAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T09:43:33.182727Z"},"content_sha256":"2c697950fbec69f96506a397a250aba94c04000ce87e118bd5443ad85485f047","schema_version":"1.0","event_id":"sha256:2c697950fbec69f96506a397a250aba94c04000ce87e118bd5443ad85485f047"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HPYUAZIHGWHQ46RG2K5Y7NVXYV/bundle.json","state_url":"https://pith.science/pith/HPYUAZIHGWHQ46RG2K5Y7NVXYV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HPYUAZIHGWHQ46RG2K5Y7NVXYV/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":"2026-06-05T09:43:33Z","links":{"resolver":"https://pith.science/pith/HPYUAZIHGWHQ46RG2K5Y7NVXYV","bundle":"https://pith.science/pith/HPYUAZIHGWHQ46RG2K5Y7NVXYV/bundle.json","state":"https://pith.science/pith/HPYUAZIHGWHQ46RG2K5Y7NVXYV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HPYUAZIHGWHQ46RG2K5Y7NVXYV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:HPYUAZIHGWHQ46RG2K5Y7NVXYV","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":"ed99dbcd2d64c0ddb6e858d7ec2e6d8248e065c776ddef38ca4c8ed15a4705a1","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-07-04T18:25:34Z","title_canon_sha256":"16c815f0e19969c3530159ece7356b41a62f189ea262a3b567672be2436c48eb"},"schema_version":"1.0","source":{"id":"1207.1072","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.1072","created_at":"2026-05-18T03:39:16Z"},{"alias_kind":"arxiv_version","alias_value":"1207.1072v2","created_at":"2026-05-18T03:39:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.1072","created_at":"2026-05-18T03:39:16Z"},{"alias_kind":"pith_short_12","alias_value":"HPYUAZIHGWHQ","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"HPYUAZIHGWHQ46RG","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"HPYUAZIH","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:2c697950fbec69f96506a397a250aba94c04000ce87e118bd5443ad85485f047","target":"graph","created_at":"2026-05-18T03:39:16Z","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":"Motivated by the recent discovery of a spin liquid phase for the Hubbard model on the honeycomb lattice at half-filling, we apply both perturbative and non-perturbative techniques to derive effective spin Hamiltonians describing the low-energy physics of the Mott-insulating phase of the system. Exact diagonalizations of the so-derived models on small clusters are performed, in order to assess the quality of the effective low-energy theory in the spin-liquid regime. We show that six-spin interactions on the elementary loop of the honeycomb lattice are the dominant sub-leading effective coupling","authors_text":"A.F. Albuquerque, A.M. L\\\"auchli, H-Y.Yang, K.P. Schmidt, S. Capponi","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-07-04T18:25:34Z","title":"Effective Spin Couplings in the Mott Insulator of the Honeycomb Lattice Hubbard Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.1072","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":"sha256:2b06190a03fee18dba8250768bd1106c59fada497ff76e8c2b470b4f249b9f6d","target":"record","created_at":"2026-05-18T03:39:16Z","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":"ed99dbcd2d64c0ddb6e858d7ec2e6d8248e065c776ddef38ca4c8ed15a4705a1","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-07-04T18:25:34Z","title_canon_sha256":"16c815f0e19969c3530159ece7356b41a62f189ea262a3b567672be2436c48eb"},"schema_version":"1.0","source":{"id":"1207.1072","kind":"arxiv","version":2}},"canonical_sha256":"3bf1406507358f0e7a26d2bb8fb6b7c54f2bdee9d229ada2dac661265805aebc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3bf1406507358f0e7a26d2bb8fb6b7c54f2bdee9d229ada2dac661265805aebc","first_computed_at":"2026-05-18T03:39:16.338446Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:39:16.338446Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xNCon2NI10GhWqoavSN+llBIo1ci7b4VDZDg+Flcw/T28riX1FqBrFYHfbez8uzp3mRhECPwX/u4LOG1uPI6AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:39:16.338981Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.1072","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2b06190a03fee18dba8250768bd1106c59fada497ff76e8c2b470b4f249b9f6d","sha256:2c697950fbec69f96506a397a250aba94c04000ce87e118bd5443ad85485f047"],"state_sha256":"90f33efa9d0b3bac9b99295e2e65dd003d29ca80c27a447d19d71a92273258ab"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gQqAIxY/LrE+zpS9OZ7/HNlaVrnAE1WuuxbLClE6AYMCwwd0i7Xa0x27rQfpsoRIjxGPSC9BdC37KU48IHX2DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T09:43:33.184656Z","bundle_sha256":"3d2f3cd37a7eac2a3d4b0d65bd1d77f632af501d435e72af3f62525e03f9ce50"}}