{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:7RUWQCINAKBGJD2L5VUFWKM56X","short_pith_number":"pith:7RUWQCIN","canonical_record":{"source":{"id":"1605.04641","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-05-16T03:32:25Z","cross_cats_sorted":[],"title_canon_sha256":"06c12de98df9db0d7233092d1d9dbb30051c4d70ed48a93b95c16c6df5c97349","abstract_canon_sha256":"5011b2e2ce667363eaf91e59d31ae0fb1cf4dcd2d4843aab84d76e188361365f"},"schema_version":"1.0"},"canonical_sha256":"fc6968090d0282648f4bed685b299df5e3ff2fe16ab62134897d1eac34979d0f","source":{"kind":"arxiv","id":"1605.04641","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.04641","created_at":"2026-05-18T01:01:23Z"},{"alias_kind":"arxiv_version","alias_value":"1605.04641v1","created_at":"2026-05-18T01:01:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.04641","created_at":"2026-05-18T01:01:23Z"},{"alias_kind":"pith_short_12","alias_value":"7RUWQCINAKBG","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7RUWQCINAKBGJD2L","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7RUWQCIN","created_at":"2026-05-18T12:30:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:7RUWQCINAKBGJD2L5VUFWKM56X","target":"record","payload":{"canonical_record":{"source":{"id":"1605.04641","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-05-16T03:32:25Z","cross_cats_sorted":[],"title_canon_sha256":"06c12de98df9db0d7233092d1d9dbb30051c4d70ed48a93b95c16c6df5c97349","abstract_canon_sha256":"5011b2e2ce667363eaf91e59d31ae0fb1cf4dcd2d4843aab84d76e188361365f"},"schema_version":"1.0"},"canonical_sha256":"fc6968090d0282648f4bed685b299df5e3ff2fe16ab62134897d1eac34979d0f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:23.982383Z","signature_b64":"4sP73gEzuTj0Po+U/OCYLIBdCIZXWRo329/BYfYKxVRTV40ojxAwrMO0QkoTDixPGve1FdBgNigkPhWwfD2OCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc6968090d0282648f4bed685b299df5e3ff2fe16ab62134897d1eac34979d0f","last_reissued_at":"2026-05-18T01:01:23.981630Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:23.981630Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.04641","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":"2026-05-18T01:01:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JpBALd9rfBEIICPggDOCeOtgii+MkUODnLumppq+cFqyw+PLPVmPBdrjsaUD7/O5GheT2zKfwhw9r+sl0uiLCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T12:53:25.463656Z"},"content_sha256":"74a567a35a2c1406a87f3e29d0a97d0d665f36d9176104412fd5f93e98c3f13c","schema_version":"1.0","event_id":"sha256:74a567a35a2c1406a87f3e29d0a97d0d665f36d9176104412fd5f93e98c3f13c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:7RUWQCINAKBGJD2L5VUFWKM56X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Effective Hamiltonian based Monte Carlo for the BCS to BEC crossover in the attractive Hubbard model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Kanika Pasrija, Prabuddha B. Chakraborty, Sanjeev Kumar","submitted_at":"2016-05-16T03:32:25Z","abstract_excerpt":"We present an effective Hamiltonian based real-space approach for studying the weak-coupling Bardeen-Cooper-Schrieffer (BCS) to the strong-coupling Bose-Einstein condensate (BEC) crossover in the two-dimensional attractive Hubbard model at finite temperatures. We introduce and justify an effective classical Hamiltonian to describe the thermal fluctuations of the relevant auxiliary fields. Our results for $T_c$ and phase diagrams compare very well with those obtained from more sophisticated and {\\it cpu}-intensive numerical methods. We demonstrate that the method works in the presence of disord"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.04641","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":"2026-05-18T01:01:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VSGEK6O/V+ZX+fQXOC9c/AtoSwm/LT3UdcGfVhVvv6msozCXZdB8zzaZ3LxeOXENotw+u8rM5oQyUhD3Ki/0Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T12:53:25.464000Z"},"content_sha256":"15ec0e4f31861b51d462fc9021ac3545b1ff5e3f6a754a462418f01e7c121533","schema_version":"1.0","event_id":"sha256:15ec0e4f31861b51d462fc9021ac3545b1ff5e3f6a754a462418f01e7c121533"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7RUWQCINAKBGJD2L5VUFWKM56X/bundle.json","state_url":"https://pith.science/pith/7RUWQCINAKBGJD2L5VUFWKM56X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7RUWQCINAKBGJD2L5VUFWKM56X/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":"2026-06-02T12:53:25Z","links":{"resolver":"https://pith.science/pith/7RUWQCINAKBGJD2L5VUFWKM56X","bundle":"https://pith.science/pith/7RUWQCINAKBGJD2L5VUFWKM56X/bundle.json","state":"https://pith.science/pith/7RUWQCINAKBGJD2L5VUFWKM56X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7RUWQCINAKBGJD2L5VUFWKM56X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:7RUWQCINAKBGJD2L5VUFWKM56X","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":"5011b2e2ce667363eaf91e59d31ae0fb1cf4dcd2d4843aab84d76e188361365f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-05-16T03:32:25Z","title_canon_sha256":"06c12de98df9db0d7233092d1d9dbb30051c4d70ed48a93b95c16c6df5c97349"},"schema_version":"1.0","source":{"id":"1605.04641","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.04641","created_at":"2026-05-18T01:01:23Z"},{"alias_kind":"arxiv_version","alias_value":"1605.04641v1","created_at":"2026-05-18T01:01:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.04641","created_at":"2026-05-18T01:01:23Z"},{"alias_kind":"pith_short_12","alias_value":"7RUWQCINAKBG","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7RUWQCINAKBGJD2L","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7RUWQCIN","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:15ec0e4f31861b51d462fc9021ac3545b1ff5e3f6a754a462418f01e7c121533","target":"graph","created_at":"2026-05-18T01:01:23Z","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":"We present an effective Hamiltonian based real-space approach for studying the weak-coupling Bardeen-Cooper-Schrieffer (BCS) to the strong-coupling Bose-Einstein condensate (BEC) crossover in the two-dimensional attractive Hubbard model at finite temperatures. We introduce and justify an effective classical Hamiltonian to describe the thermal fluctuations of the relevant auxiliary fields. Our results for $T_c$ and phase diagrams compare very well with those obtained from more sophisticated and {\\it cpu}-intensive numerical methods. We demonstrate that the method works in the presence of disord","authors_text":"Kanika Pasrija, Prabuddha B. Chakraborty, Sanjeev Kumar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-05-16T03:32:25Z","title":"Effective Hamiltonian based Monte Carlo for the BCS to BEC crossover in the attractive Hubbard model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.04641","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":"sha256:74a567a35a2c1406a87f3e29d0a97d0d665f36d9176104412fd5f93e98c3f13c","target":"record","created_at":"2026-05-18T01:01:23Z","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":"5011b2e2ce667363eaf91e59d31ae0fb1cf4dcd2d4843aab84d76e188361365f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-05-16T03:32:25Z","title_canon_sha256":"06c12de98df9db0d7233092d1d9dbb30051c4d70ed48a93b95c16c6df5c97349"},"schema_version":"1.0","source":{"id":"1605.04641","kind":"arxiv","version":1}},"canonical_sha256":"fc6968090d0282648f4bed685b299df5e3ff2fe16ab62134897d1eac34979d0f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc6968090d0282648f4bed685b299df5e3ff2fe16ab62134897d1eac34979d0f","first_computed_at":"2026-05-18T01:01:23.981630Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:23.981630Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4sP73gEzuTj0Po+U/OCYLIBdCIZXWRo329/BYfYKxVRTV40ojxAwrMO0QkoTDixPGve1FdBgNigkPhWwfD2OCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:23.982383Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.04641","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:74a567a35a2c1406a87f3e29d0a97d0d665f36d9176104412fd5f93e98c3f13c","sha256:15ec0e4f31861b51d462fc9021ac3545b1ff5e3f6a754a462418f01e7c121533"],"state_sha256":"7cb1847641da6c808c71b73ba63cc9bd2d26894c0f318b718889612dfb7880ef"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9zscp3XeKYYAp/aMIvFePxJUWMOtZaNSEiAf1CLDrXAfzpaUAwrV+UMDxg3FXdnduf0XWbi/wbXzIG2JYudyAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T12:53:25.465973Z","bundle_sha256":"d17bb76af7103485a369a99ece34f6ad8f8a8f11aa8305a3391d2f04e8cde057"}}