{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:JCDN5O4XWAXMR4BNQFXCEVEEY3","short_pith_number":"pith:JCDN5O4X","canonical_record":{"source":{"id":"2210.07227","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2022-10-13T17:53:06Z","cross_cats_sorted":["cond-mat.dis-nn","quant-ph"],"title_canon_sha256":"2a604e23ebdc18852a9889056024a0dbe4ae1c54d5650750a541f8ac35993df6","abstract_canon_sha256":"da6ff3c2d3c0aeeab7e2b46e7e2dc8fc9318434d1057e2af253629f19791c096"},"schema_version":"1.0"},"canonical_sha256":"4886debb97b02ec8f02d816e225484c6ed6fbb8785be7f6d6ced35313cd74486","source":{"kind":"arxiv","id":"2210.07227","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.07227","created_at":"2026-07-05T05:46:25Z"},{"alias_kind":"arxiv_version","alias_value":"2210.07227v2","created_at":"2026-07-05T05:46:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.07227","created_at":"2026-07-05T05:46:25Z"},{"alias_kind":"pith_short_12","alias_value":"JCDN5O4XWAXM","created_at":"2026-07-05T05:46:25Z"},{"alias_kind":"pith_short_16","alias_value":"JCDN5O4XWAXMR4BN","created_at":"2026-07-05T05:46:25Z"},{"alias_kind":"pith_short_8","alias_value":"JCDN5O4X","created_at":"2026-07-05T05:46:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:JCDN5O4XWAXMR4BNQFXCEVEEY3","target":"record","payload":{"canonical_record":{"source":{"id":"2210.07227","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2022-10-13T17:53:06Z","cross_cats_sorted":["cond-mat.dis-nn","quant-ph"],"title_canon_sha256":"2a604e23ebdc18852a9889056024a0dbe4ae1c54d5650750a541f8ac35993df6","abstract_canon_sha256":"da6ff3c2d3c0aeeab7e2b46e7e2dc8fc9318434d1057e2af253629f19791c096"},"schema_version":"1.0"},"canonical_sha256":"4886debb97b02ec8f02d816e225484c6ed6fbb8785be7f6d6ced35313cd74486","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:46:25.775880Z","signature_b64":"9GSJtQo54a4fTK6J53N54QM+LcEuJWt9B2715IBRVb89ggaK396cEhJJXk7vxXSUUa2VTeewHFnEDpYmwt0UDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4886debb97b02ec8f02d816e225484c6ed6fbb8785be7f6d6ced35313cd74486","last_reissued_at":"2026-07-05T05:46:25.775434Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:46:25.775434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2210.07227","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":"2026-07-05T05:46:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HUCJK4XXnIGPIQ7GMraOAJacBCAIZUk+BHfpLyQUNcPZ+Wpjh/sNXaY8GalLiKLUxut2UQTRizwXe3vZpkENBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T01:03:05.613844Z"},"content_sha256":"6bcdd319804bfe4a2c1c7733d8ab0aae4bd4e2b9e1ee6d22430720c00c174e39","schema_version":"1.0","event_id":"sha256:6bcdd319804bfe4a2c1c7733d8ab0aae4bd4e2b9e1ee6d22430720c00c174e39"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:JCDN5O4XWAXMR4BNQFXCEVEEY3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Random-Bond Ising Model and its dual in Hyperbolic Spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Benedikt Placke, Nikolas P. Breuckmann","submitted_at":"2022-10-13T17:53:06Z","abstract_excerpt":"We analyze the thermodynamic properties of the random-bond Ising model (RBIM) on closed hyperbolic surfaces using Monte Carlo and high-temperature series expansion techniques. We also analyze the dual-RBIM, that is the model that in the absence of disorder is related to the RBIM via the Kramers-Wannier duality. Even on self-dual lattices this model is different from the RBIM, unlike in the euclidean case. We explain this anomaly by a careful re-derivation of the Kramers--Wannier duality. For the (dual-)RBIM, we compute the paramagnet-to-ferromagnet phase transition as a function of both temper"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.07227","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2210.07227/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":"2026-07-05T05:46:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+D/haPZ/53oK4Vs9l6B6yOC7ckao19lRBdZVR2M2Zbfa3rLPqhkbnHyq8jSNbHJcrSVchzvhvFNWkoz34KsKAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T01:03:05.614900Z"},"content_sha256":"e27792606a82e961926ffbfaae40d7b2e72179ffe2cfc5c883cc689da62926bc","schema_version":"1.0","event_id":"sha256:e27792606a82e961926ffbfaae40d7b2e72179ffe2cfc5c883cc689da62926bc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JCDN5O4XWAXMR4BNQFXCEVEEY3/bundle.json","state_url":"https://pith.science/pith/JCDN5O4XWAXMR4BNQFXCEVEEY3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JCDN5O4XWAXMR4BNQFXCEVEEY3/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":"2026-08-06T01:03:05Z","links":{"resolver":"https://pith.science/pith/JCDN5O4XWAXMR4BNQFXCEVEEY3","bundle":"https://pith.science/pith/JCDN5O4XWAXMR4BNQFXCEVEEY3/bundle.json","state":"https://pith.science/pith/JCDN5O4XWAXMR4BNQFXCEVEEY3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JCDN5O4XWAXMR4BNQFXCEVEEY3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:JCDN5O4XWAXMR4BNQFXCEVEEY3","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":"da6ff3c2d3c0aeeab7e2b46e7e2dc8fc9318434d1057e2af253629f19791c096","cross_cats_sorted":["cond-mat.dis-nn","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2022-10-13T17:53:06Z","title_canon_sha256":"2a604e23ebdc18852a9889056024a0dbe4ae1c54d5650750a541f8ac35993df6"},"schema_version":"1.0","source":{"id":"2210.07227","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.07227","created_at":"2026-07-05T05:46:25Z"},{"alias_kind":"arxiv_version","alias_value":"2210.07227v2","created_at":"2026-07-05T05:46:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.07227","created_at":"2026-07-05T05:46:25Z"},{"alias_kind":"pith_short_12","alias_value":"JCDN5O4XWAXM","created_at":"2026-07-05T05:46:25Z"},{"alias_kind":"pith_short_16","alias_value":"JCDN5O4XWAXMR4BN","created_at":"2026-07-05T05:46:25Z"},{"alias_kind":"pith_short_8","alias_value":"JCDN5O4X","created_at":"2026-07-05T05:46:25Z"}],"graph_snapshots":[{"event_id":"sha256:e27792606a82e961926ffbfaae40d7b2e72179ffe2cfc5c883cc689da62926bc","target":"graph","created_at":"2026-07-05T05:46:25Z","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/2210.07227/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We analyze the thermodynamic properties of the random-bond Ising model (RBIM) on closed hyperbolic surfaces using Monte Carlo and high-temperature series expansion techniques. We also analyze the dual-RBIM, that is the model that in the absence of disorder is related to the RBIM via the Kramers-Wannier duality. Even on self-dual lattices this model is different from the RBIM, unlike in the euclidean case. We explain this anomaly by a careful re-derivation of the Kramers--Wannier duality. For the (dual-)RBIM, we compute the paramagnet-to-ferromagnet phase transition as a function of both temper","authors_text":"Benedikt Placke, Nikolas P. Breuckmann","cross_cats":["cond-mat.dis-nn","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2022-10-13T17:53:06Z","title":"The Random-Bond Ising Model and its dual in Hyperbolic Spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.07227","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":"sha256:6bcdd319804bfe4a2c1c7733d8ab0aae4bd4e2b9e1ee6d22430720c00c174e39","target":"record","created_at":"2026-07-05T05:46:25Z","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":"da6ff3c2d3c0aeeab7e2b46e7e2dc8fc9318434d1057e2af253629f19791c096","cross_cats_sorted":["cond-mat.dis-nn","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2022-10-13T17:53:06Z","title_canon_sha256":"2a604e23ebdc18852a9889056024a0dbe4ae1c54d5650750a541f8ac35993df6"},"schema_version":"1.0","source":{"id":"2210.07227","kind":"arxiv","version":2}},"canonical_sha256":"4886debb97b02ec8f02d816e225484c6ed6fbb8785be7f6d6ced35313cd74486","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4886debb97b02ec8f02d816e225484c6ed6fbb8785be7f6d6ced35313cd74486","first_computed_at":"2026-07-05T05:46:25.775434Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:46:25.775434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9GSJtQo54a4fTK6J53N54QM+LcEuJWt9B2715IBRVb89ggaK396cEhJJXk7vxXSUUa2VTeewHFnEDpYmwt0UDw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:46:25.775880Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.07227","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6bcdd319804bfe4a2c1c7733d8ab0aae4bd4e2b9e1ee6d22430720c00c174e39","sha256:e27792606a82e961926ffbfaae40d7b2e72179ffe2cfc5c883cc689da62926bc"],"state_sha256":"0b0726a3717d1d2d61e72f45b9ada618d23a40ed3315da75c1ffb2b1cc545301"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ysksnj/SyTsI2w9YQRYYWllOU3cv2RAdkvPO7Yv9PSgM8WgFTDKdfRGRJDvOoJq1VBrA6ZB0g/L+b0eMFHfkDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T01:03:05.623586Z","bundle_sha256":"2b46d84f17be36535618b6bbb560fa4ef31f48720bcd4628208cbb9dbfc241cb"}}