{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:XGJNNAIMVDBQLBFVRSY6TLCMZI","short_pith_number":"pith:XGJNNAIM","canonical_record":{"source":{"id":"1409.5520","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-09-19T05:18:43Z","cross_cats_sorted":[],"title_canon_sha256":"5be5d12ccfa133856b2cc3d3fad5dddc0bb10e60703a6ab9e5cc30d4bdd3da0f","abstract_canon_sha256":"086e2b110fddb19d3564d3e018f3848147b004d2dd44c8d0a7e98c1534fad57e"},"schema_version":"1.0"},"canonical_sha256":"b992d6810ca8c30584b58cb1e9ac4cca15e17c87b11e2f1aac843d8b2c0d1959","source":{"kind":"arxiv","id":"1409.5520","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.5520","created_at":"2026-05-18T02:16:51Z"},{"alias_kind":"arxiv_version","alias_value":"1409.5520v1","created_at":"2026-05-18T02:16:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.5520","created_at":"2026-05-18T02:16:51Z"},{"alias_kind":"pith_short_12","alias_value":"XGJNNAIMVDBQ","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XGJNNAIMVDBQLBFV","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XGJNNAIM","created_at":"2026-05-18T12:28:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:XGJNNAIMVDBQLBFVRSY6TLCMZI","target":"record","payload":{"canonical_record":{"source":{"id":"1409.5520","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-09-19T05:18:43Z","cross_cats_sorted":[],"title_canon_sha256":"5be5d12ccfa133856b2cc3d3fad5dddc0bb10e60703a6ab9e5cc30d4bdd3da0f","abstract_canon_sha256":"086e2b110fddb19d3564d3e018f3848147b004d2dd44c8d0a7e98c1534fad57e"},"schema_version":"1.0"},"canonical_sha256":"b992d6810ca8c30584b58cb1e9ac4cca15e17c87b11e2f1aac843d8b2c0d1959","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:16:51.135675Z","signature_b64":"JUUY6cp/8h8WE2B2tzpifVZg9icLSFTxRe7/OLp4CCadTgX/iW/ACTtNCRscs5bLH705Z54edi4kSOL0djH0CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b992d6810ca8c30584b58cb1e9ac4cca15e17c87b11e2f1aac843d8b2c0d1959","last_reissued_at":"2026-05-18T02:16:51.135097Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:16:51.135097Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.5520","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":"2026-05-18T02:16:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kea9s6os+/iul/4HOeX8962/65uWQCE9NnayNvPkfqgEdH+X2dCWFBXWgAWV9ipVC/4XE8+AhSRLsWzx/BxdDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T14:33:04.856793Z"},"content_sha256":"948cf42679bb1a2777285140671de69cc326bb09d063d6cce44bcdf4d46de572","schema_version":"1.0","event_id":"sha256:948cf42679bb1a2777285140671de69cc326bb09d063d6cce44bcdf4d46de572"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:XGJNNAIMVDBQLBFVRSY6TLCMZI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Shared information in classical mean-field models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Or Cohen, Tridib Sadhu, Vladimir Rittenberg","submitted_at":"2014-09-19T05:18:43Z","abstract_excerpt":"Universal scaling of entanglement estimators of critical quantum systems has drawn a lot of attention in the past. Recent studies indicate that similar universal properties can be found for bipartite information estimators of classical systems near phase transitions, opening a new direction in the study of critical phenomena. We explore this subject by studying the information estimators of classical spin chains with general mean-field interactions. In our explicit analysis of two different bipartite information estimators in the canonical ensemble we find that, away from criticality both the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.5520","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":"2026-05-18T02:16:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mGql5AbP0HJLZ0eUDaMuuiifqE4r37lD5hirdql5e0/ap44YvHx1J3lJoxciHcGHpKvCNF6CdSPIL9V7SrcFCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T14:33:04.857171Z"},"content_sha256":"b96c75fee6a4820558a6573670432a59849edbc4fd29277f860b08597d812df1","schema_version":"1.0","event_id":"sha256:b96c75fee6a4820558a6573670432a59849edbc4fd29277f860b08597d812df1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XGJNNAIMVDBQLBFVRSY6TLCMZI/bundle.json","state_url":"https://pith.science/pith/XGJNNAIMVDBQLBFVRSY6TLCMZI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XGJNNAIMVDBQLBFVRSY6TLCMZI/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":"2026-05-28T14:33:04Z","links":{"resolver":"https://pith.science/pith/XGJNNAIMVDBQLBFVRSY6TLCMZI","bundle":"https://pith.science/pith/XGJNNAIMVDBQLBFVRSY6TLCMZI/bundle.json","state":"https://pith.science/pith/XGJNNAIMVDBQLBFVRSY6TLCMZI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XGJNNAIMVDBQLBFVRSY6TLCMZI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:XGJNNAIMVDBQLBFVRSY6TLCMZI","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":"086e2b110fddb19d3564d3e018f3848147b004d2dd44c8d0a7e98c1534fad57e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-09-19T05:18:43Z","title_canon_sha256":"5be5d12ccfa133856b2cc3d3fad5dddc0bb10e60703a6ab9e5cc30d4bdd3da0f"},"schema_version":"1.0","source":{"id":"1409.5520","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.5520","created_at":"2026-05-18T02:16:51Z"},{"alias_kind":"arxiv_version","alias_value":"1409.5520v1","created_at":"2026-05-18T02:16:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.5520","created_at":"2026-05-18T02:16:51Z"},{"alias_kind":"pith_short_12","alias_value":"XGJNNAIMVDBQ","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XGJNNAIMVDBQLBFV","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XGJNNAIM","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:b96c75fee6a4820558a6573670432a59849edbc4fd29277f860b08597d812df1","target":"graph","created_at":"2026-05-18T02:16:51Z","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":"Universal scaling of entanglement estimators of critical quantum systems has drawn a lot of attention in the past. Recent studies indicate that similar universal properties can be found for bipartite information estimators of classical systems near phase transitions, opening a new direction in the study of critical phenomena. We explore this subject by studying the information estimators of classical spin chains with general mean-field interactions. In our explicit analysis of two different bipartite information estimators in the canonical ensemble we find that, away from criticality both the ","authors_text":"Or Cohen, Tridib Sadhu, Vladimir Rittenberg","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-09-19T05:18:43Z","title":"Shared information in classical mean-field models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.5520","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":"sha256:948cf42679bb1a2777285140671de69cc326bb09d063d6cce44bcdf4d46de572","target":"record","created_at":"2026-05-18T02:16:51Z","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":"086e2b110fddb19d3564d3e018f3848147b004d2dd44c8d0a7e98c1534fad57e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-09-19T05:18:43Z","title_canon_sha256":"5be5d12ccfa133856b2cc3d3fad5dddc0bb10e60703a6ab9e5cc30d4bdd3da0f"},"schema_version":"1.0","source":{"id":"1409.5520","kind":"arxiv","version":1}},"canonical_sha256":"b992d6810ca8c30584b58cb1e9ac4cca15e17c87b11e2f1aac843d8b2c0d1959","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b992d6810ca8c30584b58cb1e9ac4cca15e17c87b11e2f1aac843d8b2c0d1959","first_computed_at":"2026-05-18T02:16:51.135097Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:16:51.135097Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JUUY6cp/8h8WE2B2tzpifVZg9icLSFTxRe7/OLp4CCadTgX/iW/ACTtNCRscs5bLH705Z54edi4kSOL0djH0CA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:16:51.135675Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.5520","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:948cf42679bb1a2777285140671de69cc326bb09d063d6cce44bcdf4d46de572","sha256:b96c75fee6a4820558a6573670432a59849edbc4fd29277f860b08597d812df1"],"state_sha256":"d57cbe0804869499858ce2bee4221f712fbae4c41701fc44068e713e2e06500a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sgjavdF3CUKgxSXT7xKBusZxeWRvMhnVNDP0N5/0pu2mS1kqGpK6oGEkzkcln1G6xfhxkK/Our5reL9W1VkDBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T14:33:04.859262Z","bundle_sha256":"795d065a9f9908bc4c2ef97cde914e0e9333e8b5fec394919b209e4e831a2685"}}