{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:ZFL4MIX4STXRFKVF6RQ3H5LMEY","short_pith_number":"pith:ZFL4MIX4","canonical_record":{"source":{"id":"1810.00633","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-10-01T11:44:39Z","cross_cats_sorted":[],"title_canon_sha256":"a9cffdfb4b1f92d70619d474cfaf60071c31655269f64017b68517a878f49968","abstract_canon_sha256":"43520a5b31cacc13c89743a78f8e48533864c27094a61a4fb0e74fbf18e22333"},"schema_version":"1.0"},"canonical_sha256":"c957c622fc94ef12aaa5f461b3f56c2600fc65a00a103113d2dfb31fa6ffd99b","source":{"kind":"arxiv","id":"1810.00633","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.00633","created_at":"2026-07-05T00:24:35Z"},{"alias_kind":"arxiv_version","alias_value":"1810.00633v2","created_at":"2026-07-05T00:24:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.00633","created_at":"2026-07-05T00:24:35Z"},{"alias_kind":"pith_short_12","alias_value":"ZFL4MIX4STXR","created_at":"2026-07-05T00:24:35Z"},{"alias_kind":"pith_short_16","alias_value":"ZFL4MIX4STXRFKVF","created_at":"2026-07-05T00:24:35Z"},{"alias_kind":"pith_short_8","alias_value":"ZFL4MIX4","created_at":"2026-07-05T00:24:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:ZFL4MIX4STXRFKVF6RQ3H5LMEY","target":"record","payload":{"canonical_record":{"source":{"id":"1810.00633","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-10-01T11:44:39Z","cross_cats_sorted":[],"title_canon_sha256":"a9cffdfb4b1f92d70619d474cfaf60071c31655269f64017b68517a878f49968","abstract_canon_sha256":"43520a5b31cacc13c89743a78f8e48533864c27094a61a4fb0e74fbf18e22333"},"schema_version":"1.0"},"canonical_sha256":"c957c622fc94ef12aaa5f461b3f56c2600fc65a00a103113d2dfb31fa6ffd99b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:24:35.848471Z","signature_b64":"EXwSCnjwtCRlk/9PAQszWRQUnQgy3ul8YHgwVegBI0HNSZ2nzJ+npQZUw4t0DwzYtClglXlpR+yUXhg9CQudAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c957c622fc94ef12aaa5f461b3f56c2600fc65a00a103113d2dfb31fa6ffd99b","last_reissued_at":"2026-07-05T00:24:35.848000Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:24:35.848000Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1810.00633","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":"2026-07-05T00:24:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"19rJGfTzR35MZOO8yDFQARshHaG2fdBzCVBTQaEoydOmD8fKHDcAmwKs3oY5fAiubxqlpyYSHmlc0yAuRJvgCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T07:25:16.693197Z"},"content_sha256":"89ede032e56abc511d78ef77f0c9d0c7daf863c38faabc281d8c04ce133ed236","schema_version":"1.0","event_id":"sha256:89ede032e56abc511d78ef77f0c9d0c7daf863c38faabc281d8c04ce133ed236"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:ZFL4MIX4STXRFKVF6RQ3H5LMEY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Redefinition of site percolation in light of entropy and the second law of thermodynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"M. K. Hassan, M. S. Rahman","submitted_at":"2018-10-01T11:44:39Z","abstract_excerpt":"In this article, we revisit random site and bond percolation in square lattice focusing primarily on the behavior of entropy and order parameter. In the case of traditional site percolation, we find that both the quantities are zero at $p=0$ revealing that the system is in the perfectly ordered and in the disordered state at the same time. Moreover, we find that entropy with $1-p$, which is the equivalent counterpart of temperature, first increases and then decreases again but we know that entropy with temperature cannot decrease. However, bond percolation does not suffer from either of these "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.00633","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/1810.00633/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":"2026-07-05T00:24:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TCsdAQWXUjzjX+Td7TlC6JL+3F5aArhY1r6+1gKrC5f4ZG3gWctnelgpRkBl3L27uAz+kZTsU9G1QDaY5vMcDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T07:25:16.693598Z"},"content_sha256":"6b085552acda234db1e75145852d4c1384e7c3390f3b99866f85c659c0352e19","schema_version":"1.0","event_id":"sha256:6b085552acda234db1e75145852d4c1384e7c3390f3b99866f85c659c0352e19"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZFL4MIX4STXRFKVF6RQ3H5LMEY/bundle.json","state_url":"https://pith.science/pith/ZFL4MIX4STXRFKVF6RQ3H5LMEY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZFL4MIX4STXRFKVF6RQ3H5LMEY/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":"2026-08-04T07:25:16Z","links":{"resolver":"https://pith.science/pith/ZFL4MIX4STXRFKVF6RQ3H5LMEY","bundle":"https://pith.science/pith/ZFL4MIX4STXRFKVF6RQ3H5LMEY/bundle.json","state":"https://pith.science/pith/ZFL4MIX4STXRFKVF6RQ3H5LMEY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZFL4MIX4STXRFKVF6RQ3H5LMEY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ZFL4MIX4STXRFKVF6RQ3H5LMEY","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":"43520a5b31cacc13c89743a78f8e48533864c27094a61a4fb0e74fbf18e22333","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-10-01T11:44:39Z","title_canon_sha256":"a9cffdfb4b1f92d70619d474cfaf60071c31655269f64017b68517a878f49968"},"schema_version":"1.0","source":{"id":"1810.00633","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.00633","created_at":"2026-07-05T00:24:35Z"},{"alias_kind":"arxiv_version","alias_value":"1810.00633v2","created_at":"2026-07-05T00:24:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.00633","created_at":"2026-07-05T00:24:35Z"},{"alias_kind":"pith_short_12","alias_value":"ZFL4MIX4STXR","created_at":"2026-07-05T00:24:35Z"},{"alias_kind":"pith_short_16","alias_value":"ZFL4MIX4STXRFKVF","created_at":"2026-07-05T00:24:35Z"},{"alias_kind":"pith_short_8","alias_value":"ZFL4MIX4","created_at":"2026-07-05T00:24:35Z"}],"graph_snapshots":[{"event_id":"sha256:6b085552acda234db1e75145852d4c1384e7c3390f3b99866f85c659c0352e19","target":"graph","created_at":"2026-07-05T00:24:35Z","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/1810.00633/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this article, we revisit random site and bond percolation in square lattice focusing primarily on the behavior of entropy and order parameter. In the case of traditional site percolation, we find that both the quantities are zero at $p=0$ revealing that the system is in the perfectly ordered and in the disordered state at the same time. Moreover, we find that entropy with $1-p$, which is the equivalent counterpart of temperature, first increases and then decreases again but we know that entropy with temperature cannot decrease. However, bond percolation does not suffer from either of these ","authors_text":"M. K. Hassan, M. S. Rahman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-10-01T11:44:39Z","title":"Redefinition of site percolation in light of entropy and the second law of thermodynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.00633","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":"sha256:89ede032e56abc511d78ef77f0c9d0c7daf863c38faabc281d8c04ce133ed236","target":"record","created_at":"2026-07-05T00:24:35Z","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":"43520a5b31cacc13c89743a78f8e48533864c27094a61a4fb0e74fbf18e22333","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-10-01T11:44:39Z","title_canon_sha256":"a9cffdfb4b1f92d70619d474cfaf60071c31655269f64017b68517a878f49968"},"schema_version":"1.0","source":{"id":"1810.00633","kind":"arxiv","version":2}},"canonical_sha256":"c957c622fc94ef12aaa5f461b3f56c2600fc65a00a103113d2dfb31fa6ffd99b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c957c622fc94ef12aaa5f461b3f56c2600fc65a00a103113d2dfb31fa6ffd99b","first_computed_at":"2026-07-05T00:24:35.848000Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:24:35.848000Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EXwSCnjwtCRlk/9PAQszWRQUnQgy3ul8YHgwVegBI0HNSZ2nzJ+npQZUw4t0DwzYtClglXlpR+yUXhg9CQudAA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:24:35.848471Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.00633","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:89ede032e56abc511d78ef77f0c9d0c7daf863c38faabc281d8c04ce133ed236","sha256:6b085552acda234db1e75145852d4c1384e7c3390f3b99866f85c659c0352e19"],"state_sha256":"9f519045d587a9b8470c395cb68560a24d9896eac6348bb554d63409fb78b19c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4A6Gpt509xRXtb5YWnI4zQS+wIGF6pmTkGhUIbVPBSF30jOEAz95u9j2ajSm7Shpu1Z3sGNLvQtpET+8i5QtDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T07:25:16.696573Z","bundle_sha256":"4006e3c722a8e90d5da68a13fb51330d1f9639e821baa9183cd8c6035697e232"}}