{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:7GCOPZOXLIGTLJ47PMNAB6KUSO","short_pith_number":"pith:7GCOPZOX","canonical_record":{"source":{"id":"cond-mat/0610474","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-10-17T14:12:38Z","cross_cats_sorted":[],"title_canon_sha256":"a27e04a631d86a399b666b468b138c7e4e8faaaf2987d693e62196fbc3e026bb","abstract_canon_sha256":"9ad27480507b61bb1a534aeb0655e3a9db4bf3d2661d2e4f18ab341967ab360e"},"schema_version":"1.0"},"canonical_sha256":"f984e7e5d75a0d35a79f7b1a00f95493bc688e7187060e70d560d85c368fd11c","source":{"kind":"arxiv","id":"cond-mat/0610474","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0610474","created_at":"2026-05-18T00:36:19Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0610474v1","created_at":"2026-05-18T00:36:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0610474","created_at":"2026-05-18T00:36:19Z"},{"alias_kind":"pith_short_12","alias_value":"7GCOPZOXLIGT","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"7GCOPZOXLIGTLJ47","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"7GCOPZOX","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:7GCOPZOXLIGTLJ47PMNAB6KUSO","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0610474","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-10-17T14:12:38Z","cross_cats_sorted":[],"title_canon_sha256":"a27e04a631d86a399b666b468b138c7e4e8faaaf2987d693e62196fbc3e026bb","abstract_canon_sha256":"9ad27480507b61bb1a534aeb0655e3a9db4bf3d2661d2e4f18ab341967ab360e"},"schema_version":"1.0"},"canonical_sha256":"f984e7e5d75a0d35a79f7b1a00f95493bc688e7187060e70d560d85c368fd11c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:36:19.984968Z","signature_b64":"xbfPUez0kHdOtYwMmoCkMhKLE6+8CeUgdjU5voz08lf2aU2xniPgc2ouBoUZGGe7/DVmkJ9T63lecQ1dU2itDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f984e7e5d75a0d35a79f7b1a00f95493bc688e7187060e70d560d85c368fd11c","last_reissued_at":"2026-05-18T00:36:19.984393Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:36:19.984393Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0610474","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":"2026-05-18T00:36:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NhocBTA0dGwWxbuD/Jqot5efpm/PbCVOSg/QjLQ8hCueeRWZsn8oSssQrvNm5MLkgPjDD6NWXWF24s4eyYkEAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T20:09:57.061435Z"},"content_sha256":"f44818158a1551487a53020463882c746a27e4dd7c91191a3abdd34b5b000c51","schema_version":"1.0","event_id":"sha256:f44818158a1551487a53020463882c746a27e4dd7c91191a3abdd34b5b000c51"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:7GCOPZOXLIGTLJ47PMNAB6KUSO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Interfacial morphology and correlations in adsorption at a chemically structured substrate - exact results in d=2","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"M. Napiorkowski, P Jakubczyk","submitted_at":"2006-10-17T14:12:38Z","abstract_excerpt":"Adsorption at a 1-dimensional planar substrate equipped with a localized chemical inhomogeneity is studied within the framework of a continuum interfacial model from the point of view of interfacial morphology and correlation function properties. Exact expressions for the one-point and two-point probability distribution functions $P_\\Gamma (l_\\Gamma)$ and $P_{\\Gamma_1, \\Gamma_2}(l_{\\Gamma_1},l_{\\Gamma_2})$, $l_\\Gamma$ being the interface position above a fixed point $\\Gamma$ of the substrate, are derived for temperature corresponding to the inhomogeneity's wetting transition. It is demonstrate"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0610474","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":"2026-05-18T00:36:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ub1cwDTiN7M7nPH+fGfpqv4Y/kyVzVoPREZZ5Td23tB0qHGRfWFS4z9IqkuZlgUdNIe/KisNHgoKOTqperSRCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T20:09:57.061776Z"},"content_sha256":"28b4f51da4b8f87115ce2831cc1e87db4c9997d22aeadc1d5d0a8b472adf99ab","schema_version":"1.0","event_id":"sha256:28b4f51da4b8f87115ce2831cc1e87db4c9997d22aeadc1d5d0a8b472adf99ab"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7GCOPZOXLIGTLJ47PMNAB6KUSO/bundle.json","state_url":"https://pith.science/pith/7GCOPZOXLIGTLJ47PMNAB6KUSO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7GCOPZOXLIGTLJ47PMNAB6KUSO/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":"2026-06-03T20:09:57Z","links":{"resolver":"https://pith.science/pith/7GCOPZOXLIGTLJ47PMNAB6KUSO","bundle":"https://pith.science/pith/7GCOPZOXLIGTLJ47PMNAB6KUSO/bundle.json","state":"https://pith.science/pith/7GCOPZOXLIGTLJ47PMNAB6KUSO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7GCOPZOXLIGTLJ47PMNAB6KUSO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:7GCOPZOXLIGTLJ47PMNAB6KUSO","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":"9ad27480507b61bb1a534aeb0655e3a9db4bf3d2661d2e4f18ab341967ab360e","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-10-17T14:12:38Z","title_canon_sha256":"a27e04a631d86a399b666b468b138c7e4e8faaaf2987d693e62196fbc3e026bb"},"schema_version":"1.0","source":{"id":"cond-mat/0610474","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0610474","created_at":"2026-05-18T00:36:19Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0610474v1","created_at":"2026-05-18T00:36:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0610474","created_at":"2026-05-18T00:36:19Z"},{"alias_kind":"pith_short_12","alias_value":"7GCOPZOXLIGT","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"7GCOPZOXLIGTLJ47","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"7GCOPZOX","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:28b4f51da4b8f87115ce2831cc1e87db4c9997d22aeadc1d5d0a8b472adf99ab","target":"graph","created_at":"2026-05-18T00:36:19Z","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":"Adsorption at a 1-dimensional planar substrate equipped with a localized chemical inhomogeneity is studied within the framework of a continuum interfacial model from the point of view of interfacial morphology and correlation function properties. Exact expressions for the one-point and two-point probability distribution functions $P_\\Gamma (l_\\Gamma)$ and $P_{\\Gamma_1, \\Gamma_2}(l_{\\Gamma_1},l_{\\Gamma_2})$, $l_\\Gamma$ being the interface position above a fixed point $\\Gamma$ of the substrate, are derived for temperature corresponding to the inhomogeneity's wetting transition. It is demonstrate","authors_text":"M. Napiorkowski, P Jakubczyk","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-10-17T14:12:38Z","title":"Interfacial morphology and correlations in adsorption at a chemically structured substrate - exact results in d=2"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0610474","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:f44818158a1551487a53020463882c746a27e4dd7c91191a3abdd34b5b000c51","target":"record","created_at":"2026-05-18T00:36:19Z","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":"9ad27480507b61bb1a534aeb0655e3a9db4bf3d2661d2e4f18ab341967ab360e","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-10-17T14:12:38Z","title_canon_sha256":"a27e04a631d86a399b666b468b138c7e4e8faaaf2987d693e62196fbc3e026bb"},"schema_version":"1.0","source":{"id":"cond-mat/0610474","kind":"arxiv","version":1}},"canonical_sha256":"f984e7e5d75a0d35a79f7b1a00f95493bc688e7187060e70d560d85c368fd11c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f984e7e5d75a0d35a79f7b1a00f95493bc688e7187060e70d560d85c368fd11c","first_computed_at":"2026-05-18T00:36:19.984393Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:36:19.984393Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xbfPUez0kHdOtYwMmoCkMhKLE6+8CeUgdjU5voz08lf2aU2xniPgc2ouBoUZGGe7/DVmkJ9T63lecQ1dU2itDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:36:19.984968Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0610474","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f44818158a1551487a53020463882c746a27e4dd7c91191a3abdd34b5b000c51","sha256:28b4f51da4b8f87115ce2831cc1e87db4c9997d22aeadc1d5d0a8b472adf99ab"],"state_sha256":"3a13d15ee690c874bd444319562398751d1df988a3c062b538ba8a682c492689"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l38DZst+8gLv+8XXbL0z/mlom726k9BO9ynTuNL/8BBYn/hHyzdlrvnybbmTi9dV7HUuOBttMYwZBgKfavGbCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T20:09:57.063709Z","bundle_sha256":"76784c3f791ea8aa761fc2c668b3d4769de0d279a1c4be52ca94f62d32eb96d1"}}