{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:2QSA74622SWSZUQ6N7FJNR3BK2","short_pith_number":"pith:2QSA7462","canonical_record":{"source":{"id":"0912.0778","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2009-12-04T06:16:34Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"5568bf9749d3ea27dd3bb329bbfad6d0c9473cc152d1b6afa5131fb93459ffa9","abstract_canon_sha256":"4577239a1806f5fed0a1d6447901a55d3d92523343371eb1f677cef74dfb5be8"},"schema_version":"1.0"},"canonical_sha256":"d4240ff3dad4ad2cd21e6fca96c7615695a286cbce87c0541ad0d8f2ce569028","source":{"kind":"arxiv","id":"0912.0778","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.0778","created_at":"2026-05-18T04:41:44Z"},{"alias_kind":"arxiv_version","alias_value":"0912.0778v1","created_at":"2026-05-18T04:41:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.0778","created_at":"2026-05-18T04:41:44Z"},{"alias_kind":"pith_short_12","alias_value":"2QSA74622SWS","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"2QSA74622SWSZUQ6","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"2QSA7462","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:2QSA74622SWSZUQ6N7FJNR3BK2","target":"record","payload":{"canonical_record":{"source":{"id":"0912.0778","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2009-12-04T06:16:34Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"5568bf9749d3ea27dd3bb329bbfad6d0c9473cc152d1b6afa5131fb93459ffa9","abstract_canon_sha256":"4577239a1806f5fed0a1d6447901a55d3d92523343371eb1f677cef74dfb5be8"},"schema_version":"1.0"},"canonical_sha256":"d4240ff3dad4ad2cd21e6fca96c7615695a286cbce87c0541ad0d8f2ce569028","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:41:44.024711Z","signature_b64":"SoweL+JbLqS0Xu8WWbH0ImUHTZk5bcuZR/+M0gAEkFCg/BOd2T92eXB+YYuNIE3tFPHTxRLWQ8r39tlYTpi+CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d4240ff3dad4ad2cd21e6fca96c7615695a286cbce87c0541ad0d8f2ce569028","last_reissued_at":"2026-05-18T04:41:44.024305Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:41:44.024305Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0912.0778","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":"2026-05-18T04:41:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GloPfHNKQYJTMXxGiDEsSiDNqJ64B7H3iaMA78NAo+JMtvpbJvl2Zi3upGe+SYziexBrFS0RZP1MkF9I3IOXDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:26:58.000526Z"},"content_sha256":"4e3e04c6d3cbcd293d56bcff2abb513983e0b5b174123dcc0fc894bfe4d119de","schema_version":"1.0","event_id":"sha256:4e3e04c6d3cbcd293d56bcff2abb513983e0b5b174123dcc0fc894bfe4d119de"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:2QSA74622SWSZUQ6N7FJNR3BK2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Percolation of the aligned dimers on a square lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"N.I. Lebovka, N.V. Vygornitskii, V.A. Cherkasova, Yu.Yu. Tarasevich","submitted_at":"2009-12-04T06:16:34Z","abstract_excerpt":"Percolation and jamming phenomena are investigated for anisotropic sequential deposition of dimers (particles occupying two adjacent adsorption sites) on a square lattice. The influence of dimer alignment on the electrical conductivity was examined. The percolation threshold for deposition of dimers was lower than for deposition of monomers. Nevertheless, the problem belongs to the universality class of random percolation. The lowest percolation threshold (pc = 0.562) was observed for isotropic orientation of dimers. It was higher (pc = 0.586) in the case of dimers aligned strictly along one d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.0778","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":"2026-05-18T04:41:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/92DS40D2EoMtnB9OwwSf4rzFQu2yHmEG/t/NNAP9abO5r0JsJzPzBSZ4rFQ9ur5M3OiqVO9YjrxoFzq5hAXCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:26:58.001213Z"},"content_sha256":"0cea4d01309661345ce00e97900c0ff42bbfaff345aeb1b523a54331d57f83d9","schema_version":"1.0","event_id":"sha256:0cea4d01309661345ce00e97900c0ff42bbfaff345aeb1b523a54331d57f83d9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2QSA74622SWSZUQ6N7FJNR3BK2/bundle.json","state_url":"https://pith.science/pith/2QSA74622SWSZUQ6N7FJNR3BK2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2QSA74622SWSZUQ6N7FJNR3BK2/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":"2026-05-25T22:26:58Z","links":{"resolver":"https://pith.science/pith/2QSA74622SWSZUQ6N7FJNR3BK2","bundle":"https://pith.science/pith/2QSA74622SWSZUQ6N7FJNR3BK2/bundle.json","state":"https://pith.science/pith/2QSA74622SWSZUQ6N7FJNR3BK2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2QSA74622SWSZUQ6N7FJNR3BK2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:2QSA74622SWSZUQ6N7FJNR3BK2","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":"4577239a1806f5fed0a1d6447901a55d3d92523343371eb1f677cef74dfb5be8","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2009-12-04T06:16:34Z","title_canon_sha256":"5568bf9749d3ea27dd3bb329bbfad6d0c9473cc152d1b6afa5131fb93459ffa9"},"schema_version":"1.0","source":{"id":"0912.0778","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.0778","created_at":"2026-05-18T04:41:44Z"},{"alias_kind":"arxiv_version","alias_value":"0912.0778v1","created_at":"2026-05-18T04:41:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.0778","created_at":"2026-05-18T04:41:44Z"},{"alias_kind":"pith_short_12","alias_value":"2QSA74622SWS","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"2QSA74622SWSZUQ6","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"2QSA7462","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:0cea4d01309661345ce00e97900c0ff42bbfaff345aeb1b523a54331d57f83d9","target":"graph","created_at":"2026-05-18T04:41:44Z","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":"Percolation and jamming phenomena are investigated for anisotropic sequential deposition of dimers (particles occupying two adjacent adsorption sites) on a square lattice. The influence of dimer alignment on the electrical conductivity was examined. The percolation threshold for deposition of dimers was lower than for deposition of monomers. Nevertheless, the problem belongs to the universality class of random percolation. The lowest percolation threshold (pc = 0.562) was observed for isotropic orientation of dimers. It was higher (pc = 0.586) in the case of dimers aligned strictly along one d","authors_text":"N.I. Lebovka, N.V. Vygornitskii, V.A. Cherkasova, Yu.Yu. Tarasevich","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2009-12-04T06:16:34Z","title":"Percolation of the aligned dimers on a square lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.0778","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":"sha256:4e3e04c6d3cbcd293d56bcff2abb513983e0b5b174123dcc0fc894bfe4d119de","target":"record","created_at":"2026-05-18T04:41:44Z","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":"4577239a1806f5fed0a1d6447901a55d3d92523343371eb1f677cef74dfb5be8","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2009-12-04T06:16:34Z","title_canon_sha256":"5568bf9749d3ea27dd3bb329bbfad6d0c9473cc152d1b6afa5131fb93459ffa9"},"schema_version":"1.0","source":{"id":"0912.0778","kind":"arxiv","version":1}},"canonical_sha256":"d4240ff3dad4ad2cd21e6fca96c7615695a286cbce87c0541ad0d8f2ce569028","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d4240ff3dad4ad2cd21e6fca96c7615695a286cbce87c0541ad0d8f2ce569028","first_computed_at":"2026-05-18T04:41:44.024305Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:41:44.024305Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SoweL+JbLqS0Xu8WWbH0ImUHTZk5bcuZR/+M0gAEkFCg/BOd2T92eXB+YYuNIE3tFPHTxRLWQ8r39tlYTpi+CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:41:44.024711Z","signed_message":"canonical_sha256_bytes"},"source_id":"0912.0778","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4e3e04c6d3cbcd293d56bcff2abb513983e0b5b174123dcc0fc894bfe4d119de","sha256:0cea4d01309661345ce00e97900c0ff42bbfaff345aeb1b523a54331d57f83d9"],"state_sha256":"f6c965b0cf4ac278b3fcf7a021531ad65b24e2267f1aa1932b5ed93dc7152dcd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tx9UY0wUiBVyZ8eKB5oQlXG7hU9oI20BDwVb0/pB4BXrHAznzJ0V5xToPk86z+CQTm81XqwgdhkIGjQHZRD1Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T22:26:58.004817Z","bundle_sha256":"2e8814271c4f576488c317d5593116c11c205107f1f34f99e8690b354294a2e0"}}