{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:RXQKRPW2XSN6YLBNIFMZWUBXAH","short_pith_number":"pith:RXQKRPW2","canonical_record":{"source":{"id":"1303.0922","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-03-05T04:38:25Z","cross_cats_sorted":[],"title_canon_sha256":"309b6299d642f4ea1af42908e74d7b883fa5b05840cc4ebf85c8bc48fe4d7e12","abstract_canon_sha256":"6f787f138300246c45d088b22a8b3314b987c9ed9341ea1bc249b9d3e98355df"},"schema_version":"1.0"},"canonical_sha256":"8de0a8bedabc9bec2c2d41599b503701c536316a2a64b65f26f84ebe57ce6492","source":{"kind":"arxiv","id":"1303.0922","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.0922","created_at":"2026-05-18T01:51:17Z"},{"alias_kind":"arxiv_version","alias_value":"1303.0922v1","created_at":"2026-05-18T01:51:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.0922","created_at":"2026-05-18T01:51:17Z"},{"alias_kind":"pith_short_12","alias_value":"RXQKRPW2XSN6","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"RXQKRPW2XSN6YLBN","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"RXQKRPW2","created_at":"2026-05-18T12:27:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:RXQKRPW2XSN6YLBNIFMZWUBXAH","target":"record","payload":{"canonical_record":{"source":{"id":"1303.0922","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-03-05T04:38:25Z","cross_cats_sorted":[],"title_canon_sha256":"309b6299d642f4ea1af42908e74d7b883fa5b05840cc4ebf85c8bc48fe4d7e12","abstract_canon_sha256":"6f787f138300246c45d088b22a8b3314b987c9ed9341ea1bc249b9d3e98355df"},"schema_version":"1.0"},"canonical_sha256":"8de0a8bedabc9bec2c2d41599b503701c536316a2a64b65f26f84ebe57ce6492","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:51:17.018101Z","signature_b64":"4OTnEJKH0mp2OavIiaiY2EuZP82SSUtxYdpe6ZcDSSWqlzUq1nBqYLz4sFFQ7nmh19xIN+EYtJnmd+F6r72rBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8de0a8bedabc9bec2c2d41599b503701c536316a2a64b65f26f84ebe57ce6492","last_reissued_at":"2026-05-18T01:51:17.017468Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:51:17.017468Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.0922","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":"2026-05-18T01:51:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rQObGMIf+Y7USVTfvSoBsKJmMVVaguSUwFsvhnCdi17LZg9k8BQgEEjcOYvPH1JKk6AMsCcYO9jk1uWanHYRBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T00:25:38.525162Z"},"content_sha256":"9101b38c5a52703850fea4fe46783c3ece7fbf8ff37336d9de3e211840e03a11","schema_version":"1.0","event_id":"sha256:9101b38c5a52703850fea4fe46783c3ece7fbf8ff37336d9de3e211840e03a11"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:RXQKRPW2XSN6YLBNIFMZWUBXAH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Critical behavior of self-assembled rigid rods on two-dimensional lattices: Bethe-Peierls approximation and Monte Carlo simulations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"A. J. Ramirez-Pastor, D. A. Stariolo, D. H. Linares, L. G. L\\'opez, S. A. Cannas","submitted_at":"2013-03-05T04:38:25Z","abstract_excerpt":"The critical behavior of adsorbed monomers that reversibly polymerize into linear chains with restricted orientations relative to the substrate has been studied. In the model considered here, which is known as self-assembled rigid rods (SAARs) model, the surface is represented by a twodimensional lattice and a continuous orientational transition occurs as a function of temperature and coverage. The phase diagrams were obtained for the square, triangular and honeycomb lattices by means of Monte Carlo simulations and finite-size scaling analysis. The numerical results were compared with Bethe-Pe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.0922","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":"2026-05-18T01:51:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qSc5Iv2BjK0wsCPWv3UWxct/i+ikWsqcgFbVZZ9uisWxMeDnjA+ZqrvuBqkbANo3OlQ/m4QFNN8Ad4g1zmrQBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T00:25:38.525569Z"},"content_sha256":"10d1ef65b0af1191381891c8f4be7ce48f2961344ab4879ed1bf6b7de6071917","schema_version":"1.0","event_id":"sha256:10d1ef65b0af1191381891c8f4be7ce48f2961344ab4879ed1bf6b7de6071917"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RXQKRPW2XSN6YLBNIFMZWUBXAH/bundle.json","state_url":"https://pith.science/pith/RXQKRPW2XSN6YLBNIFMZWUBXAH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RXQKRPW2XSN6YLBNIFMZWUBXAH/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":"2026-05-31T00:25:38Z","links":{"resolver":"https://pith.science/pith/RXQKRPW2XSN6YLBNIFMZWUBXAH","bundle":"https://pith.science/pith/RXQKRPW2XSN6YLBNIFMZWUBXAH/bundle.json","state":"https://pith.science/pith/RXQKRPW2XSN6YLBNIFMZWUBXAH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RXQKRPW2XSN6YLBNIFMZWUBXAH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:RXQKRPW2XSN6YLBNIFMZWUBXAH","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":"6f787f138300246c45d088b22a8b3314b987c9ed9341ea1bc249b9d3e98355df","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-03-05T04:38:25Z","title_canon_sha256":"309b6299d642f4ea1af42908e74d7b883fa5b05840cc4ebf85c8bc48fe4d7e12"},"schema_version":"1.0","source":{"id":"1303.0922","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.0922","created_at":"2026-05-18T01:51:17Z"},{"alias_kind":"arxiv_version","alias_value":"1303.0922v1","created_at":"2026-05-18T01:51:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.0922","created_at":"2026-05-18T01:51:17Z"},{"alias_kind":"pith_short_12","alias_value":"RXQKRPW2XSN6","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"RXQKRPW2XSN6YLBN","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"RXQKRPW2","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:10d1ef65b0af1191381891c8f4be7ce48f2961344ab4879ed1bf6b7de6071917","target":"graph","created_at":"2026-05-18T01:51:17Z","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":"The critical behavior of adsorbed monomers that reversibly polymerize into linear chains with restricted orientations relative to the substrate has been studied. In the model considered here, which is known as self-assembled rigid rods (SAARs) model, the surface is represented by a twodimensional lattice and a continuous orientational transition occurs as a function of temperature and coverage. The phase diagrams were obtained for the square, triangular and honeycomb lattices by means of Monte Carlo simulations and finite-size scaling analysis. The numerical results were compared with Bethe-Pe","authors_text":"A. J. Ramirez-Pastor, D. A. Stariolo, D. H. Linares, L. G. L\\'opez, S. A. Cannas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-03-05T04:38:25Z","title":"Critical behavior of self-assembled rigid rods on two-dimensional lattices: Bethe-Peierls approximation and Monte Carlo simulations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.0922","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":"sha256:9101b38c5a52703850fea4fe46783c3ece7fbf8ff37336d9de3e211840e03a11","target":"record","created_at":"2026-05-18T01:51:17Z","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":"6f787f138300246c45d088b22a8b3314b987c9ed9341ea1bc249b9d3e98355df","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-03-05T04:38:25Z","title_canon_sha256":"309b6299d642f4ea1af42908e74d7b883fa5b05840cc4ebf85c8bc48fe4d7e12"},"schema_version":"1.0","source":{"id":"1303.0922","kind":"arxiv","version":1}},"canonical_sha256":"8de0a8bedabc9bec2c2d41599b503701c536316a2a64b65f26f84ebe57ce6492","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8de0a8bedabc9bec2c2d41599b503701c536316a2a64b65f26f84ebe57ce6492","first_computed_at":"2026-05-18T01:51:17.017468Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:51:17.017468Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4OTnEJKH0mp2OavIiaiY2EuZP82SSUtxYdpe6ZcDSSWqlzUq1nBqYLz4sFFQ7nmh19xIN+EYtJnmd+F6r72rBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:51:17.018101Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.0922","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9101b38c5a52703850fea4fe46783c3ece7fbf8ff37336d9de3e211840e03a11","sha256:10d1ef65b0af1191381891c8f4be7ce48f2961344ab4879ed1bf6b7de6071917"],"state_sha256":"c586c7c5e6d7066bed06fb78ecf678bedf54a902434890475df778d9bffd5e9a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6v5Ne1q1m/IIGpnCk4iSZhvDCdB7pxkLvayaPvAUqQJ/qC10TG4cY1vN5tM5JZ9qqwiBaKLv2VnOqh2I5cSlCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T00:25:38.528469Z","bundle_sha256":"6c544239ff5daea374a227dc12a2a9d0b39bf1c2aca2da8309fa24f2bcc8c0b9"}}