{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:M7WD4OE52KM5DT6A4QM4RVWCEP","short_pith_number":"pith:M7WD4OE5","schema_version":"1.0","canonical_sha256":"67ec3e389dd299d1cfc0e419c8d6c223fd99598e35728d8f85e2748a4b8d3719","source":{"kind":"arxiv","id":"1205.6875","version":1},"attestation_state":"computed","paper":{"title":"Nonmonotonic size dependence of the critical concentration in 2D percolation of straight rigid rods under equilibrium conditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.chem-ph","physics.comp-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"A. J. Ramirez-Pastor, D. A. Matoz-Fernandez, D. H. Linares","submitted_at":"2012-05-31T03:22:30Z","abstract_excerpt":"Numerical simulations and finite-size scaling analysis have been carried out to study the percolation behavior of straight rigid rods of length $k$ ($k$-mers) on two-dimensional square lattices. The $k$-mers, containing $k$ identical units (each one occupying a lattice site), were adsorbed at equilibrium on the lattice. The process was monitored by following the probability $R_{L,k}(\\theta)$ that a lattice composed of $L \\times L$ sites percolates at a concentration $\\theta$ of sites occupied by particles of size $k$. A nonmonotonic size dependence was observed for the percolation threshold, w"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1205.6875","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-05-31T03:22:30Z","cross_cats_sorted":["physics.chem-ph","physics.comp-ph"],"title_canon_sha256":"f64e6afbdfe45a1f82a61e2a6cb31ac899a98c7ae72658fc123d3a1eee0c5068","abstract_canon_sha256":"c9bb8d1a0566b51d0896d832c681860afd04c6522d580907a62e7567ae359aae"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:57:09.629299Z","signature_b64":"TwiTJlM7BtDT6klpwIfcF6PSEbbn5VFdiwqmIV5Bc9yD4Q2hGeNmclSFcHdt3DIJRTG7Enu7orwpiPpQdWOsBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"67ec3e389dd299d1cfc0e419c8d6c223fd99598e35728d8f85e2748a4b8d3719","last_reissued_at":"2026-05-18T01:57:09.628811Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:57:09.628811Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonmonotonic size dependence of the critical concentration in 2D percolation of straight rigid rods under equilibrium conditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.chem-ph","physics.comp-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"A. J. Ramirez-Pastor, D. A. Matoz-Fernandez, D. H. Linares","submitted_at":"2012-05-31T03:22:30Z","abstract_excerpt":"Numerical simulations and finite-size scaling analysis have been carried out to study the percolation behavior of straight rigid rods of length $k$ ($k$-mers) on two-dimensional square lattices. The $k$-mers, containing $k$ identical units (each one occupying a lattice site), were adsorbed at equilibrium on the lattice. The process was monitored by following the probability $R_{L,k}(\\theta)$ that a lattice composed of $L \\times L$ sites percolates at a concentration $\\theta$ of sites occupied by particles of size $k$. A nonmonotonic size dependence was observed for the percolation threshold, w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.6875","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1205.6875","created_at":"2026-05-18T01:57:09.628872+00:00"},{"alias_kind":"arxiv_version","alias_value":"1205.6875v1","created_at":"2026-05-18T01:57:09.628872+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.6875","created_at":"2026-05-18T01:57:09.628872+00:00"},{"alias_kind":"pith_short_12","alias_value":"M7WD4OE52KM5","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_16","alias_value":"M7WD4OE52KM5DT6A","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_8","alias_value":"M7WD4OE5","created_at":"2026-05-18T12:27:14.488303+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/M7WD4OE52KM5DT6A4QM4RVWCEP","json":"https://pith.science/pith/M7WD4OE52KM5DT6A4QM4RVWCEP.json","graph_json":"https://pith.science/api/pith-number/M7WD4OE52KM5DT6A4QM4RVWCEP/graph.json","events_json":"https://pith.science/api/pith-number/M7WD4OE52KM5DT6A4QM4RVWCEP/events.json","paper":"https://pith.science/paper/M7WD4OE5"},"agent_actions":{"view_html":"https://pith.science/pith/M7WD4OE52KM5DT6A4QM4RVWCEP","download_json":"https://pith.science/pith/M7WD4OE52KM5DT6A4QM4RVWCEP.json","view_paper":"https://pith.science/paper/M7WD4OE5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1205.6875&json=true","fetch_graph":"https://pith.science/api/pith-number/M7WD4OE52KM5DT6A4QM4RVWCEP/graph.json","fetch_events":"https://pith.science/api/pith-number/M7WD4OE52KM5DT6A4QM4RVWCEP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/M7WD4OE52KM5DT6A4QM4RVWCEP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/M7WD4OE52KM5DT6A4QM4RVWCEP/action/storage_attestation","attest_author":"https://pith.science/pith/M7WD4OE52KM5DT6A4QM4RVWCEP/action/author_attestation","sign_citation":"https://pith.science/pith/M7WD4OE52KM5DT6A4QM4RVWCEP/action/citation_signature","submit_replication":"https://pith.science/pith/M7WD4OE52KM5DT6A4QM4RVWCEP/action/replication_record"}},"created_at":"2026-05-18T01:57:09.628872+00:00","updated_at":"2026-05-18T01:57:09.628872+00:00"}