{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:4G37WNMFB7JWSEBJLJ5VMM7Y6T","short_pith_number":"pith:4G37WNMF","schema_version":"1.0","canonical_sha256":"e1b7fb35850fd36910295a7b5633f8f4e8fa46b9070c30b66948dcf87a11fafe","source":{"kind":"arxiv","id":"2411.17497","version":1},"attestation_state":"computed","paper":{"title":"Observation of droplets in dimer model on a triangular lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","physics.comp-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Anton Nazarov, Daria Shvalyuk","submitted_at":"2024-11-26T15:09:30Z","abstract_excerpt":"In this paper, we consider the formation of droplets in the dimer model on a triangular lattice. The droplets in the dimer model are superposition polygons formed as two overlapping configurations of dimers: constant and movable. We demonstrate that specific local energies of dimers and low temperatures lead to the emergence of a macroscopic droplet. The motivation for this study was the phenomenon of the formation of equilibrium droplets under certain conditions in the Ising model within the framework of the Dobrushin-Koteck\\'y-Shlosman theory. Due to the deep connections between the Ising mo"},"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":"2411.17497","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-11-26T15:09:30Z","cross_cats_sorted":["math-ph","math.MP","physics.comp-ph"],"title_canon_sha256":"2ae33724304ff778d08e0aa804cdee9df4657c89bd6593002fcbefae245568c4","abstract_canon_sha256":"f462ef858a4d12feda60e7d31c615420cb6a696d10e8d5861510e106d2094366"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:40:48.048184Z","signature_b64":"7Tpef1STzsXTrXTHEKj3Lq5otSL6m40OaSDTiFBepnr4KeRPwvSvirRLwa+ousc6lDu8HL9t+Ec9GF9C/eVXCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e1b7fb35850fd36910295a7b5633f8f4e8fa46b9070c30b66948dcf87a11fafe","last_reissued_at":"2026-07-05T09:40:48.047725Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:40:48.047725Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Observation of droplets in dimer model on a triangular lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","physics.comp-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Anton Nazarov, Daria Shvalyuk","submitted_at":"2024-11-26T15:09:30Z","abstract_excerpt":"In this paper, we consider the formation of droplets in the dimer model on a triangular lattice. The droplets in the dimer model are superposition polygons formed as two overlapping configurations of dimers: constant and movable. We demonstrate that specific local energies of dimers and low temperatures lead to the emergence of a macroscopic droplet. The motivation for this study was the phenomenon of the formation of equilibrium droplets under certain conditions in the Ising model within the framework of the Dobrushin-Koteck\\'y-Shlosman theory. Due to the deep connections between the Ising mo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.17497","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.17497/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2411.17497","created_at":"2026-07-05T09:40:48.047782+00:00"},{"alias_kind":"arxiv_version","alias_value":"2411.17497v1","created_at":"2026-07-05T09:40:48.047782+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.17497","created_at":"2026-07-05T09:40:48.047782+00:00"},{"alias_kind":"pith_short_12","alias_value":"4G37WNMFB7JW","created_at":"2026-07-05T09:40:48.047782+00:00"},{"alias_kind":"pith_short_16","alias_value":"4G37WNMFB7JWSEBJ","created_at":"2026-07-05T09:40:48.047782+00:00"},{"alias_kind":"pith_short_8","alias_value":"4G37WNMF","created_at":"2026-07-05T09:40:48.047782+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/4G37WNMFB7JWSEBJLJ5VMM7Y6T","json":"https://pith.science/pith/4G37WNMFB7JWSEBJLJ5VMM7Y6T.json","graph_json":"https://pith.science/api/pith-number/4G37WNMFB7JWSEBJLJ5VMM7Y6T/graph.json","events_json":"https://pith.science/api/pith-number/4G37WNMFB7JWSEBJLJ5VMM7Y6T/events.json","paper":"https://pith.science/paper/4G37WNMF"},"agent_actions":{"view_html":"https://pith.science/pith/4G37WNMFB7JWSEBJLJ5VMM7Y6T","download_json":"https://pith.science/pith/4G37WNMFB7JWSEBJLJ5VMM7Y6T.json","view_paper":"https://pith.science/paper/4G37WNMF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2411.17497&json=true","fetch_graph":"https://pith.science/api/pith-number/4G37WNMFB7JWSEBJLJ5VMM7Y6T/graph.json","fetch_events":"https://pith.science/api/pith-number/4G37WNMFB7JWSEBJLJ5VMM7Y6T/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4G37WNMFB7JWSEBJLJ5VMM7Y6T/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4G37WNMFB7JWSEBJLJ5VMM7Y6T/action/storage_attestation","attest_author":"https://pith.science/pith/4G37WNMFB7JWSEBJLJ5VMM7Y6T/action/author_attestation","sign_citation":"https://pith.science/pith/4G37WNMFB7JWSEBJLJ5VMM7Y6T/action/citation_signature","submit_replication":"https://pith.science/pith/4G37WNMFB7JWSEBJLJ5VMM7Y6T/action/replication_record"}},"created_at":"2026-07-05T09:40:48.047782+00:00","updated_at":"2026-07-05T09:40:48.047782+00:00"}