{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:YTW5KT4RMFXGKAF2O7WENJBF7C","short_pith_number":"pith:YTW5KT4R","schema_version":"1.0","canonical_sha256":"c4edd54f91616e6500ba77ec46a425f8a3ecb670f271ab5a03bdc33dcd03c261","source":{"kind":"arxiv","id":"1304.6855","version":1},"attestation_state":"computed","paper":{"title":"The random field Ising model with an asymmetric trimodal probability distribution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"I. A. Hadjiagapiou","submitted_at":"2013-04-25T10:01:00Z","abstract_excerpt":"The Ising model in the presence of a random field is investigated within the mean field approximation based on Landau expansion. The random field is drawn from the trimodal probability distribution $P(h_{i})=p \\delta(h_{i}-h_{0}) + q \\delta (h_{i}+h_{0}) + r \\delta(h_{i})$, where the probabilities $p, q, r$ take on values within the interval $[0,1]$ consistent with the constraint $p+q+r=1$ (asymmetric distribution), $h_{i}$ is the random field variable and $h_{0}$ the respective strength. This probability distribution is an extension of the bimodal one allowing for the existence in the lattice"},"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":"1304.6855","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-04-25T10:01:00Z","cross_cats_sorted":[],"title_canon_sha256":"aec1877d48803d0922b08775928e1bb4c7829de4d9aeafef415d2825cdd94544","abstract_canon_sha256":"3e465e6fb652c726cc29ffbcc4241efa8a52b7bf29d73833bf1d795e8d95e39a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:27:10.961532Z","signature_b64":"Q0pEq9TvDxCHIDSFBl+tRZlDTEIgvvvmC4biRlIHHj/AZlOUpQFA+/7DE7538nY/fp+9eo+SPIekzTJjU0DOBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c4edd54f91616e6500ba77ec46a425f8a3ecb670f271ab5a03bdc33dcd03c261","last_reissued_at":"2026-05-18T03:27:10.961094Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:27:10.961094Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The random field Ising model with an asymmetric trimodal probability distribution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"I. A. Hadjiagapiou","submitted_at":"2013-04-25T10:01:00Z","abstract_excerpt":"The Ising model in the presence of a random field is investigated within the mean field approximation based on Landau expansion. The random field is drawn from the trimodal probability distribution $P(h_{i})=p \\delta(h_{i}-h_{0}) + q \\delta (h_{i}+h_{0}) + r \\delta(h_{i})$, where the probabilities $p, q, r$ take on values within the interval $[0,1]$ consistent with the constraint $p+q+r=1$ (asymmetric distribution), $h_{i}$ is the random field variable and $h_{0}$ the respective strength. This probability distribution is an extension of the bimodal one allowing for the existence in the lattice"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.6855","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":"1304.6855","created_at":"2026-05-18T03:27:10.961156+00:00"},{"alias_kind":"arxiv_version","alias_value":"1304.6855v1","created_at":"2026-05-18T03:27:10.961156+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.6855","created_at":"2026-05-18T03:27:10.961156+00:00"},{"alias_kind":"pith_short_12","alias_value":"YTW5KT4RMFXG","created_at":"2026-05-18T12:28:09.283467+00:00"},{"alias_kind":"pith_short_16","alias_value":"YTW5KT4RMFXGKAF2","created_at":"2026-05-18T12:28:09.283467+00:00"},{"alias_kind":"pith_short_8","alias_value":"YTW5KT4R","created_at":"2026-05-18T12:28:09.283467+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/YTW5KT4RMFXGKAF2O7WENJBF7C","json":"https://pith.science/pith/YTW5KT4RMFXGKAF2O7WENJBF7C.json","graph_json":"https://pith.science/api/pith-number/YTW5KT4RMFXGKAF2O7WENJBF7C/graph.json","events_json":"https://pith.science/api/pith-number/YTW5KT4RMFXGKAF2O7WENJBF7C/events.json","paper":"https://pith.science/paper/YTW5KT4R"},"agent_actions":{"view_html":"https://pith.science/pith/YTW5KT4RMFXGKAF2O7WENJBF7C","download_json":"https://pith.science/pith/YTW5KT4RMFXGKAF2O7WENJBF7C.json","view_paper":"https://pith.science/paper/YTW5KT4R","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1304.6855&json=true","fetch_graph":"https://pith.science/api/pith-number/YTW5KT4RMFXGKAF2O7WENJBF7C/graph.json","fetch_events":"https://pith.science/api/pith-number/YTW5KT4RMFXGKAF2O7WENJBF7C/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YTW5KT4RMFXGKAF2O7WENJBF7C/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YTW5KT4RMFXGKAF2O7WENJBF7C/action/storage_attestation","attest_author":"https://pith.science/pith/YTW5KT4RMFXGKAF2O7WENJBF7C/action/author_attestation","sign_citation":"https://pith.science/pith/YTW5KT4RMFXGKAF2O7WENJBF7C/action/citation_signature","submit_replication":"https://pith.science/pith/YTW5KT4RMFXGKAF2O7WENJBF7C/action/replication_record"}},"created_at":"2026-05-18T03:27:10.961156+00:00","updated_at":"2026-05-18T03:27:10.961156+00:00"}