{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:W5K2JEFNJCNOKBFU4PYSQQIRJY","short_pith_number":"pith:W5K2JEFN","schema_version":"1.0","canonical_sha256":"b755a490ad489ae504b4e3f12841114e028b73c5b59179d491bead324cf33e01","source":{"kind":"arxiv","id":"cond-mat/0606179","version":2},"attestation_state":"computed","paper":{"title":"Random field Ising model on networks with inhomogeneous connections","license":"","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.stat-mech","authors_text":"Hawoong Jeong, Jae Dong Noh, Sang Hoon Lee","submitted_at":"2006-06-07T13:06:03Z","abstract_excerpt":"We study a zero-temperature phase transition in the random field Ising model on scale-free networks with the degree exponent $\\gamma$. Using an analytic mean-field theory, we find that the spins are always in the ordered phase for $\\gamma<3$. On the other hand, the spins undergo a phase transition from an ordered phase to a disordered phase as the dispersion of the random fields increases for $\\gamma > 3$. The phase transition may be either continuous or discontinuous depending on the shape of the random field distribution. We derive the condition for the nature of the phase transition. Numeri"},"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":"cond-mat/0606179","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-06-07T13:06:03Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"11d66038a48df91ed7bc635aa33ca923cd304b1696bb717e6e025d85c98d17c4","abstract_canon_sha256":"b7b16ee95f2345e775008ffd06f3027eb7b95cfff169d18923b212f03288d49a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:54:51.893714Z","signature_b64":"fizqhJFdqMebh/J1wvv+a5k6zvWTysjN9xrtHCJ3Mi1Y+qBc9wXZ+IcGvWBngAHQowvrz6Tf7d73tSVVL3FOCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b755a490ad489ae504b4e3f12841114e028b73c5b59179d491bead324cf33e01","last_reissued_at":"2026-07-04T14:54:51.893350Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:54:51.893350Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Random field Ising model on networks with inhomogeneous connections","license":"","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.stat-mech","authors_text":"Hawoong Jeong, Jae Dong Noh, Sang Hoon Lee","submitted_at":"2006-06-07T13:06:03Z","abstract_excerpt":"We study a zero-temperature phase transition in the random field Ising model on scale-free networks with the degree exponent $\\gamma$. Using an analytic mean-field theory, we find that the spins are always in the ordered phase for $\\gamma<3$. On the other hand, the spins undergo a phase transition from an ordered phase to a disordered phase as the dispersion of the random fields increases for $\\gamma > 3$. The phase transition may be either continuous or discontinuous depending on the shape of the random field distribution. We derive the condition for the nature of the phase transition. Numeri"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0606179","kind":"arxiv","version":2},"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/cond-mat/0606179/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":"cond-mat/0606179","created_at":"2026-07-04T14:54:51.893411+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0606179v2","created_at":"2026-07-04T14:54:51.893411+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0606179","created_at":"2026-07-04T14:54:51.893411+00:00"},{"alias_kind":"pith_short_12","alias_value":"W5K2JEFNJCNO","created_at":"2026-07-04T14:54:51.893411+00:00"},{"alias_kind":"pith_short_16","alias_value":"W5K2JEFNJCNOKBFU","created_at":"2026-07-04T14:54:51.893411+00:00"},{"alias_kind":"pith_short_8","alias_value":"W5K2JEFN","created_at":"2026-07-04T14:54:51.893411+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/W5K2JEFNJCNOKBFU4PYSQQIRJY","json":"https://pith.science/pith/W5K2JEFNJCNOKBFU4PYSQQIRJY.json","graph_json":"https://pith.science/api/pith-number/W5K2JEFNJCNOKBFU4PYSQQIRJY/graph.json","events_json":"https://pith.science/api/pith-number/W5K2JEFNJCNOKBFU4PYSQQIRJY/events.json","paper":"https://pith.science/paper/W5K2JEFN"},"agent_actions":{"view_html":"https://pith.science/pith/W5K2JEFNJCNOKBFU4PYSQQIRJY","download_json":"https://pith.science/pith/W5K2JEFNJCNOKBFU4PYSQQIRJY.json","view_paper":"https://pith.science/paper/W5K2JEFN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0606179&json=true","fetch_graph":"https://pith.science/api/pith-number/W5K2JEFNJCNOKBFU4PYSQQIRJY/graph.json","fetch_events":"https://pith.science/api/pith-number/W5K2JEFNJCNOKBFU4PYSQQIRJY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/W5K2JEFNJCNOKBFU4PYSQQIRJY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/W5K2JEFNJCNOKBFU4PYSQQIRJY/action/storage_attestation","attest_author":"https://pith.science/pith/W5K2JEFNJCNOKBFU4PYSQQIRJY/action/author_attestation","sign_citation":"https://pith.science/pith/W5K2JEFNJCNOKBFU4PYSQQIRJY/action/citation_signature","submit_replication":"https://pith.science/pith/W5K2JEFNJCNOKBFU4PYSQQIRJY/action/replication_record"}},"created_at":"2026-07-04T14:54:51.893411+00:00","updated_at":"2026-07-04T14:54:51.893411+00:00"}