{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:TP2IU5CWW757YUZCF5AIZMWVIY","short_pith_number":"pith:TP2IU5CW","canonical_record":{"source":{"id":"1402.4425","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2014-02-18T18:10:51Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"5d89af198a47178e24c60bd42fc38f5d034f35ef101dc63e00a05eeb14702b78","abstract_canon_sha256":"156e3bb82d47e200f91b1971c09310219a585ea5cfd2e4db03a3b1952c7a1d14"},"schema_version":"1.0"},"canonical_sha256":"9bf48a7456b7fbfc53222f408cb2d54626c6db6cf5fcee067b4f6f07f55d3fd6","source":{"kind":"arxiv","id":"1402.4425","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.4425","created_at":"2026-05-18T02:42:08Z"},{"alias_kind":"arxiv_version","alias_value":"1402.4425v2","created_at":"2026-05-18T02:42:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.4425","created_at":"2026-05-18T02:42:08Z"},{"alias_kind":"pith_short_12","alias_value":"TP2IU5CWW757","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"TP2IU5CWW757YUZC","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"TP2IU5CW","created_at":"2026-05-18T12:28:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:TP2IU5CWW757YUZCF5AIZMWVIY","target":"record","payload":{"canonical_record":{"source":{"id":"1402.4425","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2014-02-18T18:10:51Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"5d89af198a47178e24c60bd42fc38f5d034f35ef101dc63e00a05eeb14702b78","abstract_canon_sha256":"156e3bb82d47e200f91b1971c09310219a585ea5cfd2e4db03a3b1952c7a1d14"},"schema_version":"1.0"},"canonical_sha256":"9bf48a7456b7fbfc53222f408cb2d54626c6db6cf5fcee067b4f6f07f55d3fd6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:42:08.078534Z","signature_b64":"hC6VfG85Xl88llAaqkxCWyGrnTtGuXtXibggqHW7NgFrGGCNDop1FTBqgNme1XvE1q/Tel1OlYHg0f4RN4CGCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9bf48a7456b7fbfc53222f408cb2d54626c6db6cf5fcee067b4f6f07f55d3fd6","last_reissued_at":"2026-05-18T02:42:08.077942Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:42:08.077942Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.4425","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:42:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sE0kypYyS6JF19HyDw1WbeMd6T4/owH5w/M80gr5ascCuxly5EHIgMNIgT9+ybYcRuTnp0fP9C2ZcolN3HOlCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T19:40:24.257459Z"},"content_sha256":"8ae4975855e81839c78ab92a018f8c1705e939667264bbbc534c99cd08e9b48f","schema_version":"1.0","event_id":"sha256:8ae4975855e81839c78ab92a018f8c1705e939667264bbbc534c99cd08e9b48f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:TP2IU5CWW757YUZCF5AIZMWVIY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phase Transitions on Random Lattices: How Random is Topological Disorder?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Hatem Barghathi, Thomas Vojta","submitted_at":"2014-02-18T18:10:51Z","abstract_excerpt":"We study the effects of topological (connectivity) disorder on phase transitions. We identify a broad class of random lattices whose disorder fluctuations decay much faster with increasing length scale than those of generic random systems, yielding a wandering exponent of $\\omega=(d-1)/(2d)$ in $d$ dimensions. %instead of the generic value $\\omega=1/2$. The stability of clean critical points is thus governed by the criterion $(d+1)\\nu > 2$ rather than the usual Harris criterion $d\\nu>2$, making topological disorder less relevant than generic randomness. The Imry-Ma criterion is also modified, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.4425","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":""},"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":"2026-05-18T02:42:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"86eLnfr1d7a/sftH9V83qNMdP7l+QluSzs9aGa0FPEqFzsvO5PwHa20XHoRlr+5P/mlH7+B51T2+rpk3SpS5Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T19:40:24.257811Z"},"content_sha256":"c1ba862f9e9067ebd1797016e3d6ee5616f10289d948a320c8797d97a642426b","schema_version":"1.0","event_id":"sha256:c1ba862f9e9067ebd1797016e3d6ee5616f10289d948a320c8797d97a642426b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TP2IU5CWW757YUZCF5AIZMWVIY/bundle.json","state_url":"https://pith.science/pith/TP2IU5CWW757YUZCF5AIZMWVIY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TP2IU5CWW757YUZCF5AIZMWVIY/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":"2026-06-01T19:40:24Z","links":{"resolver":"https://pith.science/pith/TP2IU5CWW757YUZCF5AIZMWVIY","bundle":"https://pith.science/pith/TP2IU5CWW757YUZCF5AIZMWVIY/bundle.json","state":"https://pith.science/pith/TP2IU5CWW757YUZCF5AIZMWVIY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TP2IU5CWW757YUZCF5AIZMWVIY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:TP2IU5CWW757YUZCF5AIZMWVIY","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":"156e3bb82d47e200f91b1971c09310219a585ea5cfd2e4db03a3b1952c7a1d14","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2014-02-18T18:10:51Z","title_canon_sha256":"5d89af198a47178e24c60bd42fc38f5d034f35ef101dc63e00a05eeb14702b78"},"schema_version":"1.0","source":{"id":"1402.4425","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.4425","created_at":"2026-05-18T02:42:08Z"},{"alias_kind":"arxiv_version","alias_value":"1402.4425v2","created_at":"2026-05-18T02:42:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.4425","created_at":"2026-05-18T02:42:08Z"},{"alias_kind":"pith_short_12","alias_value":"TP2IU5CWW757","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"TP2IU5CWW757YUZC","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"TP2IU5CW","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:c1ba862f9e9067ebd1797016e3d6ee5616f10289d948a320c8797d97a642426b","target":"graph","created_at":"2026-05-18T02:42:08Z","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":"We study the effects of topological (connectivity) disorder on phase transitions. We identify a broad class of random lattices whose disorder fluctuations decay much faster with increasing length scale than those of generic random systems, yielding a wandering exponent of $\\omega=(d-1)/(2d)$ in $d$ dimensions. %instead of the generic value $\\omega=1/2$. The stability of clean critical points is thus governed by the criterion $(d+1)\\nu > 2$ rather than the usual Harris criterion $d\\nu>2$, making topological disorder less relevant than generic randomness. The Imry-Ma criterion is also modified, ","authors_text":"Hatem Barghathi, Thomas Vojta","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2014-02-18T18:10:51Z","title":"Phase Transitions on Random Lattices: How Random is Topological Disorder?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.4425","kind":"arxiv","version":2},"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":"sha256:8ae4975855e81839c78ab92a018f8c1705e939667264bbbc534c99cd08e9b48f","target":"record","created_at":"2026-05-18T02:42:08Z","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":"156e3bb82d47e200f91b1971c09310219a585ea5cfd2e4db03a3b1952c7a1d14","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2014-02-18T18:10:51Z","title_canon_sha256":"5d89af198a47178e24c60bd42fc38f5d034f35ef101dc63e00a05eeb14702b78"},"schema_version":"1.0","source":{"id":"1402.4425","kind":"arxiv","version":2}},"canonical_sha256":"9bf48a7456b7fbfc53222f408cb2d54626c6db6cf5fcee067b4f6f07f55d3fd6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9bf48a7456b7fbfc53222f408cb2d54626c6db6cf5fcee067b4f6f07f55d3fd6","first_computed_at":"2026-05-18T02:42:08.077942Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:42:08.077942Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hC6VfG85Xl88llAaqkxCWyGrnTtGuXtXibggqHW7NgFrGGCNDop1FTBqgNme1XvE1q/Tel1OlYHg0f4RN4CGCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:42:08.078534Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.4425","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8ae4975855e81839c78ab92a018f8c1705e939667264bbbc534c99cd08e9b48f","sha256:c1ba862f9e9067ebd1797016e3d6ee5616f10289d948a320c8797d97a642426b"],"state_sha256":"835e4bc519cdf4faab54ed397c2aa06cec5c821c046d645fdd0633d9a7f4c968"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fwmBWdfteIgPjAzv0GJojc55YI7o/EOiUa1wi1iaTMIuhkdhUDdt9P6/wRHhIDcvrnGZdXyoJMJyt/XDJ0QHCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T19:40:24.259733Z","bundle_sha256":"448f4c488c507bf1c2e73742b1e95554625f78d6bd706865df4d14c408b31131"}}