{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:A6ZTFCSVLZA5BQOPNRAYNIAMPW","short_pith_number":"pith:A6ZTFCSV","canonical_record":{"source":{"id":"1811.09733","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-11-24T00:57:54Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"bf340098ab9eb9942b58cca3083b282a2e11b68ee43a2a4c332c0b2616be62a5","abstract_canon_sha256":"dcdd7943f6661dd0b30c5c22192f022fd00f8582a181c157785ca0c857b880ba"},"schema_version":"1.0"},"canonical_sha256":"07b3328a555e41d0c1cf6c4186a00c7d807569a566d584d85d63bf11c867dfdd","source":{"kind":"arxiv","id":"1811.09733","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.09733","created_at":"2026-05-17T23:43:17Z"},{"alias_kind":"arxiv_version","alias_value":"1811.09733v2","created_at":"2026-05-17T23:43:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.09733","created_at":"2026-05-17T23:43:17Z"},{"alias_kind":"pith_short_12","alias_value":"A6ZTFCSVLZA5","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"A6ZTFCSVLZA5BQOP","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"A6ZTFCSV","created_at":"2026-05-18T12:32:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:A6ZTFCSVLZA5BQOPNRAYNIAMPW","target":"record","payload":{"canonical_record":{"source":{"id":"1811.09733","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-11-24T00:57:54Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"bf340098ab9eb9942b58cca3083b282a2e11b68ee43a2a4c332c0b2616be62a5","abstract_canon_sha256":"dcdd7943f6661dd0b30c5c22192f022fd00f8582a181c157785ca0c857b880ba"},"schema_version":"1.0"},"canonical_sha256":"07b3328a555e41d0c1cf6c4186a00c7d807569a566d584d85d63bf11c867dfdd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:43:17.141541Z","signature_b64":"8RFer3ilnQA2AQ1LiShEF/nAvzSRHnJ33d04mM7e7x8h7SWtWDcs3NoNRRFyBWpRX4S2H3U6C/htzRr/Ot5GDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"07b3328a555e41d0c1cf6c4186a00c7d807569a566d584d85d63bf11c867dfdd","last_reissued_at":"2026-05-17T23:43:17.140985Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:43:17.140985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.09733","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":"2026-05-17T23:43:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/UbUC2KUuCW9E2Plz6krlwkK2Ud3U0zT7uPveYHt7HVmu3SsWUW9+h/oQQ8NchHfhyBfwXpvtjfN9ZiKuH13AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T12:35:35.470005Z"},"content_sha256":"b589fce4a48566b0a41e95a77e33826b199df7571072cb8ec2d21a70d1096570","schema_version":"1.0","event_id":"sha256:b589fce4a48566b0a41e95a77e33826b199df7571072cb8ec2d21a70d1096570"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:A6ZTFCSVLZA5BQOPNRAYNIAMPW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Existence of Scaling Limit Phase Transition in a Two-dimensional Random Polymer Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Luis R. Lucinger, Roberto Vila","submitted_at":"2018-11-24T00:57:54Z","abstract_excerpt":"In this paper we prove a scaling limit phase transition for a class of two-dimensional random polymers."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.09733","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":"2026-05-17T23:43:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4cC6j1rf4RGq+tBd/v5aLh7hQrrKdQMpsKF9sK4OusNFFm9YDFLLaqBQbGNRp9A+VBpmsXprnif3zMVV0DndDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T12:35:35.470367Z"},"content_sha256":"8570e65f1b170dfa37ce12cd480bc34e119420c721ccd14e9653e82fcd8fea6c","schema_version":"1.0","event_id":"sha256:8570e65f1b170dfa37ce12cd480bc34e119420c721ccd14e9653e82fcd8fea6c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A6ZTFCSVLZA5BQOPNRAYNIAMPW/bundle.json","state_url":"https://pith.science/pith/A6ZTFCSVLZA5BQOPNRAYNIAMPW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A6ZTFCSVLZA5BQOPNRAYNIAMPW/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":"2026-05-28T12:35:35Z","links":{"resolver":"https://pith.science/pith/A6ZTFCSVLZA5BQOPNRAYNIAMPW","bundle":"https://pith.science/pith/A6ZTFCSVLZA5BQOPNRAYNIAMPW/bundle.json","state":"https://pith.science/pith/A6ZTFCSVLZA5BQOPNRAYNIAMPW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A6ZTFCSVLZA5BQOPNRAYNIAMPW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:A6ZTFCSVLZA5BQOPNRAYNIAMPW","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":"dcdd7943f6661dd0b30c5c22192f022fd00f8582a181c157785ca0c857b880ba","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-11-24T00:57:54Z","title_canon_sha256":"bf340098ab9eb9942b58cca3083b282a2e11b68ee43a2a4c332c0b2616be62a5"},"schema_version":"1.0","source":{"id":"1811.09733","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.09733","created_at":"2026-05-17T23:43:17Z"},{"alias_kind":"arxiv_version","alias_value":"1811.09733v2","created_at":"2026-05-17T23:43:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.09733","created_at":"2026-05-17T23:43:17Z"},{"alias_kind":"pith_short_12","alias_value":"A6ZTFCSVLZA5","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"A6ZTFCSVLZA5BQOP","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"A6ZTFCSV","created_at":"2026-05-18T12:32:13Z"}],"graph_snapshots":[{"event_id":"sha256:8570e65f1b170dfa37ce12cd480bc34e119420c721ccd14e9653e82fcd8fea6c","target":"graph","created_at":"2026-05-17T23:43:17Z","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":"In this paper we prove a scaling limit phase transition for a class of two-dimensional random polymers.","authors_text":"Luis R. Lucinger, Roberto Vila","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-11-24T00:57:54Z","title":"Existence of Scaling Limit Phase Transition in a Two-dimensional Random Polymer Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.09733","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:b589fce4a48566b0a41e95a77e33826b199df7571072cb8ec2d21a70d1096570","target":"record","created_at":"2026-05-17T23:43:17Z","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":"dcdd7943f6661dd0b30c5c22192f022fd00f8582a181c157785ca0c857b880ba","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-11-24T00:57:54Z","title_canon_sha256":"bf340098ab9eb9942b58cca3083b282a2e11b68ee43a2a4c332c0b2616be62a5"},"schema_version":"1.0","source":{"id":"1811.09733","kind":"arxiv","version":2}},"canonical_sha256":"07b3328a555e41d0c1cf6c4186a00c7d807569a566d584d85d63bf11c867dfdd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"07b3328a555e41d0c1cf6c4186a00c7d807569a566d584d85d63bf11c867dfdd","first_computed_at":"2026-05-17T23:43:17.140985Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:43:17.140985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8RFer3ilnQA2AQ1LiShEF/nAvzSRHnJ33d04mM7e7x8h7SWtWDcs3NoNRRFyBWpRX4S2H3U6C/htzRr/Ot5GDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:43:17.141541Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.09733","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b589fce4a48566b0a41e95a77e33826b199df7571072cb8ec2d21a70d1096570","sha256:8570e65f1b170dfa37ce12cd480bc34e119420c721ccd14e9653e82fcd8fea6c"],"state_sha256":"2202bb5f83d339770205dc96e0c0a8d8217f0df184abf24b2ef0635af45df32a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oWqlANo4PqsyFCt/GyFfceNPvTE6Hh7nXUF08Waf1yl8xP7IT7jUG036IB6PaIeWNBdhJPXxKtZ/GBWIwJEyDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T12:35:35.472406Z","bundle_sha256":"fb6af63305b03c4db230c49be366c09c283aefbc3a2b82b2e61e80f1184a8a5e"}}