{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:ABFPUCPNL5YXRQLBDB2POGK36N","short_pith_number":"pith:ABFPUCPN","canonical_record":{"source":{"id":"1608.07061","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-08-25T09:24:03Z","cross_cats_sorted":[],"title_canon_sha256":"9e1c2b1bd9c85e82827b89f14636137135287a4ea4dc4ef017afe7f7761823b5","abstract_canon_sha256":"dd3db3dc4be9492e5ba78a258f96cc19747aefaec835e82ab51b2726ca6f028a"},"schema_version":"1.0"},"canonical_sha256":"004afa09ed5f7178c1611874f7195bf3556799d5bdbdc78e6ebad73cad8b6aaf","source":{"kind":"arxiv","id":"1608.07061","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.07061","created_at":"2026-05-17T23:48:17Z"},{"alias_kind":"arxiv_version","alias_value":"1608.07061v2","created_at":"2026-05-17T23:48:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.07061","created_at":"2026-05-17T23:48:17Z"},{"alias_kind":"pith_short_12","alias_value":"ABFPUCPNL5YX","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"ABFPUCPNL5YXRQLB","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"ABFPUCPN","created_at":"2026-05-18T12:30:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:ABFPUCPNL5YXRQLBDB2POGK36N","target":"record","payload":{"canonical_record":{"source":{"id":"1608.07061","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-08-25T09:24:03Z","cross_cats_sorted":[],"title_canon_sha256":"9e1c2b1bd9c85e82827b89f14636137135287a4ea4dc4ef017afe7f7761823b5","abstract_canon_sha256":"dd3db3dc4be9492e5ba78a258f96cc19747aefaec835e82ab51b2726ca6f028a"},"schema_version":"1.0"},"canonical_sha256":"004afa09ed5f7178c1611874f7195bf3556799d5bdbdc78e6ebad73cad8b6aaf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:17.717394Z","signature_b64":"O8llxLEeXAI0PSboZNrIHvcgNt3piKVOTE8d9WZzhe2C8CZyrfSp4/yIqIUxL3E4DNkPYVclSHPEKw+gr6bABA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"004afa09ed5f7178c1611874f7195bf3556799d5bdbdc78e6ebad73cad8b6aaf","last_reissued_at":"2026-05-17T23:48:17.716842Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:17.716842Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1608.07061","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":"2026-05-17T23:48:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xG3TJfmR4s+/VYSgGyyxtMKalvWyzozbHe3zBP+mmBAR2qknAE6YWnRaG+ytQ48+5uhC5x1ckOthtAuz64UfDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T18:16:46.461081Z"},"content_sha256":"24bacb13394334e8a936074f0633179b4f6403e1d4573beb1ffa135c1df767ad","schema_version":"1.0","event_id":"sha256:24bacb13394334e8a936074f0633179b4f6403e1d4573beb1ffa135c1df767ad"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:ABFPUCPNL5YXRQLBDB2POGK36N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scaling limit of the subdiffusive random walk on a Galton-Watson tree in random environment","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Lo\\\"ic de Raph\\'elis","submitted_at":"2016-08-25T09:24:03Z","abstract_excerpt":"We consider a random walk on a Galton-Watson tree in random environment, in the subdiffusive case. We prove the convergence of the renormalised height function of the walk towards the continuous-time height process of a spectrally positive strictly stable L\\'evy process, jointly with the convergence of the renormalised range of the walk towards the real tree coded by the latter continuous-time height process."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.07061","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":"2026-05-17T23:48:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0w8mQ1ER9oCak5HyfCZcn05Lu99Jm6dj5/FKkT2Q7hbXf0V88Nd9LQNwUbfAv/DN3AfzwSbPSAmLB8o0v5h5Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T18:16:46.461744Z"},"content_sha256":"1d0a8c0916f00d7a482efad6fbac1ee8cc8d54915055ade832379d54e11e0bc7","schema_version":"1.0","event_id":"sha256:1d0a8c0916f00d7a482efad6fbac1ee8cc8d54915055ade832379d54e11e0bc7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ABFPUCPNL5YXRQLBDB2POGK36N/bundle.json","state_url":"https://pith.science/pith/ABFPUCPNL5YXRQLBDB2POGK36N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ABFPUCPNL5YXRQLBDB2POGK36N/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":"2026-06-07T18:16:46Z","links":{"resolver":"https://pith.science/pith/ABFPUCPNL5YXRQLBDB2POGK36N","bundle":"https://pith.science/pith/ABFPUCPNL5YXRQLBDB2POGK36N/bundle.json","state":"https://pith.science/pith/ABFPUCPNL5YXRQLBDB2POGK36N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ABFPUCPNL5YXRQLBDB2POGK36N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:ABFPUCPNL5YXRQLBDB2POGK36N","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":"dd3db3dc4be9492e5ba78a258f96cc19747aefaec835e82ab51b2726ca6f028a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-08-25T09:24:03Z","title_canon_sha256":"9e1c2b1bd9c85e82827b89f14636137135287a4ea4dc4ef017afe7f7761823b5"},"schema_version":"1.0","source":{"id":"1608.07061","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.07061","created_at":"2026-05-17T23:48:17Z"},{"alias_kind":"arxiv_version","alias_value":"1608.07061v2","created_at":"2026-05-17T23:48:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.07061","created_at":"2026-05-17T23:48:17Z"},{"alias_kind":"pith_short_12","alias_value":"ABFPUCPNL5YX","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"ABFPUCPNL5YXRQLB","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"ABFPUCPN","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:1d0a8c0916f00d7a482efad6fbac1ee8cc8d54915055ade832379d54e11e0bc7","target":"graph","created_at":"2026-05-17T23:48:17Z","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":"We consider a random walk on a Galton-Watson tree in random environment, in the subdiffusive case. We prove the convergence of the renormalised height function of the walk towards the continuous-time height process of a spectrally positive strictly stable L\\'evy process, jointly with the convergence of the renormalised range of the walk towards the real tree coded by the latter continuous-time height process.","authors_text":"Lo\\\"ic de Raph\\'elis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-08-25T09:24:03Z","title":"Scaling limit of the subdiffusive random walk on a Galton-Watson tree in random environment"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.07061","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":"sha256:24bacb13394334e8a936074f0633179b4f6403e1d4573beb1ffa135c1df767ad","target":"record","created_at":"2026-05-17T23:48:17Z","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":"dd3db3dc4be9492e5ba78a258f96cc19747aefaec835e82ab51b2726ca6f028a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-08-25T09:24:03Z","title_canon_sha256":"9e1c2b1bd9c85e82827b89f14636137135287a4ea4dc4ef017afe7f7761823b5"},"schema_version":"1.0","source":{"id":"1608.07061","kind":"arxiv","version":2}},"canonical_sha256":"004afa09ed5f7178c1611874f7195bf3556799d5bdbdc78e6ebad73cad8b6aaf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"004afa09ed5f7178c1611874f7195bf3556799d5bdbdc78e6ebad73cad8b6aaf","first_computed_at":"2026-05-17T23:48:17.716842Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:17.716842Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O8llxLEeXAI0PSboZNrIHvcgNt3piKVOTE8d9WZzhe2C8CZyrfSp4/yIqIUxL3E4DNkPYVclSHPEKw+gr6bABA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:17.717394Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.07061","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:24bacb13394334e8a936074f0633179b4f6403e1d4573beb1ffa135c1df767ad","sha256:1d0a8c0916f00d7a482efad6fbac1ee8cc8d54915055ade832379d54e11e0bc7"],"state_sha256":"aafeedfc289cf84ecdc91c242804a904bda5e81254cfd31fb690f348d4013227"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zEoUp1lhewxmKnlaD08y6VMt06AtPsaXhCRU7gE5/kDvLn/MvXQz2+49Q/4aA2YXauZVZ9eSkvRWnCt6O3WVAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T18:16:46.465792Z","bundle_sha256":"ffc6b8e8cd6c0620a3df0fc8774230709dc4320932294fc7b48e2f70b2324908"}}