{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:7YBQPSWHIWBPXY544UTNLJUFY6","short_pith_number":"pith:7YBQPSWH","canonical_record":{"source":{"id":"0905.4876","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-05-29T14:21:35Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"08a6c3a709c99d598e1f4d792240002f731bb15e4ec5fe30accc6e317f0f61dd","abstract_canon_sha256":"48d003626a77537be559c7f632f357c6f1990031f8467c0b1ede47ed8470112c"},"schema_version":"1.0"},"canonical_sha256":"fe0307cac74582fbe3bce526d5a685c7ac60c3ccab8fbc62a44c58ebc60458b5","source":{"kind":"arxiv","id":"0905.4876","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.4876","created_at":"2026-07-04T15:50:16Z"},{"alias_kind":"arxiv_version","alias_value":"0905.4876v1","created_at":"2026-07-04T15:50:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.4876","created_at":"2026-07-04T15:50:16Z"},{"alias_kind":"pith_short_12","alias_value":"7YBQPSWHIWBP","created_at":"2026-07-04T15:50:16Z"},{"alias_kind":"pith_short_16","alias_value":"7YBQPSWHIWBPXY54","created_at":"2026-07-04T15:50:16Z"},{"alias_kind":"pith_short_8","alias_value":"7YBQPSWH","created_at":"2026-07-04T15:50:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:7YBQPSWHIWBPXY544UTNLJUFY6","target":"record","payload":{"canonical_record":{"source":{"id":"0905.4876","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-05-29T14:21:35Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"08a6c3a709c99d598e1f4d792240002f731bb15e4ec5fe30accc6e317f0f61dd","abstract_canon_sha256":"48d003626a77537be559c7f632f357c6f1990031f8467c0b1ede47ed8470112c"},"schema_version":"1.0"},"canonical_sha256":"fe0307cac74582fbe3bce526d5a685c7ac60c3ccab8fbc62a44c58ebc60458b5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:50:16.436986Z","signature_b64":"xR6bYkIsm5R5WSQ3hcBufhhTR9Rp638hO/h9LRDCV6eSCos7DoTvmg1dCvjkOiwew/N7M42OWKIDBto1XaWqCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fe0307cac74582fbe3bce526d5a685c7ac60c3ccab8fbc62a44c58ebc60458b5","last_reissued_at":"2026-07-04T15:50:16.436558Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:50:16.436558Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0905.4876","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:50:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zfvudKRyS4mTmjCCYxDy0zEdINYY60mqazl3hY8lSMHhBJ7fEkj0JiZaQQt14bxIFQuw7q1S8epkVAKaPG3qDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T00:45:45.583906Z"},"content_sha256":"197963d2c661975fe97085e6bb8577bb9844cb354d619e68262c3066eda5844d","schema_version":"1.0","event_id":"sha256:197963d2c661975fe97085e6bb8577bb9844cb354d619e68262c3066eda5844d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:7YBQPSWHIWBPXY544UTNLJUFY6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ageing in bosonic particle-reaction models with long-range transport","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Malte Henkel, Xavier Durang","submitted_at":"2009-05-29T14:21:35Z","abstract_excerpt":"Ageing in systems without detailed balance is studied in bosonic contact and pair-contact processes with Levy diffusion. In the ageing regime, the dynamical scaling of the two-time correlation function and two-time response function is found and analysed. Exact results for non-equilibrium exponents and scaling functions are derived. The behaviour of the fluctuation-dissipation ratio is analysed. A passage time from the quasi-stationary regime to the ageing regime is defined, in qualitative agreement with kinetic spherical models and p-spin spherical glasses."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.4876","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0905.4876/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:50:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GH+pgKYq89x/VXH9EzcefRCvhgWtLSX3RDL5arg0skwbDRUNlT0DtoiOosVkAlDlKKqLml+Oc2dKzKX+BW48Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T00:45:45.584397Z"},"content_sha256":"4f8003f1722f0feb567e860070516312623c66d8badc7448c8cb3f737691c7f3","schema_version":"1.0","event_id":"sha256:4f8003f1722f0feb567e860070516312623c66d8badc7448c8cb3f737691c7f3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7YBQPSWHIWBPXY544UTNLJUFY6/bundle.json","state_url":"https://pith.science/pith/7YBQPSWHIWBPXY544UTNLJUFY6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7YBQPSWHIWBPXY544UTNLJUFY6/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":"2026-08-18T00:45:45Z","links":{"resolver":"https://pith.science/pith/7YBQPSWHIWBPXY544UTNLJUFY6","bundle":"https://pith.science/pith/7YBQPSWHIWBPXY544UTNLJUFY6/bundle.json","state":"https://pith.science/pith/7YBQPSWHIWBPXY544UTNLJUFY6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7YBQPSWHIWBPXY544UTNLJUFY6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:7YBQPSWHIWBPXY544UTNLJUFY6","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":"48d003626a77537be559c7f632f357c6f1990031f8467c0b1ede47ed8470112c","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-05-29T14:21:35Z","title_canon_sha256":"08a6c3a709c99d598e1f4d792240002f731bb15e4ec5fe30accc6e317f0f61dd"},"schema_version":"1.0","source":{"id":"0905.4876","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.4876","created_at":"2026-07-04T15:50:16Z"},{"alias_kind":"arxiv_version","alias_value":"0905.4876v1","created_at":"2026-07-04T15:50:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.4876","created_at":"2026-07-04T15:50:16Z"},{"alias_kind":"pith_short_12","alias_value":"7YBQPSWHIWBP","created_at":"2026-07-04T15:50:16Z"},{"alias_kind":"pith_short_16","alias_value":"7YBQPSWHIWBPXY54","created_at":"2026-07-04T15:50:16Z"},{"alias_kind":"pith_short_8","alias_value":"7YBQPSWH","created_at":"2026-07-04T15:50:16Z"}],"graph_snapshots":[{"event_id":"sha256:4f8003f1722f0feb567e860070516312623c66d8badc7448c8cb3f737691c7f3","target":"graph","created_at":"2026-07-04T15:50:16Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0905.4876/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Ageing in systems without detailed balance is studied in bosonic contact and pair-contact processes with Levy diffusion. In the ageing regime, the dynamical scaling of the two-time correlation function and two-time response function is found and analysed. Exact results for non-equilibrium exponents and scaling functions are derived. The behaviour of the fluctuation-dissipation ratio is analysed. A passage time from the quasi-stationary regime to the ageing regime is defined, in qualitative agreement with kinetic spherical models and p-spin spherical glasses.","authors_text":"Malte Henkel, Xavier Durang","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-05-29T14:21:35Z","title":"Ageing in bosonic particle-reaction models with long-range transport"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.4876","kind":"arxiv","version":1},"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":"sha256:197963d2c661975fe97085e6bb8577bb9844cb354d619e68262c3066eda5844d","target":"record","created_at":"2026-07-04T15:50:16Z","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":"48d003626a77537be559c7f632f357c6f1990031f8467c0b1ede47ed8470112c","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-05-29T14:21:35Z","title_canon_sha256":"08a6c3a709c99d598e1f4d792240002f731bb15e4ec5fe30accc6e317f0f61dd"},"schema_version":"1.0","source":{"id":"0905.4876","kind":"arxiv","version":1}},"canonical_sha256":"fe0307cac74582fbe3bce526d5a685c7ac60c3ccab8fbc62a44c58ebc60458b5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe0307cac74582fbe3bce526d5a685c7ac60c3ccab8fbc62a44c58ebc60458b5","first_computed_at":"2026-07-04T15:50:16.436558Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:50:16.436558Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xR6bYkIsm5R5WSQ3hcBufhhTR9Rp638hO/h9LRDCV6eSCos7DoTvmg1dCvjkOiwew/N7M42OWKIDBto1XaWqCA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:50:16.436986Z","signed_message":"canonical_sha256_bytes"},"source_id":"0905.4876","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:197963d2c661975fe97085e6bb8577bb9844cb354d619e68262c3066eda5844d","sha256:4f8003f1722f0feb567e860070516312623c66d8badc7448c8cb3f737691c7f3"],"state_sha256":"e11f37452b4113192970c0625f52b754716c40b7c23c9ad4c5774c05f38e8ce3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oShT6cOIKWAuf5ATWcEdWb1cMzHuq2msJvBLLf6zpKdMQShE4PJRooV9E1ogSSQxSYIVZT2ekxr85yTzUa51Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T00:45:45.588020Z","bundle_sha256":"b8e28ca9b8f4b982005ef0f948c7313697825d7733948293890660ec0092653a"}}