{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:JMLUGJRA5GGEHBSYJU747UG6AS","short_pith_number":"pith:JMLUGJRA","canonical_record":{"source":{"id":"1601.01972","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-01-08T18:44:03Z","cross_cats_sorted":["math.ST","physics.data-an","q-bio.QM","stat.ML","stat.TH"],"title_canon_sha256":"16e7dc7bbe0b1fbbf5754b6f6784ba07161028838184df216dee5fa77da55093","abstract_canon_sha256":"f137c98ced006361614836ab4e179f699277e1f9961b3cb40db3fa94a1211369"},"schema_version":"1.0"},"canonical_sha256":"4b17432620e98c4386584d3fcfd0de0499fb0dfa2a068e03f86665d1aacf3a39","source":{"kind":"arxiv","id":"1601.01972","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.01972","created_at":"2026-05-18T01:08:26Z"},{"alias_kind":"arxiv_version","alias_value":"1601.01972v2","created_at":"2026-05-18T01:08:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.01972","created_at":"2026-05-18T01:08:26Z"},{"alias_kind":"pith_short_12","alias_value":"JMLUGJRA5GGE","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"JMLUGJRA5GGEHBSY","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"JMLUGJRA","created_at":"2026-05-18T12:30:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:JMLUGJRA5GGEHBSYJU747UG6AS","target":"record","payload":{"canonical_record":{"source":{"id":"1601.01972","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-01-08T18:44:03Z","cross_cats_sorted":["math.ST","physics.data-an","q-bio.QM","stat.ML","stat.TH"],"title_canon_sha256":"16e7dc7bbe0b1fbbf5754b6f6784ba07161028838184df216dee5fa77da55093","abstract_canon_sha256":"f137c98ced006361614836ab4e179f699277e1f9961b3cb40db3fa94a1211369"},"schema_version":"1.0"},"canonical_sha256":"4b17432620e98c4386584d3fcfd0de0499fb0dfa2a068e03f86665d1aacf3a39","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:26.022876Z","signature_b64":"k0OklaFPWIZKrgfSLtHQLJcx5IJ8CwZrtBWmGXG/PcxcK8ea8xcASR4HLK6T32vR35chWQ3XfZ71xfYWdLIzBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4b17432620e98c4386584d3fcfd0de0499fb0dfa2a068e03f86665d1aacf3a39","last_reissued_at":"2026-05-18T01:08:26.022260Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:26.022260Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.01972","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":"2026-05-18T01:08:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sV2oBVM9K06hPUbFSrLDPQiYglZUs2V9f3RSuNOBG8Al76uKqxvuESFZf59Q79oHVyV3hAjR0daAnKSeO/AhAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T10:01:30.433435Z"},"content_sha256":"071102b3af5032a764892069bab64d58fcd1c1ed1c09c66669da157011dffe78","schema_version":"1.0","event_id":"sha256:071102b3af5032a764892069bab64d58fcd1c1ed1c09c66669da157011dffe78"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:JMLUGJRA5GGEHBSYJU747UG6AS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cox process representation and inference for stochastic reaction-diffusion processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","physics.data-an","q-bio.QM","stat.ML","stat.TH"],"primary_cat":"cond-mat.stat-mech","authors_text":"David Schnoerr, Guido Sanguinetti, Ramon Grima","submitted_at":"2016-01-08T18:44:03Z","abstract_excerpt":"Complex behaviour in many systems arises from the stochastic interactions of spatially distributed particles or agents. Stochastic reaction-diffusion processes are widely used to model such behaviour in disciplines ranging from biology to the social sciences, yet they are notoriously difficult to simulate and calibrate to observational data. Here we use ideas from statistical physics and machine learning to provide a solution to the inverse problem of learning a stochastic reaction-diffusion process from data. Our solution relies on a non-trivial connection between stochastic reaction-diffusio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.01972","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":"2026-05-18T01:08:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4hKT0LjFoaHw5dAp2EuW7En/Hv3JMsaOMjBTnNPcKP6CStn47yOAvIT49b4ptyzPQ2jlZDgCYkiOAXWlMK+JCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T10:01:30.433779Z"},"content_sha256":"c7c549b6a1a86e2fbbdbaac12acf3b2fb1b280805b80360a0243f538cdfe5819","schema_version":"1.0","event_id":"sha256:c7c549b6a1a86e2fbbdbaac12acf3b2fb1b280805b80360a0243f538cdfe5819"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JMLUGJRA5GGEHBSYJU747UG6AS/bundle.json","state_url":"https://pith.science/pith/JMLUGJRA5GGEHBSYJU747UG6AS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JMLUGJRA5GGEHBSYJU747UG6AS/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":"2026-05-28T10:01:30Z","links":{"resolver":"https://pith.science/pith/JMLUGJRA5GGEHBSYJU747UG6AS","bundle":"https://pith.science/pith/JMLUGJRA5GGEHBSYJU747UG6AS/bundle.json","state":"https://pith.science/pith/JMLUGJRA5GGEHBSYJU747UG6AS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JMLUGJRA5GGEHBSYJU747UG6AS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:JMLUGJRA5GGEHBSYJU747UG6AS","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":"f137c98ced006361614836ab4e179f699277e1f9961b3cb40db3fa94a1211369","cross_cats_sorted":["math.ST","physics.data-an","q-bio.QM","stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-01-08T18:44:03Z","title_canon_sha256":"16e7dc7bbe0b1fbbf5754b6f6784ba07161028838184df216dee5fa77da55093"},"schema_version":"1.0","source":{"id":"1601.01972","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.01972","created_at":"2026-05-18T01:08:26Z"},{"alias_kind":"arxiv_version","alias_value":"1601.01972v2","created_at":"2026-05-18T01:08:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.01972","created_at":"2026-05-18T01:08:26Z"},{"alias_kind":"pith_short_12","alias_value":"JMLUGJRA5GGE","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"JMLUGJRA5GGEHBSY","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"JMLUGJRA","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:c7c549b6a1a86e2fbbdbaac12acf3b2fb1b280805b80360a0243f538cdfe5819","target":"graph","created_at":"2026-05-18T01:08:26Z","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":"Complex behaviour in many systems arises from the stochastic interactions of spatially distributed particles or agents. Stochastic reaction-diffusion processes are widely used to model such behaviour in disciplines ranging from biology to the social sciences, yet they are notoriously difficult to simulate and calibrate to observational data. Here we use ideas from statistical physics and machine learning to provide a solution to the inverse problem of learning a stochastic reaction-diffusion process from data. Our solution relies on a non-trivial connection between stochastic reaction-diffusio","authors_text":"David Schnoerr, Guido Sanguinetti, Ramon Grima","cross_cats":["math.ST","physics.data-an","q-bio.QM","stat.ML","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-01-08T18:44:03Z","title":"Cox process representation and inference for stochastic reaction-diffusion processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.01972","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":"sha256:071102b3af5032a764892069bab64d58fcd1c1ed1c09c66669da157011dffe78","target":"record","created_at":"2026-05-18T01:08:26Z","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":"f137c98ced006361614836ab4e179f699277e1f9961b3cb40db3fa94a1211369","cross_cats_sorted":["math.ST","physics.data-an","q-bio.QM","stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-01-08T18:44:03Z","title_canon_sha256":"16e7dc7bbe0b1fbbf5754b6f6784ba07161028838184df216dee5fa77da55093"},"schema_version":"1.0","source":{"id":"1601.01972","kind":"arxiv","version":2}},"canonical_sha256":"4b17432620e98c4386584d3fcfd0de0499fb0dfa2a068e03f86665d1aacf3a39","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4b17432620e98c4386584d3fcfd0de0499fb0dfa2a068e03f86665d1aacf3a39","first_computed_at":"2026-05-18T01:08:26.022260Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:08:26.022260Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k0OklaFPWIZKrgfSLtHQLJcx5IJ8CwZrtBWmGXG/PcxcK8ea8xcASR4HLK6T32vR35chWQ3XfZ71xfYWdLIzBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:08:26.022876Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.01972","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:071102b3af5032a764892069bab64d58fcd1c1ed1c09c66669da157011dffe78","sha256:c7c549b6a1a86e2fbbdbaac12acf3b2fb1b280805b80360a0243f538cdfe5819"],"state_sha256":"579c78a40fbed58be1a004b74a209246f720e6d5293cd6d8a28f9d7cee261173"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4/vanu6lv5veOOmd7mcDl3hgflikO2La/VuMvc/WIl8l1JJ5WBsOjVM6aBjiYw5wyATTa6+Sjw6ObOc72XplCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T10:01:30.435654Z","bundle_sha256":"6c2db7ade622a6bbacba9f4a3eef1b337a1c82ccf91577b7691168033debddc2"}}