{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:XIZ2CEPTFG77YGORHC7THLWYDM","short_pith_number":"pith:XIZ2CEPT","canonical_record":{"source":{"id":"1003.1024","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-03-04T12:08:07Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"1d48a1c1579b86b4b8416721ba46238ba65733a1b2ee49ff0248f7c717d65daa","abstract_canon_sha256":"bf6394044ad19634a4aac74079cc02cb1581cf03cde656cc2f616751c12c24a3"},"schema_version":"1.0"},"canonical_sha256":"ba33a111f329bffc19d138bf33aed81b3ec9e808779f4787b899952e19b70f85","source":{"kind":"arxiv","id":"1003.1024","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.1024","created_at":"2026-05-18T04:02:54Z"},{"alias_kind":"arxiv_version","alias_value":"1003.1024v2","created_at":"2026-05-18T04:02:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.1024","created_at":"2026-05-18T04:02:54Z"},{"alias_kind":"pith_short_12","alias_value":"XIZ2CEPTFG77","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"XIZ2CEPTFG77YGOR","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"XIZ2CEPT","created_at":"2026-05-18T12:26:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:XIZ2CEPTFG77YGORHC7THLWYDM","target":"record","payload":{"canonical_record":{"source":{"id":"1003.1024","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-03-04T12:08:07Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"1d48a1c1579b86b4b8416721ba46238ba65733a1b2ee49ff0248f7c717d65daa","abstract_canon_sha256":"bf6394044ad19634a4aac74079cc02cb1581cf03cde656cc2f616751c12c24a3"},"schema_version":"1.0"},"canonical_sha256":"ba33a111f329bffc19d138bf33aed81b3ec9e808779f4787b899952e19b70f85","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:02:54.569069Z","signature_b64":"T7+bnrRhxmW1FkvEFc6Wvtr3KZI6oqs8JgT9rCSnXg+FOROBzMeVlL3EUJoy2nehb8upIuJjY8SDNaCKpXcxDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ba33a111f329bffc19d138bf33aed81b3ec9e808779f4787b899952e19b70f85","last_reissued_at":"2026-05-18T04:02:54.568254Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:02:54.568254Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1003.1024","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":"2026-05-18T04:02:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TQbpz/6JbYOmRAPOQG9rvvzYi0YkLb9hV5HzgkM6mxnvv27eYrS2ErY32f0PuRmcBLk6W4XBDDTIklQ54NQUAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T06:00:50.503324Z"},"content_sha256":"4bbc9f29877f61def3fe18af892c1538308c926e9e77133d29893f9b06cb207e","schema_version":"1.0","event_id":"sha256:4bbc9f29877f61def3fe18af892c1538308c926e9e77133d29893f9b06cb207e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:XIZ2CEPTFG77YGORHC7THLWYDM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Existence of weak solutions for a class of semilinear stochastic wave equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.AP","authors_text":"Carlo Marinelli, Llu\\'is Quer-Sardanyons","submitted_at":"2010-03-04T12:08:07Z","abstract_excerpt":"We prove existence of weak solutions (in the probabilistic sense) for a general class of stochastic semilinear wave equations on bounded domains of $R^d$ driven by a possibly discontinuous square integrable martingale."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.1024","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":"2026-05-18T04:02:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XQT/h9Sj1knJ9fgaciy+siPbX+9+8WC9l9z0fy3TcTOa+2M7JnswH2Rjwg90iR9OmBBW/P+h5aZQvmNua+evDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T06:00:50.503679Z"},"content_sha256":"6a547aebd53e68708440d11f8efa4221d9630fd08f9b99de46a081eb339ac1ec","schema_version":"1.0","event_id":"sha256:6a547aebd53e68708440d11f8efa4221d9630fd08f9b99de46a081eb339ac1ec"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XIZ2CEPTFG77YGORHC7THLWYDM/bundle.json","state_url":"https://pith.science/pith/XIZ2CEPTFG77YGORHC7THLWYDM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XIZ2CEPTFG77YGORHC7THLWYDM/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":"2026-06-21T06:00:50Z","links":{"resolver":"https://pith.science/pith/XIZ2CEPTFG77YGORHC7THLWYDM","bundle":"https://pith.science/pith/XIZ2CEPTFG77YGORHC7THLWYDM/bundle.json","state":"https://pith.science/pith/XIZ2CEPTFG77YGORHC7THLWYDM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XIZ2CEPTFG77YGORHC7THLWYDM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:XIZ2CEPTFG77YGORHC7THLWYDM","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":"bf6394044ad19634a4aac74079cc02cb1581cf03cde656cc2f616751c12c24a3","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-03-04T12:08:07Z","title_canon_sha256":"1d48a1c1579b86b4b8416721ba46238ba65733a1b2ee49ff0248f7c717d65daa"},"schema_version":"1.0","source":{"id":"1003.1024","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.1024","created_at":"2026-05-18T04:02:54Z"},{"alias_kind":"arxiv_version","alias_value":"1003.1024v2","created_at":"2026-05-18T04:02:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.1024","created_at":"2026-05-18T04:02:54Z"},{"alias_kind":"pith_short_12","alias_value":"XIZ2CEPTFG77","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"XIZ2CEPTFG77YGOR","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"XIZ2CEPT","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:6a547aebd53e68708440d11f8efa4221d9630fd08f9b99de46a081eb339ac1ec","target":"graph","created_at":"2026-05-18T04:02:54Z","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 prove existence of weak solutions (in the probabilistic sense) for a general class of stochastic semilinear wave equations on bounded domains of $R^d$ driven by a possibly discontinuous square integrable martingale.","authors_text":"Carlo Marinelli, Llu\\'is Quer-Sardanyons","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-03-04T12:08:07Z","title":"Existence of weak solutions for a class of semilinear stochastic wave equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.1024","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":"sha256:4bbc9f29877f61def3fe18af892c1538308c926e9e77133d29893f9b06cb207e","target":"record","created_at":"2026-05-18T04:02:54Z","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":"bf6394044ad19634a4aac74079cc02cb1581cf03cde656cc2f616751c12c24a3","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-03-04T12:08:07Z","title_canon_sha256":"1d48a1c1579b86b4b8416721ba46238ba65733a1b2ee49ff0248f7c717d65daa"},"schema_version":"1.0","source":{"id":"1003.1024","kind":"arxiv","version":2}},"canonical_sha256":"ba33a111f329bffc19d138bf33aed81b3ec9e808779f4787b899952e19b70f85","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ba33a111f329bffc19d138bf33aed81b3ec9e808779f4787b899952e19b70f85","first_computed_at":"2026-05-18T04:02:54.568254Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:02:54.568254Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T7+bnrRhxmW1FkvEFc6Wvtr3KZI6oqs8JgT9rCSnXg+FOROBzMeVlL3EUJoy2nehb8upIuJjY8SDNaCKpXcxDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:02:54.569069Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.1024","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4bbc9f29877f61def3fe18af892c1538308c926e9e77133d29893f9b06cb207e","sha256:6a547aebd53e68708440d11f8efa4221d9630fd08f9b99de46a081eb339ac1ec"],"state_sha256":"9532bbbce975a14ea7753f6275f15b1150f9761cb3d95e5cb23f25a9ac99db5e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3GhEnvUrEagheLaumHWanL+PCs0OSI6uw6U6MDeGNGWoT8BJn9Wp4uR1c/nALXcJzgKZWMN2taPCMzHgCRmNDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T06:00:50.505663Z","bundle_sha256":"fe6eecaa59a12056ba4b86197df18ee5fb1b4b1d8b763452b5a78d996d0ad3ab"}}