{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:YDTEDGMF65HJRYTG4UPMS3AV5K","short_pith_number":"pith:YDTEDGMF","canonical_record":{"source":{"id":"1811.00518","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-11-01T17:37:05Z","cross_cats_sorted":[],"title_canon_sha256":"308a764d116ce2fffdd9804227060cbf19fdc1038ffdb95a41cf81d2f7df191f","abstract_canon_sha256":"a23cda771f89da75ed968c275471573a20114560b6b0cbcddab4bb64c5305b1a"},"schema_version":"1.0"},"canonical_sha256":"c0e6419985f74e98e266e51ec96c15eabb98219f07cf4cdb642651fddeaa5a64","source":{"kind":"arxiv","id":"1811.00518","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.00518","created_at":"2026-05-17T23:43:50Z"},{"alias_kind":"arxiv_version","alias_value":"1811.00518v5","created_at":"2026-05-17T23:43:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.00518","created_at":"2026-05-17T23:43:50Z"},{"alias_kind":"pith_short_12","alias_value":"YDTEDGMF65HJ","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"YDTEDGMF65HJRYTG","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"YDTEDGMF","created_at":"2026-05-18T12:33:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:YDTEDGMF65HJRYTG4UPMS3AV5K","target":"record","payload":{"canonical_record":{"source":{"id":"1811.00518","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-11-01T17:37:05Z","cross_cats_sorted":[],"title_canon_sha256":"308a764d116ce2fffdd9804227060cbf19fdc1038ffdb95a41cf81d2f7df191f","abstract_canon_sha256":"a23cda771f89da75ed968c275471573a20114560b6b0cbcddab4bb64c5305b1a"},"schema_version":"1.0"},"canonical_sha256":"c0e6419985f74e98e266e51ec96c15eabb98219f07cf4cdb642651fddeaa5a64","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:43:50.562427Z","signature_b64":"9XfZMPaA24AYO1oWFidusEcXC0A17Lt1ckbajyoTW3F9KdFTPhOKuvSp6Q7cMkFKL/zcf56jsM8+A5JegAdgAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c0e6419985f74e98e266e51ec96c15eabb98219f07cf4cdb642651fddeaa5a64","last_reissued_at":"2026-05-17T23:43:50.561497Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:43:50.561497Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.00518","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:43:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FHXecsb8ZzX0+e8Bm/e9Joluwg5BSW+C4XMUAO5Yiiwg7xRiwskv8l7Cj+cSNhY3Dp4At7csDj9mKJpRxkO6BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T18:26:19.146647Z"},"content_sha256":"1e18af05bdd4abb6ec049772b3505481f0a5c0b2d3cc8785eedc0313c6ca060f","schema_version":"1.0","event_id":"sha256:1e18af05bdd4abb6ec049772b3505481f0a5c0b2d3cc8785eedc0313c6ca060f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:YDTEDGMF65HJRYTG4UPMS3AV5K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bessel SPDEs and renormalised local times","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Henri Elad Altman, Lorenzo Zambotti","submitted_at":"2018-11-01T17:37:05Z","abstract_excerpt":"In this article, we prove integration by parts formulae (IbPFs) for the laws of Bessel bridges from 0 to 0 over the interval [0,1] of dimension smaller than 3. As an application, we construct a weak version of an SPDE having the law of a one-dimensional Bessel bridge (i.e. the law of a reflected Brownian bridge) as reversible measure, the dimension 1 being particularly relevant in view of applications to scaling limits of dynamical critical pinning models. We also exploit the IbPFs to conjecture the structure of the SPDEs associated with Bessel bridges of all dimensions smaller than 3."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.00518","kind":"arxiv","version":5},"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":"2026-05-17T23:43:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yHbIWmaVq7vaZYPXnkktpWF7Z8FBbqGimaoGi1Savy6Nmqne7celritFqEhx0JhagmQehLYhCZo4rsXP9kCECg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T18:26:19.147011Z"},"content_sha256":"eaf5715db4d872067aeb19ab187f110dbb7c49d9cbb5ffd2052aaa5ca14b7add","schema_version":"1.0","event_id":"sha256:eaf5715db4d872067aeb19ab187f110dbb7c49d9cbb5ffd2052aaa5ca14b7add"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YDTEDGMF65HJRYTG4UPMS3AV5K/bundle.json","state_url":"https://pith.science/pith/YDTEDGMF65HJRYTG4UPMS3AV5K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YDTEDGMF65HJRYTG4UPMS3AV5K/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":"2026-06-02T18:26:19Z","links":{"resolver":"https://pith.science/pith/YDTEDGMF65HJRYTG4UPMS3AV5K","bundle":"https://pith.science/pith/YDTEDGMF65HJRYTG4UPMS3AV5K/bundle.json","state":"https://pith.science/pith/YDTEDGMF65HJRYTG4UPMS3AV5K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YDTEDGMF65HJRYTG4UPMS3AV5K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:YDTEDGMF65HJRYTG4UPMS3AV5K","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":"a23cda771f89da75ed968c275471573a20114560b6b0cbcddab4bb64c5305b1a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-11-01T17:37:05Z","title_canon_sha256":"308a764d116ce2fffdd9804227060cbf19fdc1038ffdb95a41cf81d2f7df191f"},"schema_version":"1.0","source":{"id":"1811.00518","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.00518","created_at":"2026-05-17T23:43:50Z"},{"alias_kind":"arxiv_version","alias_value":"1811.00518v5","created_at":"2026-05-17T23:43:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.00518","created_at":"2026-05-17T23:43:50Z"},{"alias_kind":"pith_short_12","alias_value":"YDTEDGMF65HJ","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"YDTEDGMF65HJRYTG","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"YDTEDGMF","created_at":"2026-05-18T12:33:04Z"}],"graph_snapshots":[{"event_id":"sha256:eaf5715db4d872067aeb19ab187f110dbb7c49d9cbb5ffd2052aaa5ca14b7add","target":"graph","created_at":"2026-05-17T23:43:50Z","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 article, we prove integration by parts formulae (IbPFs) for the laws of Bessel bridges from 0 to 0 over the interval [0,1] of dimension smaller than 3. As an application, we construct a weak version of an SPDE having the law of a one-dimensional Bessel bridge (i.e. the law of a reflected Brownian bridge) as reversible measure, the dimension 1 being particularly relevant in view of applications to scaling limits of dynamical critical pinning models. We also exploit the IbPFs to conjecture the structure of the SPDEs associated with Bessel bridges of all dimensions smaller than 3.","authors_text":"Henri Elad Altman, Lorenzo Zambotti","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-11-01T17:37:05Z","title":"Bessel SPDEs and renormalised local times"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.00518","kind":"arxiv","version":5},"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":"sha256:1e18af05bdd4abb6ec049772b3505481f0a5c0b2d3cc8785eedc0313c6ca060f","target":"record","created_at":"2026-05-17T23:43:50Z","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":"a23cda771f89da75ed968c275471573a20114560b6b0cbcddab4bb64c5305b1a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-11-01T17:37:05Z","title_canon_sha256":"308a764d116ce2fffdd9804227060cbf19fdc1038ffdb95a41cf81d2f7df191f"},"schema_version":"1.0","source":{"id":"1811.00518","kind":"arxiv","version":5}},"canonical_sha256":"c0e6419985f74e98e266e51ec96c15eabb98219f07cf4cdb642651fddeaa5a64","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c0e6419985f74e98e266e51ec96c15eabb98219f07cf4cdb642651fddeaa5a64","first_computed_at":"2026-05-17T23:43:50.561497Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:43:50.561497Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9XfZMPaA24AYO1oWFidusEcXC0A17Lt1ckbajyoTW3F9KdFTPhOKuvSp6Q7cMkFKL/zcf56jsM8+A5JegAdgAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:43:50.562427Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.00518","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1e18af05bdd4abb6ec049772b3505481f0a5c0b2d3cc8785eedc0313c6ca060f","sha256:eaf5715db4d872067aeb19ab187f110dbb7c49d9cbb5ffd2052aaa5ca14b7add"],"state_sha256":"d4e673043d616b77d54946f5643ee2750e7b4adb6caa90bf6076b5a54a984fb5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6deXxcDFZjkXbguwc67Kjf8gYngznWz5uaAydDubv93aM7j1b7eCGGlY7/U5ABP0P2tkeDViNR1i3HLmB/d3Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T18:26:19.148981Z","bundle_sha256":"c97e15752616ad53eb86bcbf4bc4ebc51664d813d864b0ff473ad1aeae67c199"}}