{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:EZGEWFJCKQAK7FUAMLX4BNVWXQ","short_pith_number":"pith:EZGEWFJC","canonical_record":{"source":{"id":"1703.10233","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-03-25T14:32:11Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"b48d08b69111741c42215178e6116bce340df2d8660dddc3b810b25ac212eb47","abstract_canon_sha256":"a2f635085983e9051b59647d86cd370d3f70a0fc083772b8de5ea565c4f7d6b2"},"schema_version":"1.0"},"canonical_sha256":"264c4b15225400af968062efc0b6b6bc1696b7b224a1a7f5031914d9a95d18e0","source":{"kind":"arxiv","id":"1703.10233","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.10233","created_at":"2026-05-18T00:47:37Z"},{"alias_kind":"arxiv_version","alias_value":"1703.10233v1","created_at":"2026-05-18T00:47:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.10233","created_at":"2026-05-18T00:47:37Z"},{"alias_kind":"pith_short_12","alias_value":"EZGEWFJCKQAK","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EZGEWFJCKQAK7FUA","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EZGEWFJC","created_at":"2026-05-18T12:31:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:EZGEWFJCKQAK7FUAMLX4BNVWXQ","target":"record","payload":{"canonical_record":{"source":{"id":"1703.10233","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-03-25T14:32:11Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"b48d08b69111741c42215178e6116bce340df2d8660dddc3b810b25ac212eb47","abstract_canon_sha256":"a2f635085983e9051b59647d86cd370d3f70a0fc083772b8de5ea565c4f7d6b2"},"schema_version":"1.0"},"canonical_sha256":"264c4b15225400af968062efc0b6b6bc1696b7b224a1a7f5031914d9a95d18e0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:47:37.588469Z","signature_b64":"MpkK+97qCfeOBK4dBquhTVs/FNFFPnJJeTOL9WhfSNiApQ/RvZzg8BUYjvEwzXx/3cmyE7Ctbc6LP5A++Xn2Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"264c4b15225400af968062efc0b6b6bc1696b7b224a1a7f5031914d9a95d18e0","last_reissued_at":"2026-05-18T00:47:37.587975Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:47:37.587975Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.10233","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":"2026-05-18T00:47:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9Luxh4Wf3W1C6IcBW75qYWPkRAgS80E3kva1/4ihGzEvRz/tEubBg3SKOIpyacU6isf/29kWp7mVyrchFP+KAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T00:26:04.594101Z"},"content_sha256":"3fd21c6e04d8e489df8330a155015e25155197b04388766f64485247957ec1dd","schema_version":"1.0","event_id":"sha256:3fd21c6e04d8e489df8330a155015e25155197b04388766f64485247957ec1dd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:EZGEWFJCKQAK7FUAMLX4BNVWXQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analysis of Stochastic Quantization for the fractional Edwards Measure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Torben Fattler, Wolfgang Bock","submitted_at":"2017-03-25T14:32:11Z","abstract_excerpt":"We analyse a diffusion process whose invariant measure is the fractional polymer or Edwards measure for fractional Brownian motion in dimension $d\\in\\mathbb{N}$ with Hurst parameter $H\\in(0,1)$ fulfilling $dH < 1$. We make use of a construction of the diffusion via Dirichlet form techniques in infinite dimensional (Gaussian) analysis. By providing a Fukushima decomposition for the stochastic quantization of the fractional Edwards measure we prove that the constructed process solves weakly a stochastic differential equation in infinite dimension for quasi-all starting points. Moreover, the solu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.10233","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":""},"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":"2026-05-18T00:47:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b7/f2SKKcQxXHi5SeMoZWBx+HhUh1anOdxjXSRCrvpVtmsuDK2xfIec/HDeWwU0vX8guOGewT4efK2lUGq19Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T00:26:04.594480Z"},"content_sha256":"e288c40a302b82bee21873eaf65134cad3dec64dc662ca0c841f457c710f4aff","schema_version":"1.0","event_id":"sha256:e288c40a302b82bee21873eaf65134cad3dec64dc662ca0c841f457c710f4aff"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EZGEWFJCKQAK7FUAMLX4BNVWXQ/bundle.json","state_url":"https://pith.science/pith/EZGEWFJCKQAK7FUAMLX4BNVWXQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EZGEWFJCKQAK7FUAMLX4BNVWXQ/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":"2026-05-30T00:26:04Z","links":{"resolver":"https://pith.science/pith/EZGEWFJCKQAK7FUAMLX4BNVWXQ","bundle":"https://pith.science/pith/EZGEWFJCKQAK7FUAMLX4BNVWXQ/bundle.json","state":"https://pith.science/pith/EZGEWFJCKQAK7FUAMLX4BNVWXQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EZGEWFJCKQAK7FUAMLX4BNVWXQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:EZGEWFJCKQAK7FUAMLX4BNVWXQ","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":"a2f635085983e9051b59647d86cd370d3f70a0fc083772b8de5ea565c4f7d6b2","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-03-25T14:32:11Z","title_canon_sha256":"b48d08b69111741c42215178e6116bce340df2d8660dddc3b810b25ac212eb47"},"schema_version":"1.0","source":{"id":"1703.10233","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.10233","created_at":"2026-05-18T00:47:37Z"},{"alias_kind":"arxiv_version","alias_value":"1703.10233v1","created_at":"2026-05-18T00:47:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.10233","created_at":"2026-05-18T00:47:37Z"},{"alias_kind":"pith_short_12","alias_value":"EZGEWFJCKQAK","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EZGEWFJCKQAK7FUA","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EZGEWFJC","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:e288c40a302b82bee21873eaf65134cad3dec64dc662ca0c841f457c710f4aff","target":"graph","created_at":"2026-05-18T00:47:37Z","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 analyse a diffusion process whose invariant measure is the fractional polymer or Edwards measure for fractional Brownian motion in dimension $d\\in\\mathbb{N}$ with Hurst parameter $H\\in(0,1)$ fulfilling $dH < 1$. We make use of a construction of the diffusion via Dirichlet form techniques in infinite dimensional (Gaussian) analysis. By providing a Fukushima decomposition for the stochastic quantization of the fractional Edwards measure we prove that the constructed process solves weakly a stochastic differential equation in infinite dimension for quasi-all starting points. Moreover, the solu","authors_text":"Torben Fattler, Wolfgang Bock","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-03-25T14:32:11Z","title":"Analysis of Stochastic Quantization for the fractional Edwards Measure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.10233","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":"sha256:3fd21c6e04d8e489df8330a155015e25155197b04388766f64485247957ec1dd","target":"record","created_at":"2026-05-18T00:47:37Z","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":"a2f635085983e9051b59647d86cd370d3f70a0fc083772b8de5ea565c4f7d6b2","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-03-25T14:32:11Z","title_canon_sha256":"b48d08b69111741c42215178e6116bce340df2d8660dddc3b810b25ac212eb47"},"schema_version":"1.0","source":{"id":"1703.10233","kind":"arxiv","version":1}},"canonical_sha256":"264c4b15225400af968062efc0b6b6bc1696b7b224a1a7f5031914d9a95d18e0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"264c4b15225400af968062efc0b6b6bc1696b7b224a1a7f5031914d9a95d18e0","first_computed_at":"2026-05-18T00:47:37.587975Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:47:37.587975Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MpkK+97qCfeOBK4dBquhTVs/FNFFPnJJeTOL9WhfSNiApQ/RvZzg8BUYjvEwzXx/3cmyE7Ctbc6LP5A++Xn2Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:47:37.588469Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.10233","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3fd21c6e04d8e489df8330a155015e25155197b04388766f64485247957ec1dd","sha256:e288c40a302b82bee21873eaf65134cad3dec64dc662ca0c841f457c710f4aff"],"state_sha256":"6f2a105871435a0e99e917436144fbf32a13edee5853278d80145fc48bce795a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hgIplVXEVsUYWEmVZCcVhfoLRVgBH8y5IsFMSc2+azoGoZ/JG/24ufnpKsGqK3wmBG3aiddOJdeznH68DNfEDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T00:26:04.596922Z","bundle_sha256":"8dc109f1b889bd8572bdac22b9036b8f1864820ee3b38dfffc981bb5f9bb15a9"}}