{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:3F2OLB4X64WPQZSN2YFZZ44PFU","short_pith_number":"pith:3F2OLB4X","canonical_record":{"source":{"id":"1809.03209","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-09-10T09:26:18Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"0f127609d6701a9473f67d7a293c81672d393b2d3482ee2cae545f9c40695ea9","abstract_canon_sha256":"6e237dfab3761d7c16e00a82ea61a3895c6bf3dba99e8bdbf1ecb497d9e720a5"},"schema_version":"1.0"},"canonical_sha256":"d974e58797f72cf8664dd60b9cf38f2d161cc80c7029e878c9623e3342703b13","source":{"kind":"arxiv","id":"1809.03209","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.03209","created_at":"2026-05-18T00:06:09Z"},{"alias_kind":"arxiv_version","alias_value":"1809.03209v1","created_at":"2026-05-18T00:06:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.03209","created_at":"2026-05-18T00:06:09Z"},{"alias_kind":"pith_short_12","alias_value":"3F2OLB4X64WP","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"3F2OLB4X64WPQZSN","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"3F2OLB4X","created_at":"2026-05-18T12:32:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:3F2OLB4X64WPQZSN2YFZZ44PFU","target":"record","payload":{"canonical_record":{"source":{"id":"1809.03209","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-09-10T09:26:18Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"0f127609d6701a9473f67d7a293c81672d393b2d3482ee2cae545f9c40695ea9","abstract_canon_sha256":"6e237dfab3761d7c16e00a82ea61a3895c6bf3dba99e8bdbf1ecb497d9e720a5"},"schema_version":"1.0"},"canonical_sha256":"d974e58797f72cf8664dd60b9cf38f2d161cc80c7029e878c9623e3342703b13","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:06:09.655588Z","signature_b64":"/+/X0Of7mSpblAG4f74uMzPtgjPzktrVnIC/DgvuDpFM0n1d8sZ4MZlibn74EXTe6HEIQPp/1gZ11nDebZpMBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d974e58797f72cf8664dd60b9cf38f2d161cc80c7029e878c9623e3342703b13","last_reissued_at":"2026-05-18T00:06:09.654848Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:06:09.654848Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1809.03209","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":"2026-05-18T00:06:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4SCgN0SlC2xj5ycoZIw8nhp+4c1avaG4dsnwWulMg5zWZg+HJV2+z31+eWO7Af73wCTSYnm36oD81B2DjitADQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T21:39:58.082238Z"},"content_sha256":"47583fc99c1ac0db062759da9c166454d8591637913445f15f581d6f91af6c88","schema_version":"1.0","event_id":"sha256:47583fc99c1ac0db062759da9c166454d8591637913445f15f581d6f91af6c88"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:3F2OLB4X64WPQZSN2YFZZ44PFU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Confinement of Brownian Polymers under Geometric Area Tilts","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Dmitry Ioffe, Pietro Caputo, Vitali Wachtel","submitted_at":"2018-09-10T09:26:18Z","abstract_excerpt":"We consider tightness for families of non-colliding Brownian bridges above a hard wall, which are subject to geometrically growing self-potentials of tilted area type. The model is introduced in order to mimic level lines of $2+1$ discrete Solid-On-Solid random interfaces above a hard wall."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.03209","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":"2026-05-18T00:06:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EpI/I+zNr8FfQM/a8erd/ZFte/QjHWk1mXfX2zV+MEhiO+uQDBSp/y3RnZBPxa2znsuMyeUUaFGEfMQiZgdGDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T21:39:58.082595Z"},"content_sha256":"c08eb7c2ac8ed61b92b6567be9722a833b47272814d48c6c311c50e99fe945d5","schema_version":"1.0","event_id":"sha256:c08eb7c2ac8ed61b92b6567be9722a833b47272814d48c6c311c50e99fe945d5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3F2OLB4X64WPQZSN2YFZZ44PFU/bundle.json","state_url":"https://pith.science/pith/3F2OLB4X64WPQZSN2YFZZ44PFU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3F2OLB4X64WPQZSN2YFZZ44PFU/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":"2026-06-02T21:39:58Z","links":{"resolver":"https://pith.science/pith/3F2OLB4X64WPQZSN2YFZZ44PFU","bundle":"https://pith.science/pith/3F2OLB4X64WPQZSN2YFZZ44PFU/bundle.json","state":"https://pith.science/pith/3F2OLB4X64WPQZSN2YFZZ44PFU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3F2OLB4X64WPQZSN2YFZZ44PFU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:3F2OLB4X64WPQZSN2YFZZ44PFU","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":"6e237dfab3761d7c16e00a82ea61a3895c6bf3dba99e8bdbf1ecb497d9e720a5","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-09-10T09:26:18Z","title_canon_sha256":"0f127609d6701a9473f67d7a293c81672d393b2d3482ee2cae545f9c40695ea9"},"schema_version":"1.0","source":{"id":"1809.03209","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.03209","created_at":"2026-05-18T00:06:09Z"},{"alias_kind":"arxiv_version","alias_value":"1809.03209v1","created_at":"2026-05-18T00:06:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.03209","created_at":"2026-05-18T00:06:09Z"},{"alias_kind":"pith_short_12","alias_value":"3F2OLB4X64WP","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"3F2OLB4X64WPQZSN","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"3F2OLB4X","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:c08eb7c2ac8ed61b92b6567be9722a833b47272814d48c6c311c50e99fe945d5","target":"graph","created_at":"2026-05-18T00:06:09Z","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 consider tightness for families of non-colliding Brownian bridges above a hard wall, which are subject to geometrically growing self-potentials of tilted area type. The model is introduced in order to mimic level lines of $2+1$ discrete Solid-On-Solid random interfaces above a hard wall.","authors_text":"Dmitry Ioffe, Pietro Caputo, Vitali Wachtel","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-09-10T09:26:18Z","title":"Confinement of Brownian Polymers under Geometric Area Tilts"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.03209","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":"sha256:47583fc99c1ac0db062759da9c166454d8591637913445f15f581d6f91af6c88","target":"record","created_at":"2026-05-18T00:06:09Z","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":"6e237dfab3761d7c16e00a82ea61a3895c6bf3dba99e8bdbf1ecb497d9e720a5","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-09-10T09:26:18Z","title_canon_sha256":"0f127609d6701a9473f67d7a293c81672d393b2d3482ee2cae545f9c40695ea9"},"schema_version":"1.0","source":{"id":"1809.03209","kind":"arxiv","version":1}},"canonical_sha256":"d974e58797f72cf8664dd60b9cf38f2d161cc80c7029e878c9623e3342703b13","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d974e58797f72cf8664dd60b9cf38f2d161cc80c7029e878c9623e3342703b13","first_computed_at":"2026-05-18T00:06:09.654848Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:06:09.654848Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/+/X0Of7mSpblAG4f74uMzPtgjPzktrVnIC/DgvuDpFM0n1d8sZ4MZlibn74EXTe6HEIQPp/1gZ11nDebZpMBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:06:09.655588Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.03209","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:47583fc99c1ac0db062759da9c166454d8591637913445f15f581d6f91af6c88","sha256:c08eb7c2ac8ed61b92b6567be9722a833b47272814d48c6c311c50e99fe945d5"],"state_sha256":"a7aeb689d3876cb822be76098d124265ae2d53187e2e57e74120cca80929b0b6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ahs5EzOOxU+aUe9A1wcGqBwuEu6gWyWTi5rblCaaSyK6w6i58UopeS7SscM+0lMapA1+L1IDnuPuHvNS18CxDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T21:39:58.084503Z","bundle_sha256":"d39ab7fa2dfb7aae3776afad9cde243aa810db3bc1ec27fe6bb0e9e87c74f8d2"}}