{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:NXRCISANGL3P55PBH26OMRZOXQ","short_pith_number":"pith:NXRCISAN","canonical_record":{"source":{"id":"1410.4932","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-10-18T09:45:13Z","cross_cats_sorted":["cond-mat.stat-mech","math.CV"],"title_canon_sha256":"a961c4836c8f3ce5a440c3ba4990092325afa5684b69245b17c2a0806fcebbc6","abstract_canon_sha256":"9d2ca6d7587e7ec8e7f472fb6dc48ed22c2f475a5221d46664c34b2af9294647"},"schema_version":"1.0"},"canonical_sha256":"6de224480d32f6fef5e13ebce6472ebc2dec3664d090bf2083e72e851ac0759f","source":{"kind":"arxiv","id":"1410.4932","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.4932","created_at":"2026-05-18T02:39:47Z"},{"alias_kind":"arxiv_version","alias_value":"1410.4932v1","created_at":"2026-05-18T02:39:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.4932","created_at":"2026-05-18T02:39:47Z"},{"alias_kind":"pith_short_12","alias_value":"NXRCISANGL3P","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"NXRCISANGL3P55PB","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"NXRCISAN","created_at":"2026-05-18T12:28:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:NXRCISANGL3P55PBH26OMRZOXQ","target":"record","payload":{"canonical_record":{"source":{"id":"1410.4932","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-10-18T09:45:13Z","cross_cats_sorted":["cond-mat.stat-mech","math.CV"],"title_canon_sha256":"a961c4836c8f3ce5a440c3ba4990092325afa5684b69245b17c2a0806fcebbc6","abstract_canon_sha256":"9d2ca6d7587e7ec8e7f472fb6dc48ed22c2f475a5221d46664c34b2af9294647"},"schema_version":"1.0"},"canonical_sha256":"6de224480d32f6fef5e13ebce6472ebc2dec3664d090bf2083e72e851ac0759f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:39:47.422231Z","signature_b64":"9GsnCCPsxBZZYMV92rEN0HoeHktuUvVal6Zc8rfmlixLJf0p6LifKu9sn64fHnafBmg8BbL+EcLZRmlrWMBNBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6de224480d32f6fef5e13ebce6472ebc2dec3664d090bf2083e72e851ac0759f","last_reissued_at":"2026-05-18T02:39:47.421785Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:39:47.421785Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1410.4932","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":"2026-05-18T02:39:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ie0aM42I3uCknDnPSmaoroiL6zkR8BMPhHY/IS1IKN62pSf/p1hgpdQLGj//rDtSj8nVKm2hzzFUtpn90HOpDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T10:49:17.840612Z"},"content_sha256":"82c4812996d6162d39e6678be9b277b3da5981cfaa62f0c23abf4db1a45ea028","schema_version":"1.0","event_id":"sha256:82c4812996d6162d39e6678be9b277b3da5981cfaa62f0c23abf4db1a45ea028"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:NXRCISANGL3P55PBH26OMRZOXQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Conformal map and harmonic measure of the Bunimovich stadium","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.CV"],"primary_cat":"math.NA","authors_text":"Vipin Kerala Varma","submitted_at":"2014-10-18T09:45:13Z","abstract_excerpt":"We consider the conformal mapping of the Bunimovich stadium, a region enclosed by a Jordan curve with four smooth corners, primarily in the context of a particle undergoing Brownian motion within its closed geometry with Dirichlet boundary conditions. A Chebyshev weighting of the solutions of Symm's integral equation is employed to give a numerical conformal map of the region onto the canonical domain of the unit disk in the complex plane. As a measure of the accuracy of the transformation, the domes' harmonic measure evaluated at the centre of the stadium is thereby extracted and is compared "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.4932","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":"2026-05-18T02:39:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mEbx2GhY7QBdzqLh3svYzofxBA09RpXnZpa/L/UcJr6AdSWgO6jEoGKmnZixPXJnTnKwgoT/i7vDVT9t5zqqDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T10:49:17.840959Z"},"content_sha256":"9efe8ccbca378fe254c5d1d07c26ad24bada29956f8c613a16ef51c1c6cf42b3","schema_version":"1.0","event_id":"sha256:9efe8ccbca378fe254c5d1d07c26ad24bada29956f8c613a16ef51c1c6cf42b3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NXRCISANGL3P55PBH26OMRZOXQ/bundle.json","state_url":"https://pith.science/pith/NXRCISANGL3P55PBH26OMRZOXQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NXRCISANGL3P55PBH26OMRZOXQ/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":"2026-06-25T10:49:17Z","links":{"resolver":"https://pith.science/pith/NXRCISANGL3P55PBH26OMRZOXQ","bundle":"https://pith.science/pith/NXRCISANGL3P55PBH26OMRZOXQ/bundle.json","state":"https://pith.science/pith/NXRCISANGL3P55PBH26OMRZOXQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NXRCISANGL3P55PBH26OMRZOXQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:NXRCISANGL3P55PBH26OMRZOXQ","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":"9d2ca6d7587e7ec8e7f472fb6dc48ed22c2f475a5221d46664c34b2af9294647","cross_cats_sorted":["cond-mat.stat-mech","math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-10-18T09:45:13Z","title_canon_sha256":"a961c4836c8f3ce5a440c3ba4990092325afa5684b69245b17c2a0806fcebbc6"},"schema_version":"1.0","source":{"id":"1410.4932","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.4932","created_at":"2026-05-18T02:39:47Z"},{"alias_kind":"arxiv_version","alias_value":"1410.4932v1","created_at":"2026-05-18T02:39:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.4932","created_at":"2026-05-18T02:39:47Z"},{"alias_kind":"pith_short_12","alias_value":"NXRCISANGL3P","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"NXRCISANGL3P55PB","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"NXRCISAN","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:9efe8ccbca378fe254c5d1d07c26ad24bada29956f8c613a16ef51c1c6cf42b3","target":"graph","created_at":"2026-05-18T02:39:47Z","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 the conformal mapping of the Bunimovich stadium, a region enclosed by a Jordan curve with four smooth corners, primarily in the context of a particle undergoing Brownian motion within its closed geometry with Dirichlet boundary conditions. A Chebyshev weighting of the solutions of Symm's integral equation is employed to give a numerical conformal map of the region onto the canonical domain of the unit disk in the complex plane. As a measure of the accuracy of the transformation, the domes' harmonic measure evaluated at the centre of the stadium is thereby extracted and is compared ","authors_text":"Vipin Kerala Varma","cross_cats":["cond-mat.stat-mech","math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-10-18T09:45:13Z","title":"Conformal map and harmonic measure of the Bunimovich stadium"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.4932","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":"sha256:82c4812996d6162d39e6678be9b277b3da5981cfaa62f0c23abf4db1a45ea028","target":"record","created_at":"2026-05-18T02:39:47Z","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":"9d2ca6d7587e7ec8e7f472fb6dc48ed22c2f475a5221d46664c34b2af9294647","cross_cats_sorted":["cond-mat.stat-mech","math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-10-18T09:45:13Z","title_canon_sha256":"a961c4836c8f3ce5a440c3ba4990092325afa5684b69245b17c2a0806fcebbc6"},"schema_version":"1.0","source":{"id":"1410.4932","kind":"arxiv","version":1}},"canonical_sha256":"6de224480d32f6fef5e13ebce6472ebc2dec3664d090bf2083e72e851ac0759f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6de224480d32f6fef5e13ebce6472ebc2dec3664d090bf2083e72e851ac0759f","first_computed_at":"2026-05-18T02:39:47.421785Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:39:47.421785Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9GsnCCPsxBZZYMV92rEN0HoeHktuUvVal6Zc8rfmlixLJf0p6LifKu9sn64fHnafBmg8BbL+EcLZRmlrWMBNBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:39:47.422231Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.4932","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:82c4812996d6162d39e6678be9b277b3da5981cfaa62f0c23abf4db1a45ea028","sha256:9efe8ccbca378fe254c5d1d07c26ad24bada29956f8c613a16ef51c1c6cf42b3"],"state_sha256":"2acb0962f8144cd4755fc65b4e25a33d15cec515426bb9fc1083ad6b92f3106b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CE/8WD1J2ThSoOw8+OGcGpHz7B7rKWtvJqa5mhtG6s3vUF5o7GpYPo4I9Vupyo0EdQPX4h7m9AcRtOSB8hL3AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T10:49:17.843145Z","bundle_sha256":"9a8d0c7a21c128a01e10555a9c9cdbce0b354d3c26c42ccce0010341297c2fe5"}}