{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:4MTVIT4FP3XNAKLEFPQJ67QWBO","short_pith_number":"pith:4MTVIT4F","canonical_record":{"source":{"id":"1311.1129","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2013-11-05T17:17:15Z","cross_cats_sorted":[],"title_canon_sha256":"7678b10dc93ae91655fb162038a848042533b7e51ef644c769875d9458b8106d","abstract_canon_sha256":"8c2ee8d87a1ab88d393ee7e499608537156db6694c37a1e8a9db8b92f3c7b039"},"schema_version":"1.0"},"canonical_sha256":"e327544f857eeed029642be09f7e160b9a560fb86dd01160a0f1bfd6b5c40fc0","source":{"kind":"arxiv","id":"1311.1129","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.1129","created_at":"2026-05-18T02:55:49Z"},{"alias_kind":"arxiv_version","alias_value":"1311.1129v1","created_at":"2026-05-18T02:55:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.1129","created_at":"2026-05-18T02:55:49Z"},{"alias_kind":"pith_short_12","alias_value":"4MTVIT4FP3XN","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"4MTVIT4FP3XNAKLE","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"4MTVIT4F","created_at":"2026-05-18T12:27:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:4MTVIT4FP3XNAKLEFPQJ67QWBO","target":"record","payload":{"canonical_record":{"source":{"id":"1311.1129","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2013-11-05T17:17:15Z","cross_cats_sorted":[],"title_canon_sha256":"7678b10dc93ae91655fb162038a848042533b7e51ef644c769875d9458b8106d","abstract_canon_sha256":"8c2ee8d87a1ab88d393ee7e499608537156db6694c37a1e8a9db8b92f3c7b039"},"schema_version":"1.0"},"canonical_sha256":"e327544f857eeed029642be09f7e160b9a560fb86dd01160a0f1bfd6b5c40fc0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:55:49.738449Z","signature_b64":"RqohX9aCYxccvrqsLvhF7GnNYIp1mwLdQYsB/2NfKlIWuninTRdKoLqciTeg8ikwnkkdf9g6ih/bnsbIIfxvBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e327544f857eeed029642be09f7e160b9a560fb86dd01160a0f1bfd6b5c40fc0","last_reissued_at":"2026-05-18T02:55:49.737975Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:55:49.737975Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.1129","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":"2026-05-18T02:55:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TJ5AM4i14/F4pQPv+pdXCk8JXS7Iicey7DEaIl507VBh1b18tokTBR1ANmTuYD8/CWf90EfFtp0ysVKwECClCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T10:03:53.151798Z"},"content_sha256":"f020de1a29cfad2e0e7f0b59ea3a1f25bcac032a0cb35602ea7297ed261a09c0","schema_version":"1.0","event_id":"sha256:f020de1a29cfad2e0e7f0b59ea3a1f25bcac032a0cb35602ea7297ed261a09c0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:4MTVIT4FP3XNAKLEFPQJ67QWBO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Discussion of \"Geodesic Monte Carlo on Embedded Manifolds\"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.CO","authors_text":"Babak Shahbaba, Christof Seiler, Daniel Simpson, Ian L. Dryden, Jeffrey Streets, John T. Kent, Marcelo Pereyra, Mark Girolami, Persi Diaconis, Shiwei Lan, Simon Byrne, Susan Holmes","submitted_at":"2013-11-05T17:17:15Z","abstract_excerpt":"Contributed discussion and rejoinder to \"Geodesic Monte Carlo on Embedded Manifolds\" (arXiv:1301.6064)"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.1129","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":"2026-05-18T02:55:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+3MmE5w1dsKnKrpCVvAa/ZojEDpHFgIEEBQoyZEuBp3QIQ1tDpYduyt8LKqqPX1f59RZ9uPrYPaLSGe1GlFmDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T10:03:53.152150Z"},"content_sha256":"175094f95edc820b578b72084af232ed7ceb3c99320e2aa52a609c9bc025040a","schema_version":"1.0","event_id":"sha256:175094f95edc820b578b72084af232ed7ceb3c99320e2aa52a609c9bc025040a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4MTVIT4FP3XNAKLEFPQJ67QWBO/bundle.json","state_url":"https://pith.science/pith/4MTVIT4FP3XNAKLEFPQJ67QWBO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4MTVIT4FP3XNAKLEFPQJ67QWBO/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":"2026-05-25T10:03:53Z","links":{"resolver":"https://pith.science/pith/4MTVIT4FP3XNAKLEFPQJ67QWBO","bundle":"https://pith.science/pith/4MTVIT4FP3XNAKLEFPQJ67QWBO/bundle.json","state":"https://pith.science/pith/4MTVIT4FP3XNAKLEFPQJ67QWBO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4MTVIT4FP3XNAKLEFPQJ67QWBO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:4MTVIT4FP3XNAKLEFPQJ67QWBO","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":"8c2ee8d87a1ab88d393ee7e499608537156db6694c37a1e8a9db8b92f3c7b039","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2013-11-05T17:17:15Z","title_canon_sha256":"7678b10dc93ae91655fb162038a848042533b7e51ef644c769875d9458b8106d"},"schema_version":"1.0","source":{"id":"1311.1129","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.1129","created_at":"2026-05-18T02:55:49Z"},{"alias_kind":"arxiv_version","alias_value":"1311.1129v1","created_at":"2026-05-18T02:55:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.1129","created_at":"2026-05-18T02:55:49Z"},{"alias_kind":"pith_short_12","alias_value":"4MTVIT4FP3XN","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"4MTVIT4FP3XNAKLE","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"4MTVIT4F","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:175094f95edc820b578b72084af232ed7ceb3c99320e2aa52a609c9bc025040a","target":"graph","created_at":"2026-05-18T02:55:49Z","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":"Contributed discussion and rejoinder to \"Geodesic Monte Carlo on Embedded Manifolds\" (arXiv:1301.6064)","authors_text":"Babak Shahbaba, Christof Seiler, Daniel Simpson, Ian L. Dryden, Jeffrey Streets, John T. Kent, Marcelo Pereyra, Mark Girolami, Persi Diaconis, Shiwei Lan, Simon Byrne, Susan Holmes","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2013-11-05T17:17:15Z","title":"Discussion of \"Geodesic Monte Carlo on Embedded Manifolds\""},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.1129","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:f020de1a29cfad2e0e7f0b59ea3a1f25bcac032a0cb35602ea7297ed261a09c0","target":"record","created_at":"2026-05-18T02:55:49Z","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":"8c2ee8d87a1ab88d393ee7e499608537156db6694c37a1e8a9db8b92f3c7b039","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2013-11-05T17:17:15Z","title_canon_sha256":"7678b10dc93ae91655fb162038a848042533b7e51ef644c769875d9458b8106d"},"schema_version":"1.0","source":{"id":"1311.1129","kind":"arxiv","version":1}},"canonical_sha256":"e327544f857eeed029642be09f7e160b9a560fb86dd01160a0f1bfd6b5c40fc0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e327544f857eeed029642be09f7e160b9a560fb86dd01160a0f1bfd6b5c40fc0","first_computed_at":"2026-05-18T02:55:49.737975Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:55:49.737975Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RqohX9aCYxccvrqsLvhF7GnNYIp1mwLdQYsB/2NfKlIWuninTRdKoLqciTeg8ikwnkkdf9g6ih/bnsbIIfxvBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:55:49.738449Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.1129","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f020de1a29cfad2e0e7f0b59ea3a1f25bcac032a0cb35602ea7297ed261a09c0","sha256:175094f95edc820b578b72084af232ed7ceb3c99320e2aa52a609c9bc025040a"],"state_sha256":"1767f90b651122058f707b9baa07fbad4d97a172482bcd89e7816b2ff5783f17"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3hNItCu0itS2O6HLKEZM0aDjnOkjmpw5nR6hkD/ayCvhwu9GXEwssMUSDdwOJl0R3NC924hoV2uqnxUSUNTbAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T10:03:53.154357Z","bundle_sha256":"a035c735b851f7539655ffbbea25144382d7dfb0f6b881e7b76037dbb64c8713"}}